---
_id: '15007'
abstract:
- lang: eng
  text: Traditional blockchains grant the miner of a block full control not only over
    which transactions but also their order. This constitutes a major flaw discovered
    with the introduction of decentralized finance and allows miners to perform MEV
    attacks. In this paper, we address the issue of sandwich attacks by providing
    a construction that takes as input a blockchain protocol and outputs a new blockchain
    protocol with the same security but in which sandwich attacks are not profitable.
    Furthermore, our protocol is fully decentralized with no trusted third parties
    or heavy cryptography primitives and carries a linear increase in latency and
    minimum computation overhead.
acknowledgement: "We would like to thank Krzysztof Pietrzak and Jovana Mićić for useful
  discussions. This work has been funded by the Swiss National Science Foundation
  (SNSF) under grant agreement Nr. 200021_188443 (Advanced Consensus Protocols).\r\n"
alternative_title:
- LIPIcs
article_number: '12'
article_processing_charge: No
arxiv: 1
author:
- first_name: Orestis
  full_name: Alpos, Orestis
  last_name: Alpos
- first_name: Ignacio
  full_name: Amores-Sesar, Ignacio
  last_name: Amores-Sesar
- first_name: Christian
  full_name: Cachin, Christian
  last_name: Cachin
- first_name: Michelle X
  full_name: Yeo, Michelle X
  id: 2D82B818-F248-11E8-B48F-1D18A9856A87
  last_name: Yeo
citation:
  ama: 'Alpos O, Amores-Sesar I, Cachin C, Yeo MX. Eating sandwiches: Modular and
    lightweight elimination of transaction reordering attacks. In: <i>27th International
    Conference on Principles of Distributed Systems</i>. Vol 286. Schloss Dagstuhl
    - Leibniz-Zentrum für Informatik; 2024. doi:<a href="https://doi.org/10.4230/LIPIcs.OPODIS.2023.12">10.4230/LIPIcs.OPODIS.2023.12</a>'
  apa: 'Alpos, O., Amores-Sesar, I., Cachin, C., &#38; Yeo, M. X. (2024). Eating sandwiches:
    Modular and lightweight elimination of transaction reordering attacks. In <i>27th
    International Conference on Principles of Distributed Systems</i> (Vol. 286).
    Tokyo, Japan: Schloss Dagstuhl - Leibniz-Zentrum für Informatik. <a href="https://doi.org/10.4230/LIPIcs.OPODIS.2023.12">https://doi.org/10.4230/LIPIcs.OPODIS.2023.12</a>'
  chicago: 'Alpos, Orestis, Ignacio Amores-Sesar, Christian Cachin, and Michelle X
    Yeo. “Eating Sandwiches: Modular and Lightweight Elimination of Transaction Reordering
    Attacks.” In <i>27th International Conference on Principles of Distributed Systems</i>,
    Vol. 286. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2024. <a href="https://doi.org/10.4230/LIPIcs.OPODIS.2023.12">https://doi.org/10.4230/LIPIcs.OPODIS.2023.12</a>.'
  ieee: 'O. Alpos, I. Amores-Sesar, C. Cachin, and M. X. Yeo, “Eating sandwiches:
    Modular and lightweight elimination of transaction reordering attacks,” in <i>27th
    International Conference on Principles of Distributed Systems</i>, Tokyo, Japan,
    2024, vol. 286.'
  ista: 'Alpos O, Amores-Sesar I, Cachin C, Yeo MX. 2024. Eating sandwiches: Modular
    and lightweight elimination of transaction reordering attacks. 27th International
    Conference on Principles of Distributed Systems. OPODIS: Conference on Principles
    of Distributed Systems, LIPIcs, vol. 286, 12.'
  mla: 'Alpos, Orestis, et al. “Eating Sandwiches: Modular and Lightweight Elimination
    of Transaction Reordering Attacks.” <i>27th International Conference on Principles
    of Distributed Systems</i>, vol. 286, 12, Schloss Dagstuhl - Leibniz-Zentrum für
    Informatik, 2024, doi:<a href="https://doi.org/10.4230/LIPIcs.OPODIS.2023.12">10.4230/LIPIcs.OPODIS.2023.12</a>.'
  short: O. Alpos, I. Amores-Sesar, C. Cachin, M.X. Yeo, in:, 27th International Conference
    on Principles of Distributed Systems, Schloss Dagstuhl - Leibniz-Zentrum für Informatik,
    2024.
conference:
  end_date: 2023-12-08
  location: Tokyo, Japan
  name: 'OPODIS: Conference on Principles of Distributed Systems'
  start_date: 2023-12-06
date_created: 2024-02-18T23:01:02Z
date_published: 2024-01-18T00:00:00Z
date_updated: 2024-02-26T10:18:18Z
day: '18'
ddc:
- '000'
department:
- _id: KrPi
doi: 10.4230/LIPIcs.OPODIS.2023.12
external_id:
  arxiv:
  - '2307.02954'
file:
- access_level: open_access
  checksum: 2993e810a45e8c8056106834b07aea92
  content_type: application/pdf
  creator: dernst
  date_created: 2024-02-26T10:16:57Z
  date_updated: 2024-02-26T10:16:57Z
  file_id: '15031'
  file_name: 2024_LIPICs_Alpos.pdf
  file_size: 1505994
  relation: main_file
  success: 1
file_date_updated: 2024-02-26T10:16:57Z
has_accepted_license: '1'
intvolume: '       286'
language:
- iso: eng
license: https://creativecommons.org/licenses/by/4.0/
month: '01'
oa: 1
oa_version: Published Version
publication: 27th International Conference on Principles of Distributed Systems
publication_identifier:
  isbn:
  - '9783959773089'
  issn:
  - 1868-8969
publication_status: published
publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik
quality_controlled: '1'
scopus_import: '1'
status: public
title: 'Eating sandwiches: Modular and lightweight elimination of transaction reordering
  attacks'
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 286
year: '2024'
...
---
_id: '15008'
abstract:
- lang: eng
  text: "Oblivious routing is a well-studied paradigm that uses static precomputed
    routing tables for selecting routing paths within a network. Existing oblivious
    routing schemes with polylogarithmic competitive ratio for general networks are
    tree-based, in the sense that routing is performed according to a convex combination
    of trees. However, this restriction to trees leads to a construction that has
    time quadratic in the size of the network and does not parallelize well. \r\nIn
    this paper we study oblivious routing schemes based on electrical routing. In
    particular, we show that general networks with n vertices and m edges admit a
    routing scheme that has competitive ratio O(log² n) and consists of a convex combination
    of only O(√m) electrical routings. This immediately leads to an improved construction
    algorithm with time Õ(m^{3/2}) that can also be implemented in parallel with
    Õ(√m) depth."
acknowledgement: "Monika Henzinger and A. R. Sricharan: This project has received
  funding from the European Research Council (ERC) under the European Union’s Horizon
  2020 research and innovation\r\nprogramme (Grant agreement No. 101019564) and the
  Austrian Science Fund (FWF) project Z\r\n422-N, project I 5982-N, and project P
  33775-N, with additional funding from the netidee SCIENCE Stiftung, 2020–2024.\r\nHarald
  Räcke: Research supported by German Research Foundation (DFG), grant 470029389\r\n(FlexNets),
  2021-2024.\r\nSushant Sachdeva: SS’s work is supported by an Natural Sciences and
  Engineering Research Council of Canada (NSERC) Discovery Grant RGPIN-2018-06398
  and a Sloan Research Fellowship."
alternative_title:
- LIPIcs
article_number: '55'
article_processing_charge: No
arxiv: 1
author:
- first_name: Gramoz
  full_name: Goranci, Gramoz
  last_name: Goranci
- first_name: Monika H
  full_name: Henzinger, Monika H
  id: 540c9bbd-f2de-11ec-812d-d04a5be85630
  last_name: Henzinger
  orcid: 0000-0002-5008-6530
- first_name: Harald
  full_name: Räcke, Harald
  last_name: Räcke
- first_name: Sushant
  full_name: Sachdeva, Sushant
  last_name: Sachdeva
- first_name: A. R.
  full_name: Sricharan, A. R.
  last_name: Sricharan
citation:
  ama: 'Goranci G, Henzinger MH, Räcke H, Sachdeva S, Sricharan AR. Electrical flows
    for polylogarithmic competitive oblivious routing. In: <i>15th Innovations in
    Theoretical Computer Science Conference</i>. Vol 287. Schloss Dagstuhl - Leibniz-Zentrum
    für Informatik; 2024. doi:<a href="https://doi.org/10.4230/LIPIcs.ITCS.2024.55">10.4230/LIPIcs.ITCS.2024.55</a>'
  apa: 'Goranci, G., Henzinger, M. H., Räcke, H., Sachdeva, S., &#38; Sricharan, A.
    R. (2024). Electrical flows for polylogarithmic competitive oblivious routing.
    In <i>15th Innovations in Theoretical Computer Science Conference</i> (Vol. 287).
    Berkeley, CA, United States: Schloss Dagstuhl - Leibniz-Zentrum für Informatik.
    <a href="https://doi.org/10.4230/LIPIcs.ITCS.2024.55">https://doi.org/10.4230/LIPIcs.ITCS.2024.55</a>'
  chicago: Goranci, Gramoz, Monika H Henzinger, Harald Räcke, Sushant Sachdeva, and
    A. R. Sricharan. “Electrical Flows for Polylogarithmic Competitive Oblivious Routing.”
    In <i>15th Innovations in Theoretical Computer Science Conference</i>, Vol. 287.
    Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2024. <a href="https://doi.org/10.4230/LIPIcs.ITCS.2024.55">https://doi.org/10.4230/LIPIcs.ITCS.2024.55</a>.
  ieee: G. Goranci, M. H. Henzinger, H. Räcke, S. Sachdeva, and A. R. Sricharan, “Electrical
    flows for polylogarithmic competitive oblivious routing,” in <i>15th Innovations
    in Theoretical Computer Science Conference</i>, Berkeley, CA, United States, 2024,
    vol. 287.
  ista: 'Goranci G, Henzinger MH, Räcke H, Sachdeva S, Sricharan AR. 2024. Electrical
    flows for polylogarithmic competitive oblivious routing. 15th Innovations in Theoretical
    Computer Science Conference. ITCS: Innovations in Theoretical Computer Science
    Conference, LIPIcs, vol. 287, 55.'
  mla: Goranci, Gramoz, et al. “Electrical Flows for Polylogarithmic Competitive Oblivious
    Routing.” <i>15th Innovations in Theoretical Computer Science Conference</i>,
    vol. 287, 55, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2024, doi:<a
    href="https://doi.org/10.4230/LIPIcs.ITCS.2024.55">10.4230/LIPIcs.ITCS.2024.55</a>.
  short: G. Goranci, M.H. Henzinger, H. Räcke, S. Sachdeva, A.R. Sricharan, in:, 15th
    Innovations in Theoretical Computer Science Conference, Schloss Dagstuhl - Leibniz-Zentrum
    für Informatik, 2024.
conference:
  end_date: 2024-02-02
  location: Berkeley, CA, United States
  name: 'ITCS: Innovations in Theoretical Computer Science Conference'
  start_date: 2024-01-30
date_created: 2024-02-18T23:01:02Z
date_published: 2024-01-24T00:00:00Z
date_updated: 2025-07-15T12:51:53Z
day: '24'
ddc:
- '000'
department:
- _id: MoHe
doi: 10.4230/LIPIcs.ITCS.2024.55
ec_funded: 1
external_id:
  arxiv:
  - '2303.02491'
file:
- access_level: open_access
  checksum: b89716aae6a5599f187897e39de1e53a
  content_type: application/pdf
  creator: dernst
  date_created: 2024-02-26T10:10:48Z
  date_updated: 2024-02-26T10:10:48Z
  file_id: '15030'
  file_name: 2024_LIPICs_Goranci.pdf
  file_size: 1054754
  relation: main_file
  success: 1
file_date_updated: 2024-02-26T10:10:48Z
has_accepted_license: '1'
intvolume: '       287'
language:
- iso: eng
month: '01'
oa: 1
oa_version: Published Version
project:
- _id: bd9ca328-d553-11ed-ba76-dc4f890cfe62
  call_identifier: H2020
  grant_number: '101019564'
  name: The design and evaluation of modern fully dynamic data structures
- _id: 34def286-11ca-11ed-8bc3-da5948e1613c
  grant_number: Z00422
  name: Wittgenstein Award - Monika Henzinger
- _id: bda196b2-d553-11ed-ba76-8e8ee6c21103
  grant_number: I05982
  name: Static and Dynamic Hierarchical Graph Decompositions
- _id: bd9e3a2e-d553-11ed-ba76-8aa684ce17fe
  grant_number: 'P33775 '
  name: Fast Algorithms for a Reactive Network Layer
publication: 15th Innovations in Theoretical Computer Science Conference
publication_identifier:
  isbn:
  - '9783959773096'
  issn:
  - 1868-8969
publication_status: published
publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik
quality_controlled: '1'
scopus_import: '1'
status: public
title: Electrical flows for polylogarithmic competitive oblivious routing
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 287
year: '2024'
...
---
_id: '14485'
abstract:
- lang: eng
  text: "Batching is a technique that stores multiple keys/values in each node of
    a data structure. In sequential search data structures, batching reduces latency
    by reducing the number of cache misses and shortening the chain of pointers to
    dereference. Applying batching to concurrent data structures is challenging, because
    it is difficult to maintain the search property and keep contention low in the
    presence of batching.\r\nIn this paper, we present a general methodology for leveraging
    batching in concurrent search data structures, called BatchBoost. BatchBoost builds
    a search data structure from distinct \"data\" and \"index\" layers. The data
    layer’s purpose is to store a batch of key/value pairs in each of its nodes. The
    index layer uses an unmodified concurrent search data structure to route operations
    to a position in the data layer that is \"close\" to where the corresponding key
    should exist. The requirements on the index and data layers are low: with minimal
    effort, we were able to compose three highly scalable concurrent search data structures
    based on three original data structures as the index layers with a batched version
    of the Lazy List as the data layer. The resulting BatchBoost data structures provide
    significant performance improvements over their original counterparts."
alternative_title:
- LIPIcs
article_number: '35'
article_processing_charge: Yes
author:
- first_name: Vitaly
  full_name: Aksenov, Vitaly
  last_name: Aksenov
- first_name: Michael
  full_name: Anoprenko, Michael
  last_name: Anoprenko
- first_name: Alexander
  full_name: Fedorov, Alexander
  id: 2e711909-896a-11ed-bdf8-eb0f5a2984c6
  last_name: Fedorov
- first_name: Michael
  full_name: Spear, Michael
  last_name: Spear
citation:
  ama: 'Aksenov V, Anoprenko M, Fedorov A, Spear M. Brief announcement: BatchBoost:
    Universal batching for concurrent data structures. In: <i>37th International Symposium
    on Distributed Computing</i>. Vol 281. Schloss Dagstuhl - Leibniz-Zentrum für
    Informatik; 2023. doi:<a href="https://doi.org/10.4230/LIPIcs.DISC.2023.35">10.4230/LIPIcs.DISC.2023.35</a>'
  apa: 'Aksenov, V., Anoprenko, M., Fedorov, A., &#38; Spear, M. (2023). Brief announcement:
    BatchBoost: Universal batching for concurrent data structures. In <i>37th International
    Symposium on Distributed Computing</i> (Vol. 281). L’Aquila, Italy: Schloss Dagstuhl
    - Leibniz-Zentrum für Informatik. <a href="https://doi.org/10.4230/LIPIcs.DISC.2023.35">https://doi.org/10.4230/LIPIcs.DISC.2023.35</a>'
  chicago: 'Aksenov, Vitaly, Michael Anoprenko, Alexander Fedorov, and Michael Spear.
    “Brief Announcement: BatchBoost: Universal Batching for Concurrent Data Structures.”
    In <i>37th International Symposium on Distributed Computing</i>, Vol. 281. Schloss
    Dagstuhl - Leibniz-Zentrum für Informatik, 2023. <a href="https://doi.org/10.4230/LIPIcs.DISC.2023.35">https://doi.org/10.4230/LIPIcs.DISC.2023.35</a>.'
  ieee: 'V. Aksenov, M. Anoprenko, A. Fedorov, and M. Spear, “Brief announcement:
    BatchBoost: Universal batching for concurrent data structures,” in <i>37th International
    Symposium on Distributed Computing</i>, L’Aquila, Italy, 2023, vol. 281.'
  ista: 'Aksenov V, Anoprenko M, Fedorov A, Spear M. 2023. Brief announcement: BatchBoost:
    Universal batching for concurrent data structures. 37th International Symposium
    on Distributed Computing. DISC: Symposium on Distributed Computing, LIPIcs, vol.
    281, 35.'
  mla: 'Aksenov, Vitaly, et al. “Brief Announcement: BatchBoost: Universal Batching
    for Concurrent Data Structures.” <i>37th International Symposium on Distributed
    Computing</i>, vol. 281, 35, Schloss Dagstuhl - Leibniz-Zentrum für Informatik,
    2023, doi:<a href="https://doi.org/10.4230/LIPIcs.DISC.2023.35">10.4230/LIPIcs.DISC.2023.35</a>.'
  short: V. Aksenov, M. Anoprenko, A. Fedorov, M. Spear, in:, 37th International Symposium
    on Distributed Computing, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2023.
conference:
  end_date: 2023-10-13
  location: L'Aquila, Italy
  name: 'DISC: Symposium on Distributed Computing'
  start_date: 2023-10-09
date_created: 2023-11-05T23:00:53Z
date_published: 2023-10-01T00:00:00Z
date_updated: 2023-11-07T07:48:01Z
day: '01'
ddc:
- '000'
department:
- _id: GradSch
doi: 10.4230/LIPIcs.DISC.2023.35
file:
- access_level: open_access
  checksum: d9f8d2915cccdf2df5905b7cd1b4a560
  content_type: application/pdf
  creator: dernst
  date_created: 2023-11-06T11:45:21Z
  date_updated: 2023-11-06T11:45:21Z
  file_id: '14492'
  file_name: 2023_LIPIcs_Aksenov.pdf
  file_size: 646665
  relation: main_file
  success: 1
file_date_updated: 2023-11-06T11:45:21Z
has_accepted_license: '1'
intvolume: '       281'
language:
- iso: eng
month: '10'
oa: 1
oa_version: Published Version
publication: 37th International Symposium on Distributed Computing
publication_identifier:
  isbn:
  - '9783959773010'
  issn:
  - 1868-8969
publication_status: published
publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik
quality_controlled: '1'
scopus_import: '1'
status: public
title: 'Brief announcement: BatchBoost: Universal batching for concurrent data structures'
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 281
year: '2023'
...
---
_id: '14516'
abstract:
- lang: eng
  text: 'We revisit decentralized random beacons with a focus on practical distributed
    applications. Decentralized random beacons (Beaver and So, Eurocrypt''93) provide
    the functionality for n parties to generate an unpredictable sequence of bits
    in a way that cannot be biased, which is useful for any decentralized protocol
    requiring trusted randomness. Existing beacon constructions are highly inefficient
    in practical settings where protocol parties need to rejoin after crashes or disconnections,
    and more significantly where smart contracts may rely on arbitrary index points
    in high-volume streams. For this, we introduce a new notion of history-generating
    decentralized random beacons (HGDRBs). Roughly, the history-generation property
    of HGDRBs allows for previous beacon outputs to be efficiently generated knowing
    only the current value and the public key. At application layers, history-generation
    supports registering a sparser set of on-chain values if desired, so that apps
    like lotteries can utilize on-chain values without incurring high-frequency costs,
    enjoying all the benefits of DRBs implemented off-chain or with decoupled, special-purpose
    chains. Unlike rollups, HG is tailored specifically to recovering and verifying
    pseudorandom bit sequences and thus enjoys unique optimizations investigated in
    this work. We introduce STROBE: an efficient HGDRB construction which generalizes
    the original squaring-based RSA approach of Beaver and So. STROBE enjoys several
    useful properties that make it suited for practical applications that use beacons:
    1) history-generating: it can regenerate and verify high-throughput beacon streams,
    supporting sparse (thus cost-effective) ledger entries; 2) concisely self-verifying:
    NIZK-free, with state and validation employing a single ring element; 3) eco-friendly:
    stake-based rather than work based; 4) unbounded: refresh-free, addressing limitations
    of Beaver and So; 5) delay-free: results are immediately available. 6) storage-efficient:
    the last beacon suffices to derive all past outputs, thus O(1) storage requirements
    for nodes serving the whole history.'
acknowledgement: Work done when all the authors were at Novi Research, Meta.
alternative_title:
- LIPIcs
article_number: '7'
article_processing_charge: Yes
author:
- first_name: Donald
  full_name: Beaver, Donald
  last_name: Beaver
- first_name: Mahimna
  full_name: Kelkar, Mahimna
  last_name: Kelkar
- first_name: Kevin
  full_name: Lewi, Kevin
  last_name: Lewi
- first_name: Valeria
  full_name: Nikolaenko, Valeria
  last_name: Nikolaenko
- first_name: Alberto
  full_name: Sonnino, Alberto
  last_name: Sonnino
- first_name: Konstantinos
  full_name: Chalkias, Konstantinos
  last_name: Chalkias
- first_name: Eleftherios
  full_name: Kokoris Kogias, Eleftherios
  id: f5983044-d7ef-11ea-ac6d-fd1430a26d30
  last_name: Kokoris Kogias
- first_name: Ladi De
  full_name: Naurois, Ladi De
  last_name: Naurois
- first_name: Arnab
  full_name: Roy, Arnab
  last_name: Roy
citation:
  ama: 'Beaver D, Kelkar M, Lewi K, et al. STROBE: Streaming Threshold Random Beacons.
    In: <i>5th Conference on Advances in Financial Technologies</i>. Vol 282. Schloss
    Dagstuhl - Leibniz-Zentrum für Informatik; 2023. doi:<a href="https://doi.org/10.4230/LIPIcs.AFT.2023.7">10.4230/LIPIcs.AFT.2023.7</a>'
  apa: 'Beaver, D., Kelkar, M., Lewi, K., Nikolaenko, V., Sonnino, A., Chalkias, K.,
    … Roy, A. (2023). STROBE: Streaming Threshold Random Beacons. In <i>5th Conference
    on Advances in Financial Technologies</i> (Vol. 282). Princeton, NJ, United States:
    Schloss Dagstuhl - Leibniz-Zentrum für Informatik. <a href="https://doi.org/10.4230/LIPIcs.AFT.2023.7">https://doi.org/10.4230/LIPIcs.AFT.2023.7</a>'
  chicago: 'Beaver, Donald, Mahimna Kelkar, Kevin Lewi, Valeria Nikolaenko, Alberto
    Sonnino, Konstantinos Chalkias, Eleftherios Kokoris Kogias, Ladi De Naurois, and
    Arnab Roy. “STROBE: Streaming Threshold Random Beacons.” In <i>5th Conference
    on Advances in Financial Technologies</i>, Vol. 282. Schloss Dagstuhl - Leibniz-Zentrum
    für Informatik, 2023. <a href="https://doi.org/10.4230/LIPIcs.AFT.2023.7">https://doi.org/10.4230/LIPIcs.AFT.2023.7</a>.'
  ieee: 'D. Beaver <i>et al.</i>, “STROBE: Streaming Threshold Random Beacons,” in
    <i>5th Conference on Advances in Financial Technologies</i>, Princeton, NJ, United
    States, 2023, vol. 282.'
  ista: 'Beaver D, Kelkar M, Lewi K, Nikolaenko V, Sonnino A, Chalkias K, Kokoris
    Kogias E, Naurois LD, Roy A. 2023. STROBE: Streaming Threshold Random Beacons.
    5th Conference on Advances in Financial Technologies. AFT: Conference on Advances
    in Financial Technologies, LIPIcs, vol. 282, 7.'
  mla: 'Beaver, Donald, et al. “STROBE: Streaming Threshold Random Beacons.” <i>5th
    Conference on Advances in Financial Technologies</i>, vol. 282, 7, Schloss Dagstuhl
    - Leibniz-Zentrum für Informatik, 2023, doi:<a href="https://doi.org/10.4230/LIPIcs.AFT.2023.7">10.4230/LIPIcs.AFT.2023.7</a>.'
  short: D. Beaver, M. Kelkar, K. Lewi, V. Nikolaenko, A. Sonnino, K. Chalkias, E.
    Kokoris Kogias, L.D. Naurois, A. Roy, in:, 5th Conference on Advances in Financial
    Technologies, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2023.
conference:
  end_date: 2023-10-25
  location: Princeton, NJ, United States
  name: 'AFT: Conference on Advances in Financial Technologies'
  start_date: 2023-10-23
date_created: 2023-11-12T23:00:55Z
date_published: 2023-10-01T00:00:00Z
date_updated: 2023-11-13T08:52:01Z
day: '01'
ddc:
- '000'
department:
- _id: ElKo
doi: 10.4230/LIPIcs.AFT.2023.7
file:
- access_level: open_access
  checksum: c1f98831cb5149d6c030c41999e6e960
  content_type: application/pdf
  creator: dernst
  date_created: 2023-11-13T08:44:34Z
  date_updated: 2023-11-13T08:44:34Z
  file_id: '14521'
  file_name: 2023_LIPIcs_Beaver.pdf
  file_size: 793495
  relation: main_file
  success: 1
file_date_updated: 2023-11-13T08:44:34Z
has_accepted_license: '1'
intvolume: '       282'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://eprint.iacr.org/2021/1643
month: '10'
oa: 1
oa_version: Published Version
publication: 5th Conference on Advances in Financial Technologies
publication_identifier:
  isbn:
  - '9783959773034'
  issn:
  - 1868-8969
publication_status: published
publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik
quality_controlled: '1'
scopus_import: '1'
status: public
title: 'STROBE: Streaming Threshold Random Beacons'
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 282
year: '2023'
...
---
_id: '14083'
abstract:
- lang: eng
  text: "In this work we consider the list-decodability and list-recoverability of
    arbitrary q-ary codes, for all integer values of q ≥ 2. A code is called (p,L)_q-list-decodable
    if every radius pn Hamming ball contains less than L codewords; (p,\U0001D4C1,L)_q-list-recoverability
    is a generalization where we place radius pn Hamming balls on every point of a
    combinatorial rectangle with side length \U0001D4C1 and again stipulate that there
    be less than L codewords.\r\nOur main contribution is to precisely calculate the
    maximum value of p for which there exist infinite families of positive rate (p,\U0001D4C1,L)_q-list-recoverable
    codes, the quantity we call the zero-rate threshold. Denoting this value by p_*,
    we in fact show that codes correcting a p_*+ε fraction of errors must have size
    O_ε(1), i.e., independent of n. Such a result is typically referred to as a \"Plotkin
    bound.\" To complement this, a standard random code with expurgation construction
    shows that there exist positive rate codes correcting a p_*-ε fraction of errors.
    We also follow a classical proof template (typically attributed to Elias and Bassalygo)
    to derive from the zero-rate threshold other tradeoffs between rate and decoding
    radius for list-decoding and list-recovery.\r\nTechnically, proving the Plotkin
    bound boils down to demonstrating the Schur convexity of a certain function defined
    on the q-simplex as well as the convexity of a univariate function derived from
    it. We remark that an earlier argument claimed similar results for q-ary list-decoding;
    however, we point out that this earlier proof is flawed."
acknowledgement: "Nicolas Resch: Research supported in part by ERC H2020 grant No.74079
  (ALGSTRONGCRYPTO). Chen Yuan: Research supported in part by the National Key Research
  and Development Projects under Grant 2022YFA1004900 and Grant 2021YFE0109900, the
  National Natural Science Foundation of China under Grant 12101403 and Grant 12031011.\r\nAcknowledgements
  YZ is grateful to Shashank Vatedka, Diyuan Wu and Fengxing Zhu for inspiring discussions."
alternative_title:
- LIPIcs
article_number: '99'
article_processing_charge: Yes
arxiv: 1
author:
- first_name: Nicolas
  full_name: Resch, Nicolas
  last_name: Resch
- first_name: Chen
  full_name: Yuan, Chen
  last_name: Yuan
- first_name: Yihan
  full_name: Zhang, Yihan
  id: 2ce5da42-b2ea-11eb-bba5-9f264e9d002c
  last_name: Zhang
  orcid: 0000-0002-6465-6258
citation:
  ama: 'Resch N, Yuan C, Zhang Y. Zero-rate thresholds and new capacity bounds for
    list-decoding and list-recovery. In: <i>50th International Colloquium on Automata,
    Languages, and Programming</i>. Vol 261. Schloss Dagstuhl - Leibniz-Zentrum für
    Informatik; 2023. doi:<a href="https://doi.org/10.4230/LIPIcs.ICALP.2023.99">10.4230/LIPIcs.ICALP.2023.99</a>'
  apa: 'Resch, N., Yuan, C., &#38; Zhang, Y. (2023). Zero-rate thresholds and new
    capacity bounds for list-decoding and list-recovery. In <i>50th International
    Colloquium on Automata, Languages, and Programming</i> (Vol. 261). Paderborn,
    Germany: Schloss Dagstuhl - Leibniz-Zentrum für Informatik. <a href="https://doi.org/10.4230/LIPIcs.ICALP.2023.99">https://doi.org/10.4230/LIPIcs.ICALP.2023.99</a>'
  chicago: Resch, Nicolas, Chen Yuan, and Yihan Zhang. “Zero-Rate Thresholds and New
    Capacity Bounds for List-Decoding and List-Recovery.” In <i>50th International
    Colloquium on Automata, Languages, and Programming</i>, Vol. 261. Schloss Dagstuhl
    - Leibniz-Zentrum für Informatik, 2023. <a href="https://doi.org/10.4230/LIPIcs.ICALP.2023.99">https://doi.org/10.4230/LIPIcs.ICALP.2023.99</a>.
  ieee: N. Resch, C. Yuan, and Y. Zhang, “Zero-rate thresholds and new capacity bounds
    for list-decoding and list-recovery,” in <i>50th International Colloquium on Automata,
    Languages, and Programming</i>, Paderborn, Germany, 2023, vol. 261.
  ista: 'Resch N, Yuan C, Zhang Y. 2023. Zero-rate thresholds and new capacity bounds
    for list-decoding and list-recovery. 50th International Colloquium on Automata,
    Languages, and Programming. ICALP: International Colloquium on Automata, Languages,
    and Programming, LIPIcs, vol. 261, 99.'
  mla: Resch, Nicolas, et al. “Zero-Rate Thresholds and New Capacity Bounds for List-Decoding
    and List-Recovery.” <i>50th International Colloquium on Automata, Languages, and
    Programming</i>, vol. 261, 99, Schloss Dagstuhl - Leibniz-Zentrum für Informatik,
    2023, doi:<a href="https://doi.org/10.4230/LIPIcs.ICALP.2023.99">10.4230/LIPIcs.ICALP.2023.99</a>.
  short: N. Resch, C. Yuan, Y. Zhang, in:, 50th International Colloquium on Automata,
    Languages, and Programming, Schloss Dagstuhl - Leibniz-Zentrum für Informatik,
    2023.
conference:
  end_date: 2023-07-14
  location: Paderborn, Germany
  name: 'ICALP: International Colloquium on Automata, Languages, and Programming'
  start_date: 2023-07-10
date_created: 2023-08-20T22:01:13Z
date_published: 2023-07-01T00:00:00Z
date_updated: 2023-08-21T07:26:01Z
day: '01'
ddc:
- '000'
department:
- _id: MaMo
doi: 10.4230/LIPIcs.ICALP.2023.99
external_id:
  arxiv:
  - '2210.07754'
file:
- access_level: open_access
  checksum: a449143fec3fbebb092cb8ef3b53c226
  content_type: application/pdf
  creator: dernst
  date_created: 2023-08-21T07:23:18Z
  date_updated: 2023-08-21T07:23:18Z
  file_id: '14091'
  file_name: 2023_LIPIcsICALP_Resch.pdf
  file_size: 1141497
  relation: main_file
  success: 1
file_date_updated: 2023-08-21T07:23:18Z
has_accepted_license: '1'
intvolume: '       261'
language:
- iso: eng
month: '07'
oa: 1
oa_version: Published Version
publication: 50th International Colloquium on Automata, Languages, and Programming
publication_identifier:
  isbn:
  - '9783959772785'
  issn:
  - 1868-8969
publication_status: published
publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik
quality_controlled: '1'
scopus_import: '1'
status: public
title: Zero-rate thresholds and new capacity bounds for list-decoding and list-recovery
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 261
year: '2023'
...
---
_id: '14084'
abstract:
- lang: eng
  text: "A central problem in computational statistics is to convert a procedure for
    sampling combinatorial objects into a procedure for counting those objects, and
    vice versa. We will consider sampling problems which come from Gibbs distributions,
    which are families of probability distributions over a discrete space Ω with probability
    mass function of the form μ^Ω_β(ω) ∝ e^{β H(ω)} for β in an interval [β_min, β_max]
    and H(ω) ∈ {0} ∪ [1, n].\r\nThe partition function is the normalization factor
    Z(β) = ∑_{ω ∈ Ω} e^{β H(ω)}, and the log partition ratio is defined as q = (log
    Z(β_max))/Z(β_min)\r\nWe develop a number of algorithms to estimate the counts
    c_x using roughly Õ(q/ε²) samples for general Gibbs distributions and Õ(n²/ε²)
    samples for integer-valued distributions (ignoring some second-order terms and
    parameters), We show this is optimal up to logarithmic factors. We illustrate
    with improved algorithms for counting connected subgraphs and perfect matchings
    in a graph."
acknowledgement: We thank Heng Guo for helpful explanations of algorithms for sampling
  connected subgraphs and matchings, Maksym Serbyn for bringing to our attention the
  Wang-Landau algorithm and its use in physics.
alternative_title:
- LIPIcs
article_number: '72'
article_processing_charge: Yes
arxiv: 1
author:
- first_name: David G.
  full_name: Harris, David G.
  last_name: Harris
- first_name: Vladimir
  full_name: Kolmogorov, Vladimir
  id: 3D50B0BA-F248-11E8-B48F-1D18A9856A87
  last_name: Kolmogorov
citation:
  ama: 'Harris DG, Kolmogorov V. Parameter estimation for Gibbs distributions. In:
    <i>50th International Colloquium on Automata, Languages, and Programming</i>.
    Vol 261. Schloss Dagstuhl - Leibniz-Zentrum für Informatik; 2023. doi:<a href="https://doi.org/10.4230/LIPIcs.ICALP.2023.72">10.4230/LIPIcs.ICALP.2023.72</a>'
  apa: 'Harris, D. G., &#38; Kolmogorov, V. (2023). Parameter estimation for Gibbs
    distributions. In <i>50th International Colloquium on Automata, Languages, and
    Programming</i> (Vol. 261). Paderborn, Germany: Schloss Dagstuhl - Leibniz-Zentrum
    für Informatik. <a href="https://doi.org/10.4230/LIPIcs.ICALP.2023.72">https://doi.org/10.4230/LIPIcs.ICALP.2023.72</a>'
  chicago: Harris, David G., and Vladimir Kolmogorov. “Parameter Estimation for Gibbs
    Distributions.” In <i>50th International Colloquium on Automata, Languages, and
    Programming</i>, Vol. 261. Schloss Dagstuhl - Leibniz-Zentrum für Informatik,
    2023. <a href="https://doi.org/10.4230/LIPIcs.ICALP.2023.72">https://doi.org/10.4230/LIPIcs.ICALP.2023.72</a>.
  ieee: D. G. Harris and V. Kolmogorov, “Parameter estimation for Gibbs distributions,”
    in <i>50th International Colloquium on Automata, Languages, and Programming</i>,
    Paderborn, Germany, 2023, vol. 261.
  ista: 'Harris DG, Kolmogorov V. 2023. Parameter estimation for Gibbs distributions.
    50th International Colloquium on Automata, Languages, and Programming. ICALP:
    International Colloquium on Automata, Languages, and Programming, LIPIcs, vol.
    261, 72.'
  mla: Harris, David G., and Vladimir Kolmogorov. “Parameter Estimation for Gibbs
    Distributions.” <i>50th International Colloquium on Automata, Languages, and Programming</i>,
    vol. 261, 72, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2023, doi:<a
    href="https://doi.org/10.4230/LIPIcs.ICALP.2023.72">10.4230/LIPIcs.ICALP.2023.72</a>.
  short: D.G. Harris, V. Kolmogorov, in:, 50th International Colloquium on Automata,
    Languages, and Programming, Schloss Dagstuhl - Leibniz-Zentrum für Informatik,
    2023.
conference:
  end_date: 2023-07-14
  location: Paderborn, Germany
  name: 'ICALP: International Colloquium on Automata, Languages, and Programming'
  start_date: 2023-07-10
date_created: 2023-08-20T22:01:14Z
date_published: 2023-07-01T00:00:00Z
date_updated: 2023-08-21T06:49:11Z
day: '01'
ddc:
- '000'
- '510'
department:
- _id: VlKo
doi: 10.4230/LIPIcs.ICALP.2023.72
external_id:
  arxiv:
  - '2007.10824'
file:
- access_level: open_access
  checksum: 6dee0684245bb1c524b9c955db1e933d
  content_type: application/pdf
  creator: dernst
  date_created: 2023-08-21T06:45:16Z
  date_updated: 2023-08-21T06:45:16Z
  file_id: '14088'
  file_name: 2023_LIPIcsICALP_Harris.pdf
  file_size: 917791
  relation: main_file
  success: 1
file_date_updated: 2023-08-21T06:45:16Z
has_accepted_license: '1'
intvolume: '       261'
language:
- iso: eng
month: '07'
oa: 1
oa_version: Published Version
publication: 50th International Colloquium on Automata, Languages, and Programming
publication_identifier:
  isbn:
  - '9783959772785'
  issn:
  - 1868-8969
publication_status: published
publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik
quality_controlled: '1'
scopus_import: '1'
status: public
title: Parameter estimation for Gibbs distributions
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 261
year: '2023'
...
---
_id: '14085'
abstract:
- lang: eng
  text: We show an (1+ϵ)-approximation algorithm for maintaining maximum s-t flow
    under m edge insertions in m1/2+o(1)ϵ−1/2 amortized update time for directed,
    unweighted graphs. This constitutes the first sublinear dynamic maximum flow algorithm
    in general sparse graphs with arbitrarily good approximation guarantee.
acknowledgement: "This project has received funding from the European Research Council
  (ERC) under the European Union’s Horizon 2020 research and innovation programme
  (Grant agreement No.\r\n101019564 “The Design of Modern Fully Dynamic Data Structures
  (MoDynStruct)” and from the\r\nAustrian Science Fund (FWF) project “Static and Dynamic
  Hierarchical Graph Decompositions”,\r\nI 5982-N, and project “Fast Algorithms for
  a Reactive Network Layer (ReactNet)”, P 33775-N, with additional funding from the
  netidee SCIENCE Stiftung, 2020–2024.\r\nThis work was done in part while Gramoz
  Goranci was at Institute for Theoretical Studies, ETH Zurich, Switzerland. There,
  he was supported by Dr. Max Rössler, the Walter Haefner Foundation and the ETH Zürich
  Foundation. We also thank Richard Peng, Thatchaphol Saranurak, Sebastian Forster
  and Sushant Sachdeva for helpful discussions, and the anonymous reviewers for their
  insightful comments."
alternative_title:
- LIPIcs
article_number: '69'
article_processing_charge: Yes
author:
- first_name: Gramoz
  full_name: Goranci, Gramoz
  last_name: Goranci
- first_name: Monika H
  full_name: Henzinger, Monika H
  id: 540c9bbd-f2de-11ec-812d-d04a5be85630
  last_name: Henzinger
  orcid: 0000-0002-5008-6530
citation:
  ama: 'Goranci G, Henzinger MH. Efficient data structures for incremental exact and
    approximate maximum flow. In: <i>50th International Colloquium on Automata, Languages,
    and Programming</i>. Vol 261. Schloss Dagstuhl - Leibniz-Zentrum für Informatik;
    2023. doi:<a href="https://doi.org/10.4230/LIPIcs.ICALP.2023.69">10.4230/LIPIcs.ICALP.2023.69</a>'
  apa: 'Goranci, G., &#38; Henzinger, M. H. (2023). Efficient data structures for
    incremental exact and approximate maximum flow. In <i>50th International Colloquium
    on Automata, Languages, and Programming</i> (Vol. 261). Paderborn, Germany: Schloss
    Dagstuhl - Leibniz-Zentrum für Informatik. <a href="https://doi.org/10.4230/LIPIcs.ICALP.2023.69">https://doi.org/10.4230/LIPIcs.ICALP.2023.69</a>'
  chicago: Goranci, Gramoz, and Monika H Henzinger. “Efficient Data Structures for
    Incremental Exact and Approximate Maximum Flow.” In <i>50th International Colloquium
    on Automata, Languages, and Programming</i>, Vol. 261. Schloss Dagstuhl - Leibniz-Zentrum
    für Informatik, 2023. <a href="https://doi.org/10.4230/LIPIcs.ICALP.2023.69">https://doi.org/10.4230/LIPIcs.ICALP.2023.69</a>.
  ieee: G. Goranci and M. H. Henzinger, “Efficient data structures for incremental
    exact and approximate maximum flow,” in <i>50th International Colloquium on Automata,
    Languages, and Programming</i>, Paderborn, Germany, 2023, vol. 261.
  ista: 'Goranci G, Henzinger MH. 2023. Efficient data structures for incremental
    exact and approximate maximum flow. 50th International Colloquium on Automata,
    Languages, and Programming. ICALP: International Colloquium on Automata, Languages,
    and Programming, LIPIcs, vol. 261, 69.'
  mla: Goranci, Gramoz, and Monika H. Henzinger. “Efficient Data Structures for Incremental
    Exact and Approximate Maximum Flow.” <i>50th International Colloquium on Automata,
    Languages, and Programming</i>, vol. 261, 69, Schloss Dagstuhl - Leibniz-Zentrum
    für Informatik, 2023, doi:<a href="https://doi.org/10.4230/LIPIcs.ICALP.2023.69">10.4230/LIPIcs.ICALP.2023.69</a>.
  short: G. Goranci, M.H. Henzinger, in:, 50th International Colloquium on Automata,
    Languages, and Programming, Schloss Dagstuhl - Leibniz-Zentrum für Informatik,
    2023.
conference:
  end_date: 2023-07-14
  location: Paderborn, Germany
  name: 'ICALP: International Colloquium on Automata, Languages, and Programming'
  start_date: 2023-07-10
date_created: 2023-08-20T22:01:14Z
date_published: 2023-07-01T00:00:00Z
date_updated: 2023-08-21T07:00:49Z
day: '01'
ddc:
- '000'
department:
- _id: MoHe
doi: 10.4230/LIPIcs.ICALP.2023.69
ec_funded: 1
external_id:
  unknown:
  - '2211.09606'
file:
- access_level: open_access
  checksum: 074177e815a1656de5d4071c7a3dffa6
  content_type: application/pdf
  creator: dernst
  date_created: 2023-08-21T06:59:05Z
  date_updated: 2023-08-21T06:59:05Z
  file_id: '14089'
  file_name: 2023_LIPIcsICALP_Goranci.pdf
  file_size: 875910
  relation: main_file
  success: 1
file_date_updated: 2023-08-21T06:59:05Z
has_accepted_license: '1'
intvolume: '       261'
language:
- iso: eng
month: '07'
oa: 1
oa_version: Published Version
project:
- _id: bd9ca328-d553-11ed-ba76-dc4f890cfe62
  call_identifier: H2020
  grant_number: '101019564'
  name: The design and evaluation of modern fully dynamic data structures
- _id: bda196b2-d553-11ed-ba76-8e8ee6c21103
  grant_number: I05982
  name: Static and Dynamic Hierarchical Graph Decompositions
- _id: bd9e3a2e-d553-11ed-ba76-8aa684ce17fe
  grant_number: 'P33775 '
  name: Fast Algorithms for a Reactive Network Layer
publication: 50th International Colloquium on Automata, Languages, and Programming
publication_identifier:
  isbn:
  - '9783959772785'
  issn:
  - 1868-8969
publication_status: published
publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik
quality_controlled: '1'
scopus_import: '1'
status: public
title: Efficient data structures for incremental exact and approximate maximum flow
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 261
year: '2023'
...
---
_id: '12760'
abstract:
- lang: eng
  text: "Dynamic programming (DP) is one of the fundamental paradigms in algorithm
    design. However,\r\nmany DP algorithms have to fill in large DP tables, represented
    by two-dimensional arrays, which causes at least quadratic running times and space
    usages. This has led to the development of improved algorithms for special cases
    when the DPs satisfy additional properties like, e.g., the Monge property or total
    monotonicity.\r\nIn this paper, we consider a new condition which assumes (among
    some other technical assumptions) that the rows of the DP table are monotone.
    Under this assumption, we introduce\r\na novel data structure for computing (1
    + ϵ)-approximate DP solutions in near-linear time and\r\nspace in the static setting,
    and with polylogarithmic update times when the DP entries change\r\ndynamically.
    To the best of our knowledge, our new condition is incomparable to previous conditions
    and is the first which allows to derive dynamic algorithms based on existing DPs.
    Instead of using two-dimensional arrays to store the DP tables, we store the rows
    of the DP tables using monotone piecewise constant functions. This allows us to
    store length-n DP table rows with entries in [0, W] using only polylog(n, W) bits,
    and to perform operations, such as (min, +)-convolution or rounding, on these
    functions in polylogarithmic time.\r\nWe further present several applications
    of our data structure. For bicriteria versions of k-balanced graph partitioning
    and simultaneous source location, we obtain the first dynamic algorithms with
    subpolynomial update times, as well as the first static algorithms using only
    near-linear time and space. Additionally, we obtain the currently fastest algorithm
    for fully dynamic knapsack."
acknowledgement: "Monika Henzinger: This project has received funding from the European
  Research Council\r\n(ERC) under the European Union’s Horizon 2020 research and innovation
  programme (Grant\r\nagreement No. 101019564 “The Design of Modern Fully Dynamic
  Data Structures (MoDynStruct)” and from the Austrian Science Fund (FWF) project
  “Fast Algorithms for a Reactive Network Layer (ReactNet)”, P 33775-N, with additional
  funding from the netidee SCIENCE Stiftung, 2020–2024.\r\nStefan Neumann: This research
  is supported by the the ERC Advanced Grant REBOUND (834862) and the EC H2020 RIA
  project SoBigData++ (871042).\r\nStefan Schmid: Research supported by Austrian Science
  Fund (FWF) project I 5025-N (DELTA), 2020-2024."
alternative_title:
- LIPIcs
article_number: '36'
article_processing_charge: No
arxiv: 1
author:
- first_name: Monika H
  full_name: Henzinger, Monika H
  id: 540c9bbd-f2de-11ec-812d-d04a5be85630
  last_name: Henzinger
  orcid: 0000-0002-5008-6530
- first_name: Stefan
  full_name: Neumann, Stefan
  last_name: Neumann
- first_name: Harald
  full_name: Räcke, Harald
  last_name: Räcke
- first_name: Stefan
  full_name: Schmid, Stefan
  last_name: Schmid
citation:
  ama: 'Henzinger MH, Neumann S, Räcke H, Schmid S. Dynamic maintenance of monotone
    dynamic programs and applications. In: <i>40th International Symposium on Theoretical
    Aspects of Computer Science</i>. Vol 254. Schloss Dagstuhl - Leibniz-Zentrum für
    Informatik; 2023. doi:<a href="https://doi.org/10.4230/LIPIcs.STACS.2023.36">10.4230/LIPIcs.STACS.2023.36</a>'
  apa: 'Henzinger, M. H., Neumann, S., Räcke, H., &#38; Schmid, S. (2023). Dynamic
    maintenance of monotone dynamic programs and applications. In <i>40th International
    Symposium on Theoretical Aspects of Computer Science</i> (Vol. 254). Hamburg,
    Germany: Schloss Dagstuhl - Leibniz-Zentrum für Informatik. <a href="https://doi.org/10.4230/LIPIcs.STACS.2023.36">https://doi.org/10.4230/LIPIcs.STACS.2023.36</a>'
  chicago: Henzinger, Monika H, Stefan Neumann, Harald Räcke, and Stefan Schmid. “Dynamic
    Maintenance of Monotone Dynamic Programs and Applications.” In <i>40th International
    Symposium on Theoretical Aspects of Computer Science</i>, Vol. 254. Schloss Dagstuhl
    - Leibniz-Zentrum für Informatik, 2023. <a href="https://doi.org/10.4230/LIPIcs.STACS.2023.36">https://doi.org/10.4230/LIPIcs.STACS.2023.36</a>.
  ieee: M. H. Henzinger, S. Neumann, H. Räcke, and S. Schmid, “Dynamic maintenance
    of monotone dynamic programs and applications,” in <i>40th International Symposium
    on Theoretical Aspects of Computer Science</i>, Hamburg, Germany, 2023, vol. 254.
  ista: 'Henzinger MH, Neumann S, Räcke H, Schmid S. 2023. Dynamic maintenance of
    monotone dynamic programs and applications. 40th International Symposium on Theoretical
    Aspects of Computer Science. STACS: Symposium on Theoretical Aspects of Computer
    Science, LIPIcs, vol. 254, 36.'
  mla: Henzinger, Monika H., et al. “Dynamic Maintenance of Monotone Dynamic Programs
    and Applications.” <i>40th International Symposium on Theoretical Aspects of Computer
    Science</i>, vol. 254, 36, Schloss Dagstuhl - Leibniz-Zentrum für Informatik,
    2023, doi:<a href="https://doi.org/10.4230/LIPIcs.STACS.2023.36">10.4230/LIPIcs.STACS.2023.36</a>.
  short: M.H. Henzinger, S. Neumann, H. Räcke, S. Schmid, in:, 40th International
    Symposium on Theoretical Aspects of Computer Science, Schloss Dagstuhl - Leibniz-Zentrum
    für Informatik, 2023.
conference:
  end_date: 2023-03-09
  location: Hamburg, Germany
  name: 'STACS: Symposium on Theoretical Aspects of Computer Science'
  start_date: 2023-03-07
date_created: 2023-03-26T22:01:07Z
date_published: 2023-03-01T00:00:00Z
date_updated: 2023-03-27T06:46:27Z
day: '01'
ddc:
- '000'
department:
- _id: MoHe
doi: 10.4230/LIPIcs.STACS.2023.36
external_id:
  arxiv:
  - '2301.01744'
file:
- access_level: open_access
  checksum: 22141ab8bc55188e2dfff665e5daecbd
  content_type: application/pdf
  creator: dernst
  date_created: 2023-03-27T06:37:22Z
  date_updated: 2023-03-27T06:37:22Z
  file_id: '12769'
  file_name: 2023_LIPICS_HenzingerM.pdf
  file_size: 872706
  relation: main_file
  success: 1
file_date_updated: 2023-03-27T06:37:22Z
has_accepted_license: '1'
intvolume: '       254'
language:
- iso: eng
month: '03'
oa: 1
oa_version: Published Version
publication: 40th International Symposium on Theoretical Aspects of Computer Science
publication_identifier:
  isbn:
  - '9783959772662'
  issn:
  - 1868-8969
publication_status: published
publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik
quality_controlled: '1'
scopus_import: '1'
status: public
title: Dynamic maintenance of monotone dynamic programs and applications
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 254
year: '2023'
...
---
_id: '11183'
abstract:
- lang: eng
  text: "Subgraph detection has recently been one of the most studied problems in
    the CONGEST model of distributed computing. In this work, we study the distributed
    complexity of problems closely related to subgraph detection, mainly focusing
    on induced subgraph detection. The main line of this work presents lower bounds
    and parameterized algorithms w.r.t structural parameters of the input graph:\r\n-
    On general graphs, we give unconditional lower bounds for induced detection of
    cycles and patterns of treewidth 2 in CONGEST. Moreover, by adapting reductions
    from centralized parameterized complexity, we prove lower bounds in CONGEST for
    detecting patterns with a 4-clique, and for induced path detection conditional
    on the hardness of triangle detection in the congested clique.\r\n- On graphs
    of bounded degeneracy, we show that induced paths can be detected fast in CONGEST
    using techniques from parameterized algorithms, while detecting cycles and patterns
    of treewidth 2 is hard.\r\n- On graphs of bounded vertex cover number, we show
    that induced subgraph detection is easy in CONGEST for any pattern graph. More
    specifically, we adapt a centralized parameterized algorithm for a more general
    maximum common induced subgraph detection problem to the distributed setting.
    In addition to these induced subgraph detection results, we study various related
    problems in the CONGEST and congested clique models, including for multicolored
    versions of subgraph-detection-like problems."
acknowledgement: "Amir Nikabadi: Supported by the LABEX MILYON (ANR-10-LABX-0070)
  of Université de Lyon, within the program “Investissements d’Avenir” (ANR-11-IDEX-0007)
  operated by the French National Research Agency (ANR). Janne H. Korhonen: Supported
  by the European Research Council (ERC) under the European Union’s Horizon 2020 research
  and innovation programme (grant agreement No 805223 ScaleML).\r\nWe thank François
  Le Gall and Masayuki Miyamoto for sharing their work on lower bounds for induced
  subgraph detection [36]."
alternative_title:
- LIPIcs
article_number: '15'
article_processing_charge: No
author:
- first_name: Amir
  full_name: Nikabadi, Amir
  last_name: Nikabadi
- first_name: Janne
  full_name: Korhonen, Janne
  id: C5402D42-15BC-11E9-A202-CA2BE6697425
  last_name: Korhonen
citation:
  ama: 'Nikabadi A, Korhonen J. Beyond distributed subgraph detection: Induced subgraphs,
    multicolored problems and graph parameters. In: Bramas Q, Gramoli V, Milani A,
    eds. <i>25th International Conference on Principles of Distributed Systems</i>.
    Vol 217. Schloss Dagstuhl - Leibniz-Zentrum für Informatik; 2022. doi:<a href="https://doi.org/10.4230/LIPIcs.OPODIS.2021.15">10.4230/LIPIcs.OPODIS.2021.15</a>'
  apa: 'Nikabadi, A., &#38; Korhonen, J. (2022). Beyond distributed subgraph detection:
    Induced subgraphs, multicolored problems and graph parameters. In Q. Bramas, V.
    Gramoli, &#38; A. Milani (Eds.), <i>25th International Conference on Principles
    of Distributed Systems</i> (Vol. 217). Strasbourg, France: Schloss Dagstuhl -
    Leibniz-Zentrum für Informatik. <a href="https://doi.org/10.4230/LIPIcs.OPODIS.2021.15">https://doi.org/10.4230/LIPIcs.OPODIS.2021.15</a>'
  chicago: 'Nikabadi, Amir, and Janne Korhonen. “Beyond Distributed Subgraph Detection:
    Induced Subgraphs, Multicolored Problems and Graph Parameters.” In <i>25th International
    Conference on Principles of Distributed Systems</i>, edited by Quentin Bramas,
    Vincent Gramoli, and Alessia Milani, Vol. 217. Schloss Dagstuhl - Leibniz-Zentrum
    für Informatik, 2022. <a href="https://doi.org/10.4230/LIPIcs.OPODIS.2021.15">https://doi.org/10.4230/LIPIcs.OPODIS.2021.15</a>.'
  ieee: 'A. Nikabadi and J. Korhonen, “Beyond distributed subgraph detection: Induced
    subgraphs, multicolored problems and graph parameters,” in <i>25th International
    Conference on Principles of Distributed Systems</i>, Strasbourg, France, 2022,
    vol. 217.'
  ista: 'Nikabadi A, Korhonen J. 2022. Beyond distributed subgraph detection: Induced
    subgraphs, multicolored problems and graph parameters. 25th International Conference
    on Principles of Distributed Systems. OPODIS, LIPIcs, vol. 217, 15.'
  mla: 'Nikabadi, Amir, and Janne Korhonen. “Beyond Distributed Subgraph Detection:
    Induced Subgraphs, Multicolored Problems and Graph Parameters.” <i>25th International
    Conference on Principles of Distributed Systems</i>, edited by Quentin Bramas
    et al., vol. 217, 15, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2022,
    doi:<a href="https://doi.org/10.4230/LIPIcs.OPODIS.2021.15">10.4230/LIPIcs.OPODIS.2021.15</a>.'
  short: A. Nikabadi, J. Korhonen, in:, Q. Bramas, V. Gramoli, A. Milani (Eds.), 25th
    International Conference on Principles of Distributed Systems, Schloss Dagstuhl
    - Leibniz-Zentrum für Informatik, 2022.
conference:
  end_date: 2021-12-15
  location: Strasbourg, France
  name: OPODIS
  start_date: 2021-12-13
date_created: 2022-04-17T22:01:47Z
date_published: 2022-02-01T00:00:00Z
date_updated: 2022-05-02T07:56:35Z
day: '01'
ddc:
- '510'
department:
- _id: DaAl
doi: 10.4230/LIPIcs.OPODIS.2021.15
ec_funded: 1
editor:
- first_name: Quentin
  full_name: Bramas, Quentin
  last_name: Bramas
- first_name: Vincent
  full_name: Gramoli, Vincent
  last_name: Gramoli
- first_name: Alessia
  full_name: Milani, Alessia
  last_name: Milani
file:
- access_level: open_access
  checksum: 626551c14de5d4091573200ed0535752
  content_type: application/pdf
  creator: dernst
  date_created: 2022-05-02T07:53:00Z
  date_updated: 2022-05-02T07:53:00Z
  file_id: '11345'
  file_name: 2022_LIPICs_Nikabadi.pdf
  file_size: 790396
  relation: main_file
  success: 1
file_date_updated: 2022-05-02T07:53:00Z
has_accepted_license: '1'
intvolume: '       217'
language:
- iso: eng
month: '02'
oa: 1
oa_version: Published Version
project:
- _id: 268A44D6-B435-11E9-9278-68D0E5697425
  call_identifier: H2020
  grant_number: '805223'
  name: Elastic Coordination for Scalable Machine Learning
publication: 25th International Conference on Principles of Distributed Systems
publication_identifier:
  isbn:
  - '9783959772198'
  issn:
  - 1868-8969
publication_status: published
publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik
quality_controlled: '1'
scopus_import: '1'
status: public
title: 'Beyond distributed subgraph detection: Induced subgraphs, multicolored problems
  and graph parameters'
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 217
year: '2022'
...
---
_id: '11184'
abstract:
- lang: eng
  text: "Let G be a graph on n nodes. In the stochastic population protocol model,
    a collection of n indistinguishable, resource-limited nodes collectively solve
    tasks via pairwise interactions. In each interaction, two randomly chosen neighbors
    first read each other’s states, and then update their local states. A rich line
    of research has established tight upper and lower bounds on the complexity of
    fundamental tasks, such as majority and leader election, in this model, when G
    is a clique. Specifically, in the clique, these tasks can be solved fast, i.e.,
    in n polylog n pairwise interactions, with high probability, using at most polylog
    n states per node.\r\nIn this work, we consider the more general setting where
    G is an arbitrary regular graph, and present a technique for simulating protocols
    designed for fully-connected networks in any connected regular graph. Our main
    result is a simulation that is efficient on many interesting graph families: roughly,
    the simulation overhead is polylogarithmic in the number of nodes, and quadratic
    in the conductance of the graph. As a sample application, we show that, in any
    regular graph with conductance φ, both leader election and exact majority can
    be solved in φ^{-2} ⋅ n polylog n pairwise interactions, with high probability,
    using at most φ^{-2} ⋅ polylog n states per node. This shows that there are fast
    and space-efficient population protocols for leader election and exact majority
    on graphs with good expansion properties. We believe our results will prove generally
    useful, as they allow efficient technology transfer between the well-mixed (clique)
    case, and the under-explored spatial setting."
acknowledgement: "Dan Alistarh: This project has received funding from the European
  Research Council (ERC)\r\nunder the European Union’s Horizon 2020 research and innovation
  programme (grant agreement No.805223 ScaleML).\r\nJoel Rybicki: This project has
  received from the European Union’s Horizon 2020 research and\r\ninnovation programme
  under the Marie Skłodowska-Curie grant agreement No. 840605.\r\nAcknowledgements
  We grateful to Giorgi Nadiradze for pointing out a generalisation of the phase clock
  construction to non-regular graphs. We also thank anonymous reviewers for their
  useful comments on earlier versions of this manuscript."
alternative_title:
- LIPIcs
article_number: '14'
article_processing_charge: No
arxiv: 1
author:
- first_name: Dan-Adrian
  full_name: Alistarh, Dan-Adrian
  id: 4A899BFC-F248-11E8-B48F-1D18A9856A87
  last_name: Alistarh
  orcid: 0000-0003-3650-940X
- first_name: Rati
  full_name: Gelashvili, Rati
  last_name: Gelashvili
- first_name: Joel
  full_name: Rybicki, Joel
  id: 334EFD2E-F248-11E8-B48F-1D18A9856A87
  last_name: Rybicki
  orcid: 0000-0002-6432-6646
citation:
  ama: 'Alistarh D-A, Gelashvili R, Rybicki J. Fast graphical population protocols.
    In: Bramas Q, Gramoli V, Milani A, eds. <i>25th International Conference on Principles
    of Distributed Systems</i>. Vol 217. Schloss Dagstuhl - Leibniz-Zentrum für Informatik;
    2022. doi:<a href="https://doi.org/10.4230/LIPIcs.OPODIS.2021.14">10.4230/LIPIcs.OPODIS.2021.14</a>'
  apa: 'Alistarh, D.-A., Gelashvili, R., &#38; Rybicki, J. (2022). Fast graphical
    population protocols. In Q. Bramas, V. Gramoli, &#38; A. Milani (Eds.), <i>25th
    International Conference on Principles of Distributed Systems</i> (Vol. 217).
    Strasbourg, France: Schloss Dagstuhl - Leibniz-Zentrum für Informatik. <a href="https://doi.org/10.4230/LIPIcs.OPODIS.2021.14">https://doi.org/10.4230/LIPIcs.OPODIS.2021.14</a>'
  chicago: Alistarh, Dan-Adrian, Rati Gelashvili, and Joel Rybicki. “Fast Graphical
    Population Protocols.” In <i>25th International Conference on Principles of Distributed
    Systems</i>, edited by Quentin Bramas, Vincent Gramoli, and Alessia Milani, Vol.
    217. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2022. <a href="https://doi.org/10.4230/LIPIcs.OPODIS.2021.14">https://doi.org/10.4230/LIPIcs.OPODIS.2021.14</a>.
  ieee: D.-A. Alistarh, R. Gelashvili, and J. Rybicki, “Fast graphical population
    protocols,” in <i>25th International Conference on Principles of Distributed Systems</i>,
    Strasbourg, France, 2022, vol. 217.
  ista: Alistarh D-A, Gelashvili R, Rybicki J. 2022. Fast graphical population protocols.
    25th International Conference on Principles of Distributed Systems. OPODIS, LIPIcs,
    vol. 217, 14.
  mla: Alistarh, Dan-Adrian, et al. “Fast Graphical Population Protocols.” <i>25th
    International Conference on Principles of Distributed Systems</i>, edited by Quentin
    Bramas et al., vol. 217, 14, Schloss Dagstuhl - Leibniz-Zentrum für Informatik,
    2022, doi:<a href="https://doi.org/10.4230/LIPIcs.OPODIS.2021.14">10.4230/LIPIcs.OPODIS.2021.14</a>.
  short: D.-A. Alistarh, R. Gelashvili, J. Rybicki, in:, Q. Bramas, V. Gramoli, A.
    Milani (Eds.), 25th International Conference on Principles of Distributed Systems,
    Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2022.
conference:
  end_date: 2021-12-15
  location: Strasbourg, France
  name: OPODIS
  start_date: 2021-12-13
date_created: 2022-04-17T22:01:47Z
date_published: 2022-02-01T00:00:00Z
date_updated: 2022-05-02T08:09:39Z
day: '01'
ddc:
- '510'
department:
- _id: DaAl
doi: 10.4230/LIPIcs.OPODIS.2021.14
ec_funded: 1
editor:
- first_name: Quentin
  full_name: Bramas, Quentin
  last_name: Bramas
- first_name: Vincent
  full_name: Gramoli, Vincent
  last_name: Gramoli
- first_name: Alessia
  full_name: Milani, Alessia
  last_name: Milani
external_id:
  arxiv:
  - '2102.08808'
file:
- access_level: open_access
  checksum: 2c7c982174c6f98c4ca6e92539d15086
  content_type: application/pdf
  creator: dernst
  date_created: 2022-05-02T08:06:33Z
  date_updated: 2022-05-02T08:06:33Z
  file_id: '11346'
  file_name: 2022_LIPICs_Alistarh.pdf
  file_size: 959406
  relation: main_file
  success: 1
file_date_updated: 2022-05-02T08:06:33Z
has_accepted_license: '1'
intvolume: '       217'
language:
- iso: eng
month: '02'
oa: 1
oa_version: Published Version
project:
- _id: 268A44D6-B435-11E9-9278-68D0E5697425
  call_identifier: H2020
  grant_number: '805223'
  name: Elastic Coordination for Scalable Machine Learning
- _id: 26A5D39A-B435-11E9-9278-68D0E5697425
  call_identifier: H2020
  grant_number: '840605'
  name: Coordination in constrained and natural distributed systems
publication: 25th International Conference on Principles of Distributed Systems
publication_identifier:
  isbn:
  - '9783959772198'
  issn:
  - 1868-8969
publication_status: published
publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik
quality_controlled: '1'
scopus_import: '1'
status: public
title: Fast graphical population protocols
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 217
year: '2022'
...
---
_id: '11428'
abstract:
- lang: eng
  text: The medial axis of a set consists of the points in the ambient space without
    a unique closest point on the original set. Since its introduction, the medial
    axis has been used extensively in many applications as a method of computing a
    topologically equivalent skeleton. Unfortunately, one limiting factor in the use
    of the medial axis of a smooth manifold is that it is not necessarily topologically
    stable under small perturbations of the manifold. To counter these instabilities
    various prunings of the medial axis have been proposed. Here, we examine one type
    of pruning, called burning. Because of the good experimental results, it was hoped
    that the burning method of simplifying the medial axis would be stable. In this
    work we show a simple example that dashes such hopes based on Bing’s house with
    two rooms, demonstrating an isotopy of a shape where the medial axis goes from
    collapsible to non-collapsible.
acknowledgement: 'Partially supported by the DFG Collaborative Research Center TRR
  109, “Discretization in Geometry and Dynamics” and the European Research Council
  (ERC), grant no. 788183, “Alpha Shape Theory Extended”. Erin Chambers: Supported
  in part by the National Science Foundation through grants DBI-1759807, CCF-1907612,
  and CCF-2106672. Mathijs Wintraecken: Supported by the European Union’s Horizon
  2020 research and innovation programme under the Marie Skłodowska-Curie grant agreement
  No. 754411. The Austrian science fund (FWF) M-3073 Acknowledgements We thank André
  Lieutier, David Letscher, Ellen Gasparovic, Kathryn Leonard, and Tao Ju for early
  discussions on this work. We also thank Lu Liu, Yajie Yan and Tao Ju for sharing
  code to generate the examples.'
article_processing_charge: No
author:
- first_name: Erin
  full_name: Chambers, Erin
  last_name: Chambers
- first_name: Christopher D
  full_name: Fillmore, Christopher D
  id: 35638A5C-AAC7-11E9-B0BF-5503E6697425
  last_name: Fillmore
- first_name: Elizabeth R
  full_name: Stephenson, Elizabeth R
  id: 2D04F932-F248-11E8-B48F-1D18A9856A87
  last_name: Stephenson
  orcid: 0000-0002-6862-208X
- first_name: Mathijs
  full_name: Wintraecken, Mathijs
  id: 307CFBC8-F248-11E8-B48F-1D18A9856A87
  last_name: Wintraecken
  orcid: 0000-0002-7472-2220
citation:
  ama: 'Chambers E, Fillmore CD, Stephenson ER, Wintraecken M. A cautionary tale:
    Burning the medial axis is unstable. In: Goaoc X, Kerber M, eds. <i>38th International
    Symposium on Computational Geometry</i>. Vol 224. LIPIcs. Schloss Dagstuhl - Leibniz-Zentrum
    für Informatik; 2022:66:1-66:9. doi:<a href="https://doi.org/10.4230/LIPIcs.SoCG.2022.66">10.4230/LIPIcs.SoCG.2022.66</a>'
  apa: 'Chambers, E., Fillmore, C. D., Stephenson, E. R., &#38; Wintraecken, M. (2022).
    A cautionary tale: Burning the medial axis is unstable. In X. Goaoc &#38; M. Kerber
    (Eds.), <i>38th International Symposium on Computational Geometry</i> (Vol. 224,
    p. 66:1-66:9). Berlin, Germany: Schloss Dagstuhl - Leibniz-Zentrum für Informatik.
    <a href="https://doi.org/10.4230/LIPIcs.SoCG.2022.66">https://doi.org/10.4230/LIPIcs.SoCG.2022.66</a>'
  chicago: 'Chambers, Erin, Christopher D Fillmore, Elizabeth R Stephenson, and Mathijs
    Wintraecken. “A Cautionary Tale: Burning the Medial Axis Is Unstable.” In <i>38th
    International Symposium on Computational Geometry</i>, edited by Xavier Goaoc
    and Michael Kerber, 224:66:1-66:9. LIPIcs. Schloss Dagstuhl - Leibniz-Zentrum
    für Informatik, 2022. <a href="https://doi.org/10.4230/LIPIcs.SoCG.2022.66">https://doi.org/10.4230/LIPIcs.SoCG.2022.66</a>.'
  ieee: 'E. Chambers, C. D. Fillmore, E. R. Stephenson, and M. Wintraecken, “A cautionary
    tale: Burning the medial axis is unstable,” in <i>38th International Symposium
    on Computational Geometry</i>, Berlin, Germany, 2022, vol. 224, p. 66:1-66:9.'
  ista: 'Chambers E, Fillmore CD, Stephenson ER, Wintraecken M. 2022. A cautionary
    tale: Burning the medial axis is unstable. 38th International Symposium on Computational
    Geometry. SoCG: Symposium on Computational GeometryLIPIcs vol. 224, 66:1-66:9.'
  mla: 'Chambers, Erin, et al. “A Cautionary Tale: Burning the Medial Axis Is Unstable.”
    <i>38th International Symposium on Computational Geometry</i>, edited by Xavier
    Goaoc and Michael Kerber, vol. 224, Schloss Dagstuhl - Leibniz-Zentrum für Informatik,
    2022, p. 66:1-66:9, doi:<a href="https://doi.org/10.4230/LIPIcs.SoCG.2022.66">10.4230/LIPIcs.SoCG.2022.66</a>.'
  short: E. Chambers, C.D. Fillmore, E.R. Stephenson, M. Wintraecken, in:, X. Goaoc,
    M. Kerber (Eds.), 38th International Symposium on Computational Geometry, Schloss
    Dagstuhl - Leibniz-Zentrum für Informatik, 2022, p. 66:1-66:9.
conference:
  end_date: 2022-06-10
  location: Berlin, Germany
  name: 'SoCG: Symposium on Computational Geometry'
  start_date: 2022-06-07
date_created: 2022-06-01T14:18:04Z
date_published: 2022-06-01T00:00:00Z
date_updated: 2023-02-21T09:50:52Z
day: '01'
ddc:
- '510'
department:
- _id: HeEd
doi: 10.4230/LIPIcs.SoCG.2022.66
ec_funded: 1
editor:
- first_name: Xavier
  full_name: Goaoc, Xavier
  last_name: Goaoc
- first_name: Michael
  full_name: Kerber, Michael
  last_name: Kerber
file:
- access_level: open_access
  checksum: b25ce40fade4ebc0bcaae176db4f5f1f
  content_type: application/pdf
  creator: dernst
  date_created: 2022-06-07T07:58:30Z
  date_updated: 2022-06-07T07:58:30Z
  file_id: '11437'
  file_name: 2022_LIPICs_Chambers.pdf
  file_size: 17580705
  relation: main_file
  success: 1
file_date_updated: 2022-06-07T07:58:30Z
has_accepted_license: '1'
intvolume: '       224'
language:
- iso: eng
month: '06'
oa: 1
oa_version: Published Version
page: 66:1-66:9
project:
- _id: fc390959-9c52-11eb-aca3-afa58bd282b2
  grant_number: M03073
  name: Learning and triangulating manifolds via collapses
- _id: 266A2E9E-B435-11E9-9278-68D0E5697425
  call_identifier: H2020
  grant_number: '788183'
  name: Alpha Shape Theory Extended
- _id: 260C2330-B435-11E9-9278-68D0E5697425
  call_identifier: H2020
  grant_number: '754411'
  name: ISTplus - Postdoctoral Fellowships
publication: 38th International Symposium on Computational Geometry
publication_identifier:
  isbn:
  - 978-3-95977-227-3
  issn:
  - 1868-8969
publication_status: published
publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik
quality_controlled: '1'
scopus_import: '1'
series_title: LIPIcs
status: public
title: 'A cautionary tale: Burning the medial axis is unstable'
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: conference
user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87
volume: 224
year: '2022'
...
---
_id: '11812'
abstract:
- lang: eng
  text: "This paper presents a comprehensive study of algorithms for maintaining the
    number of all connected four-vertex subgraphs in a dynamic graph. Specifically,
    our algorithms maintain the number of paths of length three in deterministic amortized
    O(m^{1/2}) update time, and any other connected four-vertex subgraph which is
    not a clique in deterministic amortized update time O(m^{2/3}). Queries can be
    answered in constant time. We also study the query times for subgraphs containing
    an arbitrary edge that is supplied only with the query as well as the case where
    only subgraphs containing a vertex s that is fixed beforehand are considered.
    For length-3 paths, paws, 4-cycles, and diamonds our bounds match or are not far
    from (conditional) lower bounds: Based on the OMv conjecture we show that any
    dynamic algorithm that detects the existence of paws, diamonds, or 4-cycles or
    that counts length-3 paths takes update time Ω(m^{1/2-δ}).\r\nAdditionally, for
    4-cliques and all connected induced subgraphs, we show a lower bound of Ω(m^{1-δ})
    for any small constant δ > 0 for the amortized update time, assuming the static
    combinatorial 4-clique conjecture holds. This shows that the O(m) algorithm by
    Eppstein et al. [David Eppstein et al., 2012] for these subgraphs cannot be improved
    by a polynomial factor."
alternative_title:
- LIPIcs
article_number: '18'
article_processing_charge: No
arxiv: 1
author:
- first_name: Kathrin
  full_name: Hanauer, Kathrin
  last_name: Hanauer
- first_name: Monika H
  full_name: Henzinger, Monika H
  id: 540c9bbd-f2de-11ec-812d-d04a5be85630
  last_name: Henzinger
  orcid: 0000-0002-5008-6530
- first_name: Qi Cheng
  full_name: Hua, Qi Cheng
  last_name: Hua
citation:
  ama: 'Hanauer K, Henzinger MH, Hua QC. Fully dynamic four-vertex subgraph counting.
    In: <i>1st Symposium on Algorithmic Foundations of Dynamic Networks</i>. Vol 221.
    Schloss Dagstuhl - Leibniz-Zentrum für Informatik; 2022. doi:<a href="https://doi.org/10.4230/LIPIcs.SAND.2022.18">10.4230/LIPIcs.SAND.2022.18</a>'
  apa: 'Hanauer, K., Henzinger, M. H., &#38; Hua, Q. C. (2022). Fully dynamic four-vertex
    subgraph counting. In <i>1st Symposium on Algorithmic Foundations of Dynamic Networks</i>
    (Vol. 221). Virtual: Schloss Dagstuhl - Leibniz-Zentrum für Informatik. <a href="https://doi.org/10.4230/LIPIcs.SAND.2022.18">https://doi.org/10.4230/LIPIcs.SAND.2022.18</a>'
  chicago: Hanauer, Kathrin, Monika H Henzinger, and Qi Cheng Hua. “Fully Dynamic
    Four-Vertex Subgraph Counting.” In <i>1st Symposium on Algorithmic Foundations
    of Dynamic Networks</i>, Vol. 221. Schloss Dagstuhl - Leibniz-Zentrum für Informatik,
    2022. <a href="https://doi.org/10.4230/LIPIcs.SAND.2022.18">https://doi.org/10.4230/LIPIcs.SAND.2022.18</a>.
  ieee: K. Hanauer, M. H. Henzinger, and Q. C. Hua, “Fully dynamic four-vertex subgraph
    counting,” in <i>1st Symposium on Algorithmic Foundations of Dynamic Networks</i>,
    Virtual, 2022, vol. 221.
  ista: 'Hanauer K, Henzinger MH, Hua QC. 2022. Fully dynamic four-vertex subgraph
    counting. 1st Symposium on Algorithmic Foundations of Dynamic Networks. SAND:
    Symposium on Algorithmic Foundations of Dynamic Networks, LIPIcs, vol. 221, 18.'
  mla: Hanauer, Kathrin, et al. “Fully Dynamic Four-Vertex Subgraph Counting.” <i>1st
    Symposium on Algorithmic Foundations of Dynamic Networks</i>, vol. 221, 18, Schloss
    Dagstuhl - Leibniz-Zentrum für Informatik, 2022, doi:<a href="https://doi.org/10.4230/LIPIcs.SAND.2022.18">10.4230/LIPIcs.SAND.2022.18</a>.
  short: K. Hanauer, M.H. Henzinger, Q.C. Hua, in:, 1st Symposium on Algorithmic Foundations
    of Dynamic Networks, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2022.
conference:
  end_date: 2022-04-30
  location: Virtual
  name: 'SAND: Symposium on Algorithmic Foundations of Dynamic Networks'
  start_date: 2022-04-28
date_created: 2022-08-12T06:57:55Z
date_published: 2022-04-29T00:00:00Z
date_updated: 2023-02-14T08:25:42Z
day: '29'
doi: 10.4230/LIPIcs.SAND.2022.18
extern: '1'
external_id:
  arxiv:
  - '2106.15524'
intvolume: '       221'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.4230/LIPIcs.SAND.2022.18
month: '04'
oa: 1
oa_version: Published Version
publication: 1st Symposium on Algorithmic Foundations of Dynamic Networks
publication_identifier:
  isbn:
  - '9783959772242'
  issn:
  - 1868-8969
publication_status: published
publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik
quality_controlled: '1'
scopus_import: '1'
status: public
title: Fully dynamic four-vertex subgraph counting
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 221
year: '2022'
...
---
_id: '12101'
abstract:
- lang: eng
  text: 'Spatial games form a widely-studied class of games from biology and physics
    modeling the evolution of social behavior. Formally, such a game is defined by
    a square (d by d) payoff matrix M and an undirected graph G. Each vertex of G
    represents an individual, that initially follows some strategy i ∈ {1,2,…,d}.
    In each round of the game, every individual plays the matrix game with each of
    its neighbors: An individual following strategy i meeting a neighbor following
    strategy j receives a payoff equal to the entry (i,j) of M. Then, each individual
    updates its strategy to its neighbors'' strategy with the highest sum of payoffs,
    and the next round starts. The basic computational problems consist of reachability
    between configurations and the average frequency of a strategy. For general spatial
    games and graphs, these problems are in PSPACE. In this paper, we examine restricted
    setting: the game is a prisoner’s dilemma; and G is a subgraph of grid. We prove
    that basic computational problems for spatial games with prisoner’s dilemma on
    a subgraph of a grid are PSPACE-hard.'
acknowledgement: "Krishnendu Chatterjee: The research was partially supported by the
  ERC CoG 863818\r\n(ForM-SMArt).\r\nIsmaël Jecker: The research was partially supported
  by the ERC grant 950398 (INFSYS).\r\nJakub Svoboda: The research was partially supported
  by the ERC CoG 863818 (ForM-SMArt)"
article_number: 11:1-11:14
article_processing_charge: No
author:
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
- first_name: Rasmus
  full_name: Ibsen-Jensen, Rasmus
  id: 3B699956-F248-11E8-B48F-1D18A9856A87
  last_name: Ibsen-Jensen
  orcid: 0000-0003-4783-0389
- first_name: Ismael R
  full_name: Jecker, Ismael R
  id: 85D7C63E-7D5D-11E9-9C0F-98C4E5697425
  last_name: Jecker
- first_name: Jakub
  full_name: Svoboda, Jakub
  id: 130759D2-D7DD-11E9-87D2-DE0DE6697425
  last_name: Svoboda
  orcid: 0000-0002-1419-3267
citation:
  ama: 'Chatterjee K, Ibsen-Jensen R, Jecker IR, Svoboda J. Complexity of spatial
    games. In: <i>42nd IARCS Annual Conference on Foundations of Software Technology
    and Theoretical Computer Science</i>. Vol 250. Schloss Dagstuhl - Leibniz-Zentrum
    für Informatik; 2022. doi:<a href="https://doi.org/10.4230/LIPIcs.FSTTCS.2022.11">10.4230/LIPIcs.FSTTCS.2022.11</a>'
  apa: 'Chatterjee, K., Ibsen-Jensen, R., Jecker, I. R., &#38; Svoboda, J. (2022).
    Complexity of spatial games. In <i>42nd IARCS Annual Conference on Foundations
    of Software Technology and Theoretical Computer Science</i> (Vol. 250). Madras,
    India: Schloss Dagstuhl - Leibniz-Zentrum für Informatik. <a href="https://doi.org/10.4230/LIPIcs.FSTTCS.2022.11">https://doi.org/10.4230/LIPIcs.FSTTCS.2022.11</a>'
  chicago: Chatterjee, Krishnendu, Rasmus Ibsen-Jensen, Ismael R Jecker, and Jakub
    Svoboda. “Complexity of Spatial Games.” In <i>42nd IARCS Annual Conference on
    Foundations of Software Technology and Theoretical Computer Science</i>, Vol.
    250. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2022. <a href="https://doi.org/10.4230/LIPIcs.FSTTCS.2022.11">https://doi.org/10.4230/LIPIcs.FSTTCS.2022.11</a>.
  ieee: K. Chatterjee, R. Ibsen-Jensen, I. R. Jecker, and J. Svoboda, “Complexity
    of spatial games,” in <i>42nd IARCS Annual Conference on Foundations of Software
    Technology and Theoretical Computer Science</i>, Madras, India, 2022, vol. 250.
  ista: 'Chatterjee K, Ibsen-Jensen R, Jecker IR, Svoboda J. 2022. Complexity of spatial
    games. 42nd IARCS Annual Conference on Foundations of Software Technology and
    Theoretical Computer Science. FSTTC: Foundations of Software Technology and Theoretical
    Computer Science vol. 250, 11:1-11:14.'
  mla: Chatterjee, Krishnendu, et al. “Complexity of Spatial Games.” <i>42nd IARCS
    Annual Conference on Foundations of Software Technology and Theoretical Computer
    Science</i>, vol. 250, 11:1-11:14, Schloss Dagstuhl - Leibniz-Zentrum für Informatik,
    2022, doi:<a href="https://doi.org/10.4230/LIPIcs.FSTTCS.2022.11">10.4230/LIPIcs.FSTTCS.2022.11</a>.
  short: K. Chatterjee, R. Ibsen-Jensen, I.R. Jecker, J. Svoboda, in:, 42nd IARCS
    Annual Conference on Foundations of Software Technology and Theoretical Computer
    Science, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2022.
conference:
  end_date: 2022-12-20
  location: Madras, India
  name: 'FSTTC: Foundations of Software Technology and Theoretical Computer Science'
  start_date: 2022-12-18
date_created: 2023-01-01T23:00:50Z
date_published: 2022-12-14T00:00:00Z
date_updated: 2025-07-14T09:09:55Z
day: '14'
ddc:
- '000'
department:
- _id: KrCh
doi: 10.4230/LIPIcs.FSTTCS.2022.11
ec_funded: 1
file:
- access_level: open_access
  checksum: a21e3ba2421e2c4a06aa2cb6d530ede1
  content_type: application/pdf
  creator: dernst
  date_created: 2023-01-20T10:19:19Z
  date_updated: 2023-01-20T10:19:19Z
  file_id: '12323'
  file_name: 2022_LIPICs_Chatterjee.pdf
  file_size: 657396
  relation: main_file
  success: 1
file_date_updated: 2023-01-20T10:19:19Z
has_accepted_license: '1'
intvolume: '       250'
language:
- iso: eng
month: '12'
oa: 1
oa_version: Published Version
project:
- _id: 0599E47C-7A3F-11EA-A408-12923DDC885E
  call_identifier: H2020
  grant_number: '863818'
  name: 'Formal Methods for Stochastic Models: Algorithms and Applications'
publication: 42nd IARCS Annual Conference on Foundations of Software Technology and
  Theoretical Computer Science
publication_identifier:
  isbn:
  - '9783959772617'
  issn:
  - 1868-8969
publication_status: published
publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik
quality_controlled: '1'
scopus_import: '1'
status: public
title: Complexity of spatial games
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 250
year: '2022'
...
---
_id: '12102'
abstract:
- lang: eng
  text: 'Given a Markov chain M = (V, v_0, δ), with state space V and a starting state
    v_0, and a probability threshold ε, an ε-core is a subset C of states that is
    left with probability at most ε. More formally, C ⊆ V is an ε-core, iff ℙ[reach
    (V\C)] ≤ ε. Cores have been applied in a wide variety of verification problems
    over Markov chains, Markov decision processes, and probabilistic programs, as
    a means of discarding uninteresting and low-probability parts of a probabilistic
    system and instead being able to focus on the states that are likely to be encountered
    in a real-world run. In this work, we focus on the problem of computing a minimal
    ε-core in a Markov chain. Our contributions include both negative and positive
    results: (i) We show that the decision problem on the existence of an ε-core of
    a given size is NP-complete. This solves an open problem posed in [Jan Kretínský
    and Tobias Meggendorfer, 2020]. We additionally show that the problem remains
    NP-complete even when limited to acyclic Markov chains with bounded maximal vertex
    degree; (ii) We provide a polynomial time algorithm for computing a minimal ε-core
    on Markov chains over control-flow graphs of structured programs. A straightforward
    combination of our algorithm with standard branch prediction techniques allows
    one to apply the idea of cores to find a subset of program lines that are left
    with low probability and then focus any desired static analysis on this core subset.'
acknowledgement: "The research was partially supported by the Hong Kong Research Grants
  Council ECS\r\nProject No. 26208122, ERC CoG 863818 (FoRM-SMArt), the European Union’s
  Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie
  Grant Agreement No. 665385, HKUST– Kaisa Joint Research Institute Project Grant
  HKJRI3A-055 and HKUST Startup Grant R9272. Ali Ahmadi and Roodabeh Safavi were interns
  at HKUST."
article_number: '29'
article_processing_charge: No
author:
- first_name: Ali
  full_name: Ahmadi, Ali
  last_name: Ahmadi
- first_name: Krishnendu
  full_name: Chatterjee, Krishnendu
  id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
  last_name: Chatterjee
  orcid: 0000-0002-4561-241X
- first_name: Amir Kafshdar
  full_name: Goharshady, Amir Kafshdar
  id: 391365CE-F248-11E8-B48F-1D18A9856A87
  last_name: Goharshady
  orcid: 0000-0003-1702-6584
- first_name: Tobias
  full_name: Meggendorfer, Tobias
  id: b21b0c15-30a2-11eb-80dc-f13ca25802e1
  last_name: Meggendorfer
  orcid: 0000-0002-1712-2165
- first_name: Roodabeh
  full_name: Safavi Hemami, Roodabeh
  id: 72ed2640-8972-11ed-ae7b-f9c81ec75154
  last_name: Safavi Hemami
- first_name: Dorde
  full_name: Zikelic, Dorde
  id: 294AA7A6-F248-11E8-B48F-1D18A9856A87
  last_name: Zikelic
  orcid: 0000-0002-4681-1699
citation:
  ama: 'Ahmadi A, Chatterjee K, Goharshady AK, Meggendorfer T, Safavi Hemami R, Zikelic
    D. Algorithms and hardness results for computing cores of Markov chains. In: <i>42nd
    IARCS Annual Conference on Foundations of Software Technology and Theoretical
    Computer Science</i>. Vol 250. Schloss Dagstuhl - Leibniz-Zentrum für Informatik;
    2022. doi:<a href="https://doi.org/10.4230/LIPIcs.FSTTCS.2022.29">10.4230/LIPIcs.FSTTCS.2022.29</a>'
  apa: 'Ahmadi, A., Chatterjee, K., Goharshady, A. K., Meggendorfer, T., Safavi Hemami,
    R., &#38; Zikelic, D. (2022). Algorithms and hardness results for computing cores
    of Markov chains. In <i>42nd IARCS Annual Conference on Foundations of Software
    Technology and Theoretical Computer Science</i> (Vol. 250). Madras, India: Schloss
    Dagstuhl - Leibniz-Zentrum für Informatik. <a href="https://doi.org/10.4230/LIPIcs.FSTTCS.2022.29">https://doi.org/10.4230/LIPIcs.FSTTCS.2022.29</a>'
  chicago: Ahmadi, Ali, Krishnendu Chatterjee, Amir Kafshdar Goharshady, Tobias Meggendorfer,
    Roodabeh Safavi Hemami, and Dorde Zikelic. “Algorithms and Hardness Results for
    Computing Cores of Markov Chains.” In <i>42nd IARCS Annual Conference on Foundations
    of Software Technology and Theoretical Computer Science</i>, Vol. 250. Schloss
    Dagstuhl - Leibniz-Zentrum für Informatik, 2022. <a href="https://doi.org/10.4230/LIPIcs.FSTTCS.2022.29">https://doi.org/10.4230/LIPIcs.FSTTCS.2022.29</a>.
  ieee: A. Ahmadi, K. Chatterjee, A. K. Goharshady, T. Meggendorfer, R. Safavi Hemami,
    and D. Zikelic, “Algorithms and hardness results for computing cores of Markov
    chains,” in <i>42nd IARCS Annual Conference on Foundations of Software Technology
    and Theoretical Computer Science</i>, Madras, India, 2022, vol. 250.
  ista: 'Ahmadi A, Chatterjee K, Goharshady AK, Meggendorfer T, Safavi Hemami R, Zikelic
    D. 2022. Algorithms and hardness results for computing cores of Markov chains.
    42nd IARCS Annual Conference on Foundations of Software Technology and Theoretical
    Computer Science. FSTTC: Foundations of Software Technology and Theoretical Computer
    Science vol. 250, 29.'
  mla: Ahmadi, Ali, et al. “Algorithms and Hardness Results for Computing Cores of
    Markov Chains.” <i>42nd IARCS Annual Conference on Foundations of Software Technology
    and Theoretical Computer Science</i>, vol. 250, 29, Schloss Dagstuhl - Leibniz-Zentrum
    für Informatik, 2022, doi:<a href="https://doi.org/10.4230/LIPIcs.FSTTCS.2022.29">10.4230/LIPIcs.FSTTCS.2022.29</a>.
  short: A. Ahmadi, K. Chatterjee, A.K. Goharshady, T. Meggendorfer, R. Safavi Hemami,
    D. Zikelic, in:, 42nd IARCS Annual Conference on Foundations of Software Technology
    and Theoretical Computer Science, Schloss Dagstuhl - Leibniz-Zentrum für Informatik,
    2022.
conference:
  end_date: 2022-12-20
  location: Madras, India
  name: 'FSTTC: Foundations of Software Technology and Theoretical Computer Science'
  start_date: 2022-12-18
date_created: 2023-01-01T23:00:50Z
date_published: 2022-12-14T00:00:00Z
date_updated: 2025-07-14T09:09:55Z
day: '14'
ddc:
- '000'
department:
- _id: KrCh
- _id: GradSch
doi: 10.4230/LIPIcs.FSTTCS.2022.29
ec_funded: 1
file:
- access_level: open_access
  checksum: 6660c802489013f034c9e8bd57f4d46e
  content_type: application/pdf
  creator: dernst
  date_created: 2023-01-20T10:39:44Z
  date_updated: 2023-01-20T10:39:44Z
  file_id: '12324'
  file_name: 2022_LIPICs_Ahmadi.pdf
  file_size: 872534
  relation: main_file
  success: 1
file_date_updated: 2023-01-20T10:39:44Z
has_accepted_license: '1'
intvolume: '       250'
language:
- iso: eng
month: '12'
oa: 1
oa_version: Published Version
project:
- _id: 0599E47C-7A3F-11EA-A408-12923DDC885E
  call_identifier: H2020
  grant_number: '863818'
  name: 'Formal Methods for Stochastic Models: Algorithms and Applications'
- _id: 2564DBCA-B435-11E9-9278-68D0E5697425
  call_identifier: H2020
  grant_number: '665385'
  name: International IST Doctoral Program
publication: 42nd IARCS Annual Conference on Foundations of Software Technology and
  Theoretical Computer Science
publication_identifier:
  isbn:
  - '9783959772617'
  issn:
  - 1868-8969
publication_status: published
publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik
quality_controlled: '1'
scopus_import: '1'
status: public
title: Algorithms and hardness results for computing cores of Markov chains
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 250
year: '2022'
...
---
_id: '12508'
abstract:
- lang: eng
  text: "We explore the notion of history-determinism in the context of timed automata
    (TA). History-deterministic automata are those in which nondeterminism can be
    resolved on the fly, based on the run constructed thus far. History-determinism
    is a robust property that admits different game-based characterisations, and history-deterministic
    specifications allow for game-based verification without an expensive determinization
    step.\r\nWe show yet another characterisation of history-determinism in terms
    of fair simulation, at the general level of labelled transition systems: a system
    is history-deterministic precisely if and only if it fairly simulates all language
    smaller systems.\r\nFor timed automata over infinite timed words it is known that
    universality is undecidable for Büchi TA. We show that for history-deterministic
    TA with arbitrary parity acceptance, timed universality, inclusion, and synthesis
    all remain decidable and are ExpTime-complete.\r\nFor the subclass of TA with
    safety or reachability acceptance, we show that checking whether such an automaton
    is history-deterministic is decidable (in ExpTime), and history-deterministic
    TA with safety acceptance are effectively determinizable without introducing new
    automata states."
acknowledgement: "Thomas A. Henzinger: This work was supported in part by the ERC-2020-AdG
  101020093.\r\nPatrick Totzke: acknowledges support from the EPSRC, project no. EP/V025848/1.\r\n"
alternative_title:
- LIPIcs
article_processing_charge: No
author:
- first_name: Thomas A
  full_name: Henzinger, Thomas A
  id: 40876CD8-F248-11E8-B48F-1D18A9856A87
  last_name: Henzinger
  orcid: 0000-0002-2985-7724
- first_name: Karoliina
  full_name: Lehtinen, Karoliina
  last_name: Lehtinen
- first_name: Patrick
  full_name: Totzke, Patrick
  last_name: Totzke
citation:
  ama: 'Henzinger TA, Lehtinen K, Totzke P. History-deterministic timed automata.
    In: <i>33rd International Conference on Concurrency Theory</i>. Vol 243. Schloss
    Dagstuhl - Leibniz-Zentrum für Informatik; 2022:14:1-14:21. doi:<a href="https://doi.org/10.4230/LIPIcs.CONCUR.2022.14">10.4230/LIPIcs.CONCUR.2022.14</a>'
  apa: 'Henzinger, T. A., Lehtinen, K., &#38; Totzke, P. (2022). History-deterministic
    timed automata. In <i>33rd International Conference on Concurrency Theory</i>
    (Vol. 243, p. 14:1-14:21). Warsaw, Poland: Schloss Dagstuhl - Leibniz-Zentrum
    für Informatik. <a href="https://doi.org/10.4230/LIPIcs.CONCUR.2022.14">https://doi.org/10.4230/LIPIcs.CONCUR.2022.14</a>'
  chicago: Henzinger, Thomas A, Karoliina Lehtinen, and Patrick Totzke. “History-Deterministic
    Timed Automata.” In <i>33rd International Conference on Concurrency Theory</i>,
    243:14:1-14:21. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2022. <a href="https://doi.org/10.4230/LIPIcs.CONCUR.2022.14">https://doi.org/10.4230/LIPIcs.CONCUR.2022.14</a>.
  ieee: T. A. Henzinger, K. Lehtinen, and P. Totzke, “History-deterministic timed
    automata,” in <i>33rd International Conference on Concurrency Theory</i>, Warsaw,
    Poland, 2022, vol. 243, p. 14:1-14:21.
  ista: 'Henzinger TA, Lehtinen K, Totzke P. 2022. History-deterministic timed automata.
    33rd International Conference on Concurrency Theory. CONCUR: Conference on Concurrency
    Theory, LIPIcs, vol. 243, 14:1-14:21.'
  mla: Henzinger, Thomas A., et al. “History-Deterministic Timed Automata.” <i>33rd
    International Conference on Concurrency Theory</i>, vol. 243, Schloss Dagstuhl
    - Leibniz-Zentrum für Informatik, 2022, p. 14:1-14:21, doi:<a href="https://doi.org/10.4230/LIPIcs.CONCUR.2022.14">10.4230/LIPIcs.CONCUR.2022.14</a>.
  short: T.A. Henzinger, K. Lehtinen, P. Totzke, in:, 33rd International Conference
    on Concurrency Theory, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2022,
    p. 14:1-14:21.
conference:
  end_date: 2022-09-16
  location: Warsaw, Poland
  name: 'CONCUR: Conference on Concurrency Theory'
  start_date: 2022-09-13
date_created: 2023-02-05T17:24:23Z
date_published: 2022-09-06T00:00:00Z
date_updated: 2023-02-06T09:23:31Z
day: '06'
ddc:
- '000'
department:
- _id: ToHe
doi: 10.4230/LIPIcs.CONCUR.2022.14
ec_funded: 1
file:
- access_level: open_access
  checksum: 9e97e15628f66b2ad77f535bb0327dee
  content_type: application/pdf
  creator: dernst
  date_created: 2023-02-06T09:21:09Z
  date_updated: 2023-02-06T09:21:09Z
  file_id: '12520'
  file_name: 2022_LIPICs_Henzinger2.pdf
  file_size: 717940
  relation: main_file
  success: 1
file_date_updated: 2023-02-06T09:21:09Z
has_accepted_license: '1'
intvolume: '       243'
language:
- iso: eng
month: '09'
oa: 1
oa_version: Published Version
page: 14:1-14:21
project:
- _id: 62781420-2b32-11ec-9570-8d9b63373d4d
  call_identifier: H2020
  grant_number: '101020093'
  name: Vigilant Algorithmic Monitoring of Software
publication: 33rd International Conference on Concurrency Theory
publication_identifier:
  isbn:
  - '9783959772464'
  issn:
  - 1868-8969
publication_status: published
publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik
quality_controlled: '1'
scopus_import: '1'
status: public
title: History-deterministic timed automata
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 243
year: '2022'
...
---
_id: '12509'
abstract:
- lang: eng
  text: A graph game is a two-player zero-sum game in which the players move a token
    throughout a graph to produce an infinite path, which determines the winner or
    payoff of the game. In bidding games, both players have budgets, and in each turn,
    we hold an "auction" (bidding) to determine which player moves the token. In this
    survey, we consider several bidding mechanisms and their effect on the properties
    of the game. Specifically, bidding games, and in particular bidding games of infinite
    duration, have an intriguing equivalence with random-turn games in which in each
    turn, the player who moves is chosen randomly. We summarize how minor changes
    in the bidding mechanism lead to unexpected differences in the equivalence with
    random-turn games.
acknowledgement: "Guy Avni: Work partially supported by the Israel Science Foundation,
  ISF grant agreement\r\nno 1679/21.\r\nThomas A. Henzinger: This work was supported
  in part by the ERC-2020-AdG 101020093.\r\nWe would like to thank all our collaborators
  Milad Aghajohari, Ventsislav Chonev, Rasmus Ibsen-Jensen, Ismäel Jecker, Petr Novotný,
  Josef Tkadlec, and Ðorđe Žikelić; we hope the collaboration was as fun and meaningful
  for you as it was for us."
article_processing_charge: No
author:
- first_name: Guy
  full_name: Avni, Guy
  id: 463C8BC2-F248-11E8-B48F-1D18A9856A87
  last_name: Avni
  orcid: 0000-0001-5588-8287
- first_name: Thomas A
  full_name: Henzinger, Thomas A
  id: 40876CD8-F248-11E8-B48F-1D18A9856A87
  last_name: Henzinger
  orcid: 0000-0002-2985-7724
citation:
  ama: 'Avni G, Henzinger TA. An updated survey of bidding games on graphs. In: <i>47th
    International Symposium on Mathematical Foundations of Computer Science</i>. Vol
    241. Leibniz International Proceedings in Informatics (LIPIcs). Dagstuhl, Germany:
    Schloss Dagstuhl - Leibniz-Zentrum für Informatik; 2022:3:1-3:6. doi:<a href="https://doi.org/10.4230/LIPIcs.MFCS.2022.3">10.4230/LIPIcs.MFCS.2022.3</a>'
  apa: 'Avni, G., &#38; Henzinger, T. A. (2022). An updated survey of bidding games
    on graphs. In <i>47th International Symposium on Mathematical Foundations of Computer
    Science</i> (Vol. 241, p. 3:1-3:6). Dagstuhl, Germany: Schloss Dagstuhl - Leibniz-Zentrum
    für Informatik. <a href="https://doi.org/10.4230/LIPIcs.MFCS.2022.3">https://doi.org/10.4230/LIPIcs.MFCS.2022.3</a>'
  chicago: 'Avni, Guy, and Thomas A Henzinger. “An Updated Survey of Bidding Games
    on Graphs.” In <i>47th International Symposium on Mathematical Foundations of
    Computer Science</i>, 241:3:1-3:6. Leibniz International Proceedings in Informatics
    (LIPIcs). Dagstuhl, Germany: Schloss Dagstuhl - Leibniz-Zentrum für Informatik,
    2022. <a href="https://doi.org/10.4230/LIPIcs.MFCS.2022.3">https://doi.org/10.4230/LIPIcs.MFCS.2022.3</a>.'
  ieee: G. Avni and T. A. Henzinger, “An updated survey of bidding games on graphs,”
    in <i>47th International Symposium on Mathematical Foundations of Computer Science</i>,
    Vienna, Austria, 2022, vol. 241, p. 3:1-3:6.
  ista: 'Avni G, Henzinger TA. 2022. An updated survey of bidding games on graphs.
    47th International Symposium on Mathematical Foundations of Computer Science.
    MFCS: Symposium on Mathematical Foundations of Computer ScienceLeibniz International
    Proceedings in Informatics (LIPIcs) vol. 241, 3:1-3:6.'
  mla: Avni, Guy, and Thomas A. Henzinger. “An Updated Survey of Bidding Games on
    Graphs.” <i>47th International Symposium on Mathematical Foundations of Computer
    Science</i>, vol. 241, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2022,
    p. 3:1-3:6, doi:<a href="https://doi.org/10.4230/LIPIcs.MFCS.2022.3">10.4230/LIPIcs.MFCS.2022.3</a>.
  short: G. Avni, T.A. Henzinger, in:, 47th International Symposium on Mathematical
    Foundations of Computer Science, Schloss Dagstuhl - Leibniz-Zentrum für Informatik,
    Dagstuhl, Germany, 2022, p. 3:1-3:6.
conference:
  end_date: 2022-08-26
  location: Vienna, Austria
  name: 'MFCS: Symposium on Mathematical Foundations of Computer Science'
  start_date: 2022-08-22
date_created: 2023-02-05T17:26:01Z
date_published: 2022-08-22T00:00:00Z
date_updated: 2023-02-06T09:16:54Z
day: '22'
ddc:
- '000'
department:
- _id: ToHe
doi: 10.4230/LIPIcs.MFCS.2022.3
ec_funded: 1
file:
- access_level: open_access
  checksum: 1888ec9421622f9526fbec2de035f132
  content_type: application/pdf
  creator: dernst
  date_created: 2023-02-06T09:13:04Z
  date_updated: 2023-02-06T09:13:04Z
  file_id: '12519'
  file_name: 2022_LIPICs_Avni.pdf
  file_size: 624586
  relation: main_file
  success: 1
file_date_updated: 2023-02-06T09:13:04Z
has_accepted_license: '1'
intvolume: '       241'
language:
- iso: eng
month: '08'
oa: 1
oa_version: Published Version
page: 3:1-3:6
place: Dagstuhl, Germany
project:
- _id: 62781420-2b32-11ec-9570-8d9b63373d4d
  call_identifier: H2020
  grant_number: '101020093'
  name: Vigilant Algorithmic Monitoring of Software
publication: 47th International Symposium on Mathematical Foundations of Computer
  Science
publication_identifier:
  isbn:
  - '9783959772563'
  issn:
  - 1868-8969
publication_status: published
publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik
quality_controlled: '1'
scopus_import: '1'
series_title: Leibniz International Proceedings in Informatics (LIPIcs)
status: public
title: An updated survey of bidding games on graphs
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 241
year: '2022'
...
---
_id: '12775'
abstract:
- lang: eng
  text: "We consider the problem of approximating the reachability probabilities in
    Markov decision processes (MDP) with uncountable (continuous) state and action
    spaces. While there are algorithms that, for special classes of such MDP, provide
    a sequence of approximations converging to the true value in the limit, our aim
    is to obtain an algorithm with guarantees on the precision of the approximation.\r\nAs
    this problem is undecidable in general, assumptions on the MDP are necessary.
    Our main contribution is to identify sufficient assumptions that are as weak as
    possible, thus approaching the \"boundary\" of which systems can be correctly
    and reliably analyzed. To this end, we also argue why each of our assumptions
    is necessary for algorithms based on processing finitely many observations.\r\nWe
    present two solution variants. The first one provides converging lower bounds
    under weaker assumptions than typical ones from previous works concerned with
    guarantees. The second one then utilizes stronger assumptions to additionally
    provide converging upper bounds. Altogether, we obtain an anytime algorithm, i.e.
    yielding a sequence of approximants with known and iteratively improving precision,
    converging to the true value in the limit. Besides, due to the generality of our
    assumptions, our algorithms are very general templates, readily allowing for various
    heuristics from literature in contrast to, e.g., a specific discretization algorithm.
    Our theoretical contribution thus paves the way for future practical improvements
    without sacrificing correctness guarantees."
acknowledgement: "Kush Grover: The author has been supported by the DFG research training
  group GRK\r\n2428 ConVeY.\r\nMaximilian Weininger: The author has been partially
  supported by DFG projects 383882557\r\nStatistical Unbounded Verification (SUV)
  and 427755713 Group-By Objectives in Probabilistic\r\nVerification (GOPro)"
alternative_title:
- LIPIcs
article_number: '11'
article_processing_charge: No
arxiv: 1
author:
- first_name: Kush
  full_name: Grover, Kush
  last_name: Grover
- first_name: Jan
  full_name: Kretinsky, Jan
  id: 44CEF464-F248-11E8-B48F-1D18A9856A87
  last_name: Kretinsky
  orcid: 0000-0002-8122-2881
- first_name: Tobias
  full_name: Meggendorfer, Tobias
  id: b21b0c15-30a2-11eb-80dc-f13ca25802e1
  last_name: Meggendorfer
  orcid: 0000-0002-1712-2165
- first_name: Maimilian
  full_name: Weininger, Maimilian
  last_name: Weininger
citation:
  ama: 'Grover K, Kretinsky J, Meggendorfer T, Weininger M. Anytime guarantees for
    reachability in uncountable Markov decision processes. In: <i>33rd International
    Conference on Concurrency Theory </i>. Vol 243. Schloss Dagstuhl - Leibniz-Zentrum
    für Informatik; 2022. doi:<a href="https://doi.org/10.4230/LIPIcs.CONCUR.2022.11">10.4230/LIPIcs.CONCUR.2022.11</a>'
  apa: 'Grover, K., Kretinsky, J., Meggendorfer, T., &#38; Weininger, M. (2022). Anytime
    guarantees for reachability in uncountable Markov decision processes. In <i>33rd
    International Conference on Concurrency Theory </i> (Vol. 243). Warsaw, Poland:
    Schloss Dagstuhl - Leibniz-Zentrum für Informatik. <a href="https://doi.org/10.4230/LIPIcs.CONCUR.2022.11">https://doi.org/10.4230/LIPIcs.CONCUR.2022.11</a>'
  chicago: Grover, Kush, Jan Kretinsky, Tobias Meggendorfer, and Maimilian Weininger.
    “Anytime Guarantees for Reachability in Uncountable Markov Decision Processes.”
    In <i>33rd International Conference on Concurrency Theory </i>, Vol. 243. Schloss
    Dagstuhl - Leibniz-Zentrum für Informatik, 2022. <a href="https://doi.org/10.4230/LIPIcs.CONCUR.2022.11">https://doi.org/10.4230/LIPIcs.CONCUR.2022.11</a>.
  ieee: K. Grover, J. Kretinsky, T. Meggendorfer, and M. Weininger, “Anytime guarantees
    for reachability in uncountable Markov decision processes,” in <i>33rd International
    Conference on Concurrency Theory </i>, Warsaw, Poland, 2022, vol. 243.
  ista: 'Grover K, Kretinsky J, Meggendorfer T, Weininger M. 2022. Anytime guarantees
    for reachability in uncountable Markov decision processes. 33rd International
    Conference on Concurrency Theory . CONCUR: Conference on Concurrency Theory, LIPIcs,
    vol. 243, 11.'
  mla: Grover, Kush, et al. “Anytime Guarantees for Reachability in Uncountable Markov
    Decision Processes.” <i>33rd International Conference on Concurrency Theory </i>,
    vol. 243, 11, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2022, doi:<a
    href="https://doi.org/10.4230/LIPIcs.CONCUR.2022.11">10.4230/LIPIcs.CONCUR.2022.11</a>.
  short: K. Grover, J. Kretinsky, T. Meggendorfer, M. Weininger, in:, 33rd International
    Conference on Concurrency Theory , Schloss Dagstuhl - Leibniz-Zentrum für Informatik,
    2022.
conference:
  end_date: 2022-09-16
  location: Warsaw, Poland
  name: 'CONCUR: Conference on Concurrency Theory'
  start_date: 2022-09-13
date_created: 2023-03-28T08:09:32Z
date_published: 2022-09-15T00:00:00Z
date_updated: 2023-09-26T10:43:30Z
day: '15'
ddc:
- '000'
department:
- _id: KrCh
doi: 10.4230/LIPIcs.CONCUR.2022.11
external_id:
  arxiv:
  - '2008.04824'
file:
- access_level: open_access
  checksum: e282e43d3ae0ba6e067b72f4583e13c0
  content_type: application/pdf
  creator: dernst
  date_created: 2023-09-26T10:43:15Z
  date_updated: 2023-09-26T10:43:15Z
  file_id: '14372'
  file_name: 2022_LIPIcS_Grover.pdf
  file_size: 960036
  relation: main_file
  success: 1
file_date_updated: 2023-09-26T10:43:15Z
has_accepted_license: '1'
intvolume: '       243'
language:
- iso: eng
month: '09'
oa: 1
oa_version: Published Version
publication: '33rd International Conference on Concurrency Theory '
publication_identifier:
  issn:
  - 1868-8969
publication_status: published
publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik
quality_controlled: '1'
scopus_import: '1'
status: public
title: Anytime guarantees for reachability in uncountable Markov decision processes
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 243
year: '2022'
...
---
_id: '9345'
abstract:
- lang: eng
  text: Modeling a crystal as a periodic point set, we present a fingerprint consisting
    of density functionsthat facilitates the efficient search for new materials and
    material properties. We prove invarianceunder isometries, continuity, and completeness
    in the generic case, which are necessary featuresfor the reliable comparison of
    crystals. The proof of continuity integrates methods from discretegeometry and
    lattice theory, while the proof of generic completeness combines techniques fromgeometry
    with analysis. The fingerprint has a fast algorithm based on Brillouin zones and
    relatedinclusion-exclusion formulae. We have implemented the algorithm and describe
    its application tocrystal structure prediction.
acknowledgement: The authors thank Janos Pach for insightful discussions on the topic
  of thispaper, Morteza Saghafian for finding the one-dimensional counterexample mentioned
  in Section 5,and Larry Andrews for generously sharing his crystallographic perspective.
alternative_title:
- LIPIcs
article_processing_charge: No
author:
- first_name: Herbert
  full_name: Edelsbrunner, Herbert
  id: 3FB178DA-F248-11E8-B48F-1D18A9856A87
  last_name: Edelsbrunner
  orcid: 0000-0002-9823-6833
- first_name: Teresa
  full_name: Heiss, Teresa
  id: 4879BB4E-F248-11E8-B48F-1D18A9856A87
  last_name: Heiss
  orcid: 0000-0002-1780-2689
- first_name: Vitaliy
  full_name: ' Kurlin , Vitaliy'
  last_name: ' Kurlin '
- first_name: Philip
  full_name: Smith, Philip
  last_name: Smith
- first_name: Mathijs
  full_name: Wintraecken, Mathijs
  id: 307CFBC8-F248-11E8-B48F-1D18A9856A87
  last_name: Wintraecken
  orcid: 0000-0002-7472-2220
citation:
  ama: 'Edelsbrunner H, Heiss T,  Kurlin  V, Smith P, Wintraecken M. The density fingerprint
    of a periodic point set. In: <i>37th International Symposium on Computational
    Geometry (SoCG 2021)</i>. Vol 189. Schloss Dagstuhl - Leibniz-Zentrum für Informatik;
    2021:32:1-32:16. doi:<a href="https://doi.org/10.4230/LIPIcs.SoCG.2021.32">10.4230/LIPIcs.SoCG.2021.32</a>'
  apa: 'Edelsbrunner, H., Heiss, T.,  Kurlin , V., Smith, P., &#38; Wintraecken, M.
    (2021). The density fingerprint of a periodic point set. In <i>37th International
    Symposium on Computational Geometry (SoCG 2021)</i> (Vol. 189, p. 32:1-32:16).
    Virtual: Schloss Dagstuhl - Leibniz-Zentrum für Informatik. <a href="https://doi.org/10.4230/LIPIcs.SoCG.2021.32">https://doi.org/10.4230/LIPIcs.SoCG.2021.32</a>'
  chicago: Edelsbrunner, Herbert, Teresa Heiss, Vitaliy  Kurlin , Philip Smith, and
    Mathijs Wintraecken. “The Density Fingerprint of a Periodic Point Set.” In <i>37th
    International Symposium on Computational Geometry (SoCG 2021)</i>, 189:32:1-32:16.
    Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2021. <a href="https://doi.org/10.4230/LIPIcs.SoCG.2021.32">https://doi.org/10.4230/LIPIcs.SoCG.2021.32</a>.
  ieee: H. Edelsbrunner, T. Heiss, V.  Kurlin , P. Smith, and M. Wintraecken, “The
    density fingerprint of a periodic point set,” in <i>37th International Symposium
    on Computational Geometry (SoCG 2021)</i>, Virtual, 2021, vol. 189, p. 32:1-32:16.
  ista: 'Edelsbrunner H, Heiss T,  Kurlin  V, Smith P, Wintraecken M. 2021. The density
    fingerprint of a periodic point set. 37th International Symposium on Computational
    Geometry (SoCG 2021). SoCG: Symposium on Computational Geometry, LIPIcs, vol.
    189, 32:1-32:16.'
  mla: Edelsbrunner, Herbert, et al. “The Density Fingerprint of a Periodic Point
    Set.” <i>37th International Symposium on Computational Geometry (SoCG 2021)</i>,
    vol. 189, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2021, p. 32:1-32:16,
    doi:<a href="https://doi.org/10.4230/LIPIcs.SoCG.2021.32">10.4230/LIPIcs.SoCG.2021.32</a>.
  short: H. Edelsbrunner, T. Heiss, V.  Kurlin , P. Smith, M. Wintraecken, in:, 37th
    International Symposium on Computational Geometry (SoCG 2021), Schloss Dagstuhl
    - Leibniz-Zentrum für Informatik, 2021, p. 32:1-32:16.
conference:
  end_date: 2021-06-11
  location: Virtual
  name: 'SoCG: Symposium on Computational Geometry'
  start_date: 2021-06-07
date_created: 2021-04-22T08:09:58Z
date_published: 2021-06-02T00:00:00Z
date_updated: 2023-02-23T13:55:40Z
day: '02'
ddc:
- '004'
- '516'
department:
- _id: HeEd
doi: 10.4230/LIPIcs.SoCG.2021.32
ec_funded: 1
file:
- access_level: open_access
  checksum: 1787baef1523d6d93753b90d0c109a6d
  content_type: application/pdf
  creator: mwintrae
  date_created: 2021-04-22T08:08:14Z
  date_updated: 2021-04-22T08:08:14Z
  file_id: '9346'
  file_name: df_socg_final_version.pdf
  file_size: 3117435
  relation: main_file
  success: 1
file_date_updated: 2021-04-22T08:08:14Z
has_accepted_license: '1'
intvolume: '       189'
language:
- iso: eng
month: '06'
oa: 1
oa_version: Published Version
page: 32:1-32:16
project:
- _id: 266A2E9E-B435-11E9-9278-68D0E5697425
  call_identifier: H2020
  grant_number: '788183'
  name: Alpha Shape Theory Extended
- _id: 0aa4bc98-070f-11eb-9043-e6fff9c6a316
  grant_number: I4887
  name: Discretization in Geometry and Dynamics
- _id: 25C5A090-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: Z00312
  name: The Wittgenstein Prize
- _id: 260C2330-B435-11E9-9278-68D0E5697425
  call_identifier: H2020
  grant_number: '754411'
  name: ISTplus - Postdoctoral Fellowships
publication: 37th International Symposium on Computational Geometry (SoCG 2021)
publication_identifier:
  issn:
  - 1868-8969
publication_status: published
publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik
quality_controlled: '1'
status: public
title: The density fingerprint of a periodic point set
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: conference
user_id: D865714E-FA4E-11E9-B85B-F5C5E5697425
volume: 189
year: '2021'
...
---
_id: '9441'
abstract:
- lang: eng
  text: "Isomanifolds are the generalization of isosurfaces to arbitrary dimension
    and codimension, i.e. submanifolds of ℝ^d defined as the zero set of some multivariate
    multivalued smooth function f: ℝ^d → ℝ^{d-n}, where n is the intrinsic dimension
    of the manifold. A natural way to approximate a smooth isomanifold M is to consider
    its Piecewise-Linear (PL) approximation M̂ based on a triangulation \U0001D4AF
    of the ambient space ℝ^d. In this paper, we describe a simple algorithm to trace
    isomanifolds from a given starting point. The algorithm works for arbitrary dimensions
    n and d, and any precision D. Our main result is that, when f (or M) has bounded
    complexity, the complexity of the algorithm is polynomial in d and δ = 1/D (and
    unavoidably exponential in n). Since it is known that for δ = Ω (d^{2.5}), M̂
    is O(D²)-close and isotopic to M, our algorithm produces a faithful PL-approximation
    of isomanifolds of bounded complexity in time polynomial in d. Combining this
    algorithm with dimensionality reduction techniques, the dependency on d in the
    size of M̂ can be completely removed with high probability. We also show that
    the algorithm can handle isomanifolds with boundary and, more generally, isostratifolds.
    The algorithm for isomanifolds with boundary has been implemented and experimental
    results are reported, showing that it is practical and can handle cases that are
    far ahead of the state-of-the-art. "
acknowledgement: We thank Dominique Attali, Guilherme de Fonseca, Arijit Ghosh, Vincent
  Pilaud and Aurélien Alvarez for their comments and suggestions. We also acknowledge
  the reviewers.
alternative_title:
- LIPIcs
article_processing_charge: No
author:
- first_name: Jean-Daniel
  full_name: Boissonnat, Jean-Daniel
  last_name: Boissonnat
- first_name: Siargey
  full_name: Kachanovich, Siargey
  last_name: Kachanovich
- first_name: Mathijs
  full_name: Wintraecken, Mathijs
  id: 307CFBC8-F248-11E8-B48F-1D18A9856A87
  last_name: Wintraecken
  orcid: 0000-0002-7472-2220
citation:
  ama: 'Boissonnat J-D, Kachanovich S, Wintraecken M. Tracing isomanifolds in Rd in
    time polynomial in d using Coxeter-Freudenthal-Kuhn triangulations. In: <i>37th
    International Symposium on Computational Geometry (SoCG 2021)</i>. Vol 189. Leibniz
    International Proceedings in Informatics (LIPIcs). Dagstuhl, Germany: Schloss
    Dagstuhl - Leibniz-Zentrum für Informatik; 2021:17:1-17:16. doi:<a href="https://doi.org/10.4230/LIPIcs.SoCG.2021.17">10.4230/LIPIcs.SoCG.2021.17</a>'
  apa: 'Boissonnat, J.-D., Kachanovich, S., &#38; Wintraecken, M. (2021). Tracing
    isomanifolds in Rd in time polynomial in d using Coxeter-Freudenthal-Kuhn triangulations.
    In <i>37th International Symposium on Computational Geometry (SoCG 2021)</i> (Vol.
    189, p. 17:1-17:16). Dagstuhl, Germany: Schloss Dagstuhl - Leibniz-Zentrum für
    Informatik. <a href="https://doi.org/10.4230/LIPIcs.SoCG.2021.17">https://doi.org/10.4230/LIPIcs.SoCG.2021.17</a>'
  chicago: 'Boissonnat, Jean-Daniel, Siargey Kachanovich, and Mathijs Wintraecken.
    “Tracing Isomanifolds in Rd in Time Polynomial in d Using Coxeter-Freudenthal-Kuhn
    Triangulations.” In <i>37th International Symposium on Computational Geometry
    (SoCG 2021)</i>, 189:17:1-17:16. Leibniz International Proceedings in Informatics
    (LIPIcs). Dagstuhl, Germany: Schloss Dagstuhl - Leibniz-Zentrum für Informatik,
    2021. <a href="https://doi.org/10.4230/LIPIcs.SoCG.2021.17">https://doi.org/10.4230/LIPIcs.SoCG.2021.17</a>.'
  ieee: J.-D. Boissonnat, S. Kachanovich, and M. Wintraecken, “Tracing isomanifolds
    in Rd in time polynomial in d using Coxeter-Freudenthal-Kuhn triangulations,”
    in <i>37th International Symposium on Computational Geometry (SoCG 2021)</i>,
    Virtual, 2021, vol. 189, p. 17:1-17:16.
  ista: 'Boissonnat J-D, Kachanovich S, Wintraecken M. 2021. Tracing isomanifolds
    in Rd in time polynomial in d using Coxeter-Freudenthal-Kuhn triangulations. 37th
    International Symposium on Computational Geometry (SoCG 2021). SoCG: Symposium
    on Computational GeometryLeibniz International Proceedings in Informatics (LIPIcs),
    LIPIcs, vol. 189, 17:1-17:16.'
  mla: Boissonnat, Jean-Daniel, et al. “Tracing Isomanifolds in Rd in Time Polynomial
    in d Using Coxeter-Freudenthal-Kuhn Triangulations.” <i>37th International Symposium
    on Computational Geometry (SoCG 2021)</i>, vol. 189, Schloss Dagstuhl - Leibniz-Zentrum
    für Informatik, 2021, p. 17:1-17:16, doi:<a href="https://doi.org/10.4230/LIPIcs.SoCG.2021.17">10.4230/LIPIcs.SoCG.2021.17</a>.
  short: J.-D. Boissonnat, S. Kachanovich, M. Wintraecken, in:, 37th International
    Symposium on Computational Geometry (SoCG 2021), Schloss Dagstuhl - Leibniz-Zentrum
    für Informatik, Dagstuhl, Germany, 2021, p. 17:1-17:16.
conference:
  end_date: 2021-06-11
  location: Virtual
  name: 'SoCG: Symposium on Computational Geometry'
  start_date: 2021-06-07
date_created: 2021-06-02T10:10:55Z
date_published: 2021-06-02T00:00:00Z
date_updated: 2023-10-10T07:34:34Z
day: '02'
ddc:
- '005'
- '516'
- '514'
department:
- _id: HeEd
doi: 10.4230/LIPIcs.SoCG.2021.17
ec_funded: 1
file:
- access_level: open_access
  checksum: c322aa48d5d35a35877896cc565705b6
  content_type: application/pdf
  creator: mwintrae
  date_created: 2021-06-02T10:22:33Z
  date_updated: 2021-06-02T10:22:33Z
  file_id: '9442'
  file_name: LIPIcs-SoCG-2021-17.pdf
  file_size: 1972902
  relation: main_file
  success: 1
file_date_updated: 2021-06-02T10:22:33Z
has_accepted_license: '1'
intvolume: '       189'
language:
- iso: eng
month: '06'
oa: 1
oa_version: Published Version
page: 17:1-17:16
place: Dagstuhl, Germany
project:
- _id: 260C2330-B435-11E9-9278-68D0E5697425
  call_identifier: H2020
  grant_number: '754411'
  name: ISTplus - Postdoctoral Fellowships
publication: 37th International Symposium on Computational Geometry (SoCG 2021)
publication_identifier:
  isbn:
  - 978-3-95977-184-9
  issn:
  - 1868-8969
publication_status: published
publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik
quality_controlled: '1'
related_material:
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  - id: '12960'
    relation: later_version
    status: public
series_title: Leibniz International Proceedings in Informatics (LIPIcs)
status: public
title: Tracing isomanifolds in Rd in time polynomial in d using Coxeter-Freudenthal-Kuhn
  triangulations
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: conference
user_id: D865714E-FA4E-11E9-B85B-F5C5E5697425
volume: 189
year: '2021'
...
---
_id: '10052'
abstract:
- lang: eng
  text: "A deterministic finite automaton (DFA) \U0001D49C is composite if its language
    L(\U0001D49C) can be decomposed into an intersection ⋂_{i = 1}^k L(\U0001D49C_i)
    of languages of smaller DFAs. Otherwise, \U0001D49C is prime. This notion of primality
    was introduced by Kupferman and Mosheiff in 2013, and while they proved that we
    can decide whether a DFA is composite, the precise complexity of this problem
    is still open, with a doubly-exponential gap between the upper and lower bounds.
    In this work, we focus on permutation DFAs, i.e., those for which the transition
    monoid is a group. We provide an NP algorithm to decide whether a permutation
    DFA is composite, and show that the difficulty of this problem comes from the
    number of non-accepting states of the instance: we give a fixed-parameter tractable
    algorithm with the number of rejecting states as the parameter. Moreover, we investigate
    the class of commutative permutation DFAs. Their structural properties allow us
    to decide compositionality in NL, and even in LOGSPACE if the alphabet size is
    fixed. Despite this low complexity, we show that complex behaviors still arise
    in this class: we provide a family of composite DFAs each requiring polynomially
    many factors with respect to its size. We also consider the variant of the problem
    that asks whether a DFA is k-factor composite, that is, decomposable into k smaller
    DFAs, for some given integer k ∈ ℕ. We show that, for commutative permutation
    DFAs, restricting the number of factors makes the decision computationally harder,
    and yields a problem with tight bounds: it is NP-complete. Finally, we show that
    in general, this problem is in PSPACE, and it is in LOGSPACE for DFAs with a singleton
    alphabet."
acknowledgement: "Ismaël Jecker: Marie Skłodowska-Curie Grant Agreement No. 754411.
  Nicolas Mazzocchi: BOSCO project PGC2018-102210-B-I00 (MCIU/AEI/FEDER, UE), BLOQUESCM
  project S2018/TCS-4339, and MINECO grant RYC-2016-20281.\r\nPetra Wolf : DFG project
  FE 560/9-1.\r\n"
alternative_title:
- LIPIcs
article_number: '18'
article_processing_charge: No
arxiv: 1
author:
- first_name: Ismael R
  full_name: Jecker, Ismael R
  id: 85D7C63E-7D5D-11E9-9C0F-98C4E5697425
  last_name: Jecker
- first_name: Nicolas
  full_name: Mazzocchi, Nicolas
  last_name: Mazzocchi
- first_name: Petra
  full_name: Wolf, Petra
  last_name: Wolf
citation:
  ama: 'Jecker IR, Mazzocchi N, Wolf P. Decomposing permutation automata. In: <i>32nd
    International Conference on Concurrency Theory</i>. Vol 203. Schloss Dagstuhl
    - Leibniz Zentrum für Informatik; 2021. doi:<a href="https://doi.org/10.4230/LIPIcs.CONCUR.2021.18">10.4230/LIPIcs.CONCUR.2021.18</a>'
  apa: 'Jecker, I. R., Mazzocchi, N., &#38; Wolf, P. (2021). Decomposing permutation
    automata. In <i>32nd International Conference on Concurrency Theory</i> (Vol.
    203). Paris, France: Schloss Dagstuhl - Leibniz Zentrum für Informatik. <a href="https://doi.org/10.4230/LIPIcs.CONCUR.2021.18">https://doi.org/10.4230/LIPIcs.CONCUR.2021.18</a>'
  chicago: Jecker, Ismael R, Nicolas Mazzocchi, and Petra Wolf. “Decomposing Permutation
    Automata.” In <i>32nd International Conference on Concurrency Theory</i>, Vol.
    203. Schloss Dagstuhl - Leibniz Zentrum für Informatik, 2021. <a href="https://doi.org/10.4230/LIPIcs.CONCUR.2021.18">https://doi.org/10.4230/LIPIcs.CONCUR.2021.18</a>.
  ieee: I. R. Jecker, N. Mazzocchi, and P. Wolf, “Decomposing permutation automata,”
    in <i>32nd International Conference on Concurrency Theory</i>, Paris, France,
    2021, vol. 203.
  ista: 'Jecker IR, Mazzocchi N, Wolf P. 2021. Decomposing permutation automata. 32nd
    International Conference on Concurrency Theory. CONCUR: Conference on Concurrency
    Theory, LIPIcs, vol. 203, 18.'
  mla: Jecker, Ismael R., et al. “Decomposing Permutation Automata.” <i>32nd International
    Conference on Concurrency Theory</i>, vol. 203, 18, Schloss Dagstuhl - Leibniz
    Zentrum für Informatik, 2021, doi:<a href="https://doi.org/10.4230/LIPIcs.CONCUR.2021.18">10.4230/LIPIcs.CONCUR.2021.18</a>.
  short: I.R. Jecker, N. Mazzocchi, P. Wolf, in:, 32nd International Conference on
    Concurrency Theory, Schloss Dagstuhl - Leibniz Zentrum für Informatik, 2021.
conference:
  end_date: 2021-08-27
  location: Paris, France
  name: 'CONCUR: Conference on Concurrency Theory'
  start_date: 2021-08-23
date_created: 2021-09-27T14:33:14Z
date_published: 2021-08-13T00:00:00Z
date_updated: 2022-05-13T08:12:52Z
day: '13'
ddc:
- '000'
department:
- _id: KrCh
doi: 10.4230/LIPIcs.CONCUR.2021.18
ec_funded: 1
external_id:
  arxiv:
  - '2107.04683'
file:
- access_level: open_access
  checksum: 4722c81be82265cf45e78adf9db91250
  content_type: application/pdf
  creator: cchlebak
  date_created: 2021-10-01T11:10:53Z
  date_updated: 2021-10-01T11:10:53Z
  file_id: '10064'
  file_name: 2021_CONCUR_Jecker.pdf
  file_size: 1003552
  relation: main_file
  success: 1
file_date_updated: 2021-10-01T11:10:53Z
has_accepted_license: '1'
intvolume: '       203'
language:
- iso: eng
month: '08'
oa: 1
oa_version: Published Version
project:
- _id: 260C2330-B435-11E9-9278-68D0E5697425
  call_identifier: H2020
  grant_number: '754411'
  name: ISTplus - Postdoctoral Fellowships
publication: 32nd International Conference on Concurrency Theory
publication_identifier:
  isbn:
  - 978-3-9597-7203-7
  issn:
  - 1868-8969
publication_status: published
publisher: Schloss Dagstuhl - Leibniz Zentrum für Informatik
quality_controlled: '1'
scopus_import: '1'
status: public
title: Decomposing permutation automata
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 203
year: '2021'
...
