---
_id: '15006'
abstract:
- lang: eng
text: Graphical games are a useful framework for modeling the interactions of (selfish)
agents who are connected via an underlying topology and whose behaviors influence
each other. They have wide applications ranging from computer science to economics
and biology. Yet, even though an agent’s payoff only depends on the actions of
their direct neighbors in graphical games, computing the Nash equilibria and making
statements about the convergence time of "natural" local dynamics in particular
can be highly challenging. In this work, we present a novel approach for classifying
complexity of Nash equilibria in graphical games by establishing a connection
to local graph algorithms, a subfield of distributed computing. In particular,
we make the observation that the equilibria of graphical games are equivalent
to locally verifiable labelings (LVL) in graphs; vertex labelings which are verifiable
with constant-round local algorithms. This connection allows us to derive novel
lower bounds on the convergence time to equilibrium of best-response dynamics
in graphical games. Since we establish that distributed convergence can sometimes
be provably slow, we also introduce and give bounds on an intuitive notion of
"time-constrained" inefficiency of best responses. We exemplify how our results
can be used in the implementation of mechanisms that ensure convergence of best
responses to a Nash equilibrium. Our results thus also give insight into the convergence
of strategy-proof algorithms for graphical games, which is still not well understood.
acknowledgement: This work was partially funded by the Academy of Finland, grant 314888,
the European Research Council CoG 863818 (ForM-SMArt), and the Austrian Science
Fund (FWF) project I 4800-N (ADVISE). LS was supported by the Stochastic Analysis
and Application Research Center (SAARC) under National Research Foundation of Korea
grant NRF-2019R1A5A1028324.
alternative_title:
- LIPIcs
article_number: '11'
article_processing_charge: No
arxiv: 1
author:
- first_name: Juho
full_name: Hirvonen, Juho
last_name: Hirvonen
- first_name: Laura
full_name: Schmid, Laura
id: 38B437DE-F248-11E8-B48F-1D18A9856A87
last_name: Schmid
orcid: 0000-0002-6978-7329
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
- first_name: Stefan
full_name: Schmid, Stefan
last_name: Schmid
citation:
ama: 'Hirvonen J, Schmid L, Chatterjee K, Schmid S. On the convergence time in graphical
games: A locality-sensitive approach. In: 27th International Conference on
Principles of Distributed Systems. Vol 286. Schloss Dagstuhl - Leibniz-Zentrum
für Informatik; 2024. doi:10.4230/LIPIcs.OPODIS.2023.11'
apa: 'Hirvonen, J., Schmid, L., Chatterjee, K., & Schmid, S. (2024). On the
convergence time in graphical games: A locality-sensitive approach. In 27th
International Conference on Principles of Distributed Systems (Vol. 286).
Tokyo, Japan: Schloss Dagstuhl - Leibniz-Zentrum für Informatik. https://doi.org/10.4230/LIPIcs.OPODIS.2023.11'
chicago: 'Hirvonen, Juho, Laura Schmid, Krishnendu Chatterjee, and Stefan Schmid.
“On the Convergence Time in Graphical Games: A Locality-Sensitive Approach.” In
27th International Conference on Principles of Distributed Systems, Vol.
286. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2024. https://doi.org/10.4230/LIPIcs.OPODIS.2023.11.'
ieee: 'J. Hirvonen, L. Schmid, K. Chatterjee, and S. Schmid, “On the convergence
time in graphical games: A locality-sensitive approach,” in 27th International
Conference on Principles of Distributed Systems, Tokyo, Japan, 2024, vol.
286.'
ista: 'Hirvonen J, Schmid L, Chatterjee K, Schmid S. 2024. On the convergence time
in graphical games: A locality-sensitive approach. 27th International Conference
on Principles of Distributed Systems. OPODIS: Conference on Principles of Distributed
Systems, LIPIcs, vol. 286, 11.'
mla: 'Hirvonen, Juho, et al. “On the Convergence Time in Graphical Games: A Locality-Sensitive
Approach.” 27th International Conference on Principles of Distributed Systems,
vol. 286, 11, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2024, doi:10.4230/LIPIcs.OPODIS.2023.11.'
short: J. Hirvonen, L. Schmid, K. Chatterjee, S. Schmid, 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: 2024-02-18T23:01:01Z
date_published: 2024-01-18T00:00:00Z
date_updated: 2025-07-14T09:10:03Z
day: '18'
ddc:
- '000'
department:
- _id: KrCh
doi: 10.4230/LIPIcs.OPODIS.2023.11
ec_funded: 1
external_id:
arxiv:
- '2102.13457'
file:
- access_level: open_access
checksum: 4fc7eea6e4ba140b904781fc7df868ec
content_type: application/pdf
creator: dernst
date_created: 2024-02-26T09:04:58Z
date_updated: 2024-02-26T09:04:58Z
file_id: '15028'
file_name: 2024_LIPICs_Hirvonen.pdf
file_size: 867363
relation: main_file
success: 1
file_date_updated: 2024-02-26T09:04:58Z
has_accepted_license: '1'
intvolume: ' 286'
language:
- iso: eng
month: '01'
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: 27th International Conference on Principles of Distributed Systems
publication_identifier:
isbn:
- '9783959773089'
issn:
- '18688969'
publication_status: published
publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik
quality_controlled: '1'
scopus_import: '1'
status: public
title: 'On the convergence time in graphical games: A locality-sensitive approach'
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: '14405'
abstract:
- lang: eng
text: We introduce hypernode automata as a new specification formalism for hyperproperties
of concurrent systems. They are finite automata with nodes labeled with hypernode
logic formulas and transitions labeled with actions. A hypernode logic formula
specifies relations between sequences of variable values in different system executions.
Unlike HyperLTL, hypernode logic takes an asynchronous view on execution traces
by constraining the values and the order of value changes of each variable without
correlating the timing of the changes. Different execution traces are synchronized
solely through the transitions of hypernode automata. Hypernode automata naturally
combine asynchronicity at the node level with synchronicity at the transition
level. We show that the model-checking problem for hypernode automata is decidable
over action-labeled Kripke structures, whose actions induce transitions of the
specification automata. For this reason, hypernode automaton is a suitable formalism
for specifying and verifying asynchronous hyperproperties, such as declassifying
observational determinism in multi-threaded programs.
acknowledgement: "This work was supported in part by the Austrian Science Fund (FWF)
SFB project\r\nSpyCoDe F8502, by the FWF projects ZK-35 and W1255-N23, and by the
ERC Advanced Grant\r\nVAMOS 101020093."
alternative_title:
- LIPIcs
article_number: '21'
article_processing_charge: Yes
arxiv: 1
author:
- first_name: Ezio
full_name: Bartocci, Ezio
last_name: Bartocci
- 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: Dejan
full_name: Nickovic, Dejan
id: 41BCEE5C-F248-11E8-B48F-1D18A9856A87
last_name: Nickovic
- first_name: Ana
full_name: Oliveira da Costa, Ana
id: f347ec37-6676-11ee-b395-a888cb7b4fb4
last_name: Oliveira da Costa
orcid: 0000-0002-8741-5799
citation:
ama: 'Bartocci E, Henzinger TA, Nickovic D, Oliveira da Costa A. Hypernode automata.
In: 34th International Conference on Concurrency Theory. Vol 279. Schloss
Dagstuhl - Leibniz-Zentrum für Informatik; 2023. doi:10.4230/LIPIcs.CONCUR.2023.21'
apa: 'Bartocci, E., Henzinger, T. A., Nickovic, D., & Oliveira da Costa, A.
(2023). Hypernode automata. In 34th International Conference on Concurrency
Theory (Vol. 279). Antwerp, Belgium: Schloss Dagstuhl - Leibniz-Zentrum für
Informatik. https://doi.org/10.4230/LIPIcs.CONCUR.2023.21'
chicago: Bartocci, Ezio, Thomas A Henzinger, Dejan Nickovic, and Ana Oliveira da
Costa. “Hypernode Automata.” In 34th International Conference on Concurrency
Theory, Vol. 279. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2023.
https://doi.org/10.4230/LIPIcs.CONCUR.2023.21.
ieee: E. Bartocci, T. A. Henzinger, D. Nickovic, and A. Oliveira da Costa, “Hypernode
automata,” in 34th International Conference on Concurrency Theory, Antwerp,
Belgium, 2023, vol. 279.
ista: 'Bartocci E, Henzinger TA, Nickovic D, Oliveira da Costa A. 2023. Hypernode
automata. 34th International Conference on Concurrency Theory. CONCUR: Conference
on Concurrency Theory, LIPIcs, vol. 279, 21.'
mla: Bartocci, Ezio, et al. “Hypernode Automata.” 34th International Conference
on Concurrency Theory, vol. 279, 21, Schloss Dagstuhl - Leibniz-Zentrum für
Informatik, 2023, doi:10.4230/LIPIcs.CONCUR.2023.21.
short: E. Bartocci, T.A. Henzinger, D. Nickovic, A. Oliveira da Costa, in:, 34th
International Conference on Concurrency Theory, Schloss Dagstuhl - Leibniz-Zentrum
für Informatik, 2023.
conference:
end_date: 2023-09-22
location: Antwerp, Belgium
name: 'CONCUR: Conference on Concurrency Theory'
start_date: 2023-09-19
date_created: 2023-10-08T22:01:16Z
date_published: 2023-09-01T00:00:00Z
date_updated: 2023-10-09T07:43:44Z
day: '01'
ddc:
- '000'
department:
- _id: ToHe
doi: 10.4230/LIPIcs.CONCUR.2023.21
ec_funded: 1
external_id:
arxiv:
- '2305.02836'
file:
- access_level: open_access
checksum: 215765e40454d806174ac0a223e8d6fa
content_type: application/pdf
creator: dernst
date_created: 2023-10-09T07:42:45Z
date_updated: 2023-10-09T07:42:45Z
file_id: '14413'
file_name: 2023_LIPcs_Bartocci.pdf
file_size: 795790
relation: main_file
success: 1
file_date_updated: 2023-10-09T07:42:45Z
has_accepted_license: '1'
intvolume: ' 279'
language:
- iso: eng
month: '09'
oa: 1
oa_version: Published Version
project:
- _id: 62781420-2b32-11ec-9570-8d9b63373d4d
call_identifier: H2020
grant_number: '101020093'
name: Vigilant Algorithmic Monitoring of Software
publication: 34th International Conference on Concurrency Theory
publication_identifier:
isbn:
- '9783959772990'
issn:
- '18688969'
publication_status: published
publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik
quality_controlled: '1'
scopus_import: '1'
status: public
title: Hypernode 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: 279
year: '2023'
...
---
_id: '14086'
abstract:
- lang: eng
text: "The maximization of submodular functions have found widespread application
in areas such as machine learning, combinatorial optimization, and economics,
where practitioners often wish to enforce various constraints; the matroid constraint
has been investigated extensively due to its algorithmic properties and expressive
power. Though tight approximation algorithms for general matroid constraints exist
in theory, the running times of such algorithms typically scale quadratically,
and are not practical for truly large scale settings. Recent progress has focused
on fast algorithms for important classes of matroids given in explicit form. Currently,
nearly-linear time algorithms only exist for graphic and partition matroids [Alina
Ene and Huy L. Nguyen, 2019]. In this work, we develop algorithms for monotone
submodular maximization constrained by graphic, transversal matroids, or laminar
matroids in time near-linear in the size of their representation. Our algorithms
achieve an optimal approximation of 1-1/e-ε and both generalize and accelerate
the results of Ene and Nguyen [Alina Ene and Huy L. Nguyen, 2019]. In fact, the
running time of our algorithm cannot be improved within the fast continuous greedy
framework of Badanidiyuru and Vondrák [Ashwinkumar Badanidiyuru and Jan Vondrák,
2014].\r\nTo achieve near-linear running time, we make use of dynamic data structures
that maintain bases with approximate maximum cardinality and weight under certain
element updates. These data structures need to support a weight decrease operation
and a novel Freeze operation that allows the algorithm to freeze elements (i.e.
force to be contained) in its basis regardless of future data structure operations.
For the laminar matroid, we present a new dynamic data structure using the top
tree interface of Alstrup, Holm, de Lichtenberg, and Thorup [Stephen Alstrup et
al., 2005] that maintains the maximum weight basis under insertions and deletions
of elements in O(log n) time. This data structure needs to support certain subtree
query and path update operations that are performed every insertion and deletion
that are non-trivial to handle in conjunction. For the transversal matroid the
Freeze operation corresponds to requiring the data structure to keep a certain
set S of vertices matched, a property that we call S-stability. While there is
a large body of work on dynamic matching algorithms, none are S-stable and maintain
an approximate maximum weight matching under vertex updates. We give the first
such algorithm for bipartite graphs with total running time linear (up to log
factors) in the number of edges."
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
“Static and Dynamic Hierarchical Graph Decompositions”, I 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. Jan Vondrák: Supported by
NSF Award 2127781."
alternative_title:
- LIPIcs
article_number: '74'
article_processing_charge: Yes
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: Paul
full_name: Liu, Paul
last_name: Liu
- first_name: Jan
full_name: Vondrák, Jan
last_name: Vondrák
- first_name: Da Wei
full_name: Zheng, Da Wei
last_name: Zheng
citation:
ama: 'Henzinger MH, Liu P, Vondrák J, Zheng DW. Faster submodular maximization for
several classes of matroids. In: 50th International Colloquium on Automata,
Languages, and Programming. Vol 261. Schloss Dagstuhl - Leibniz-Zentrum für
Informatik; 2023. doi:10.4230/LIPIcs.ICALP.2023.74'
apa: 'Henzinger, M. H., Liu, P., Vondrák, J., & Zheng, D. W. (2023). Faster
submodular maximization for several classes of matroids. In 50th International
Colloquium on Automata, Languages, and Programming (Vol. 261). Paderborn,
Germany: Schloss Dagstuhl - Leibniz-Zentrum für Informatik. https://doi.org/10.4230/LIPIcs.ICALP.2023.74'
chicago: Henzinger, Monika H, Paul Liu, Jan Vondrák, and Da Wei Zheng. “Faster Submodular
Maximization for Several Classes of Matroids.” In 50th International Colloquium
on Automata, Languages, and Programming, Vol. 261. Schloss Dagstuhl - Leibniz-Zentrum
für Informatik, 2023. https://doi.org/10.4230/LIPIcs.ICALP.2023.74.
ieee: M. H. Henzinger, P. Liu, J. Vondrák, and D. W. Zheng, “Faster submodular maximization
for several classes of matroids,” in 50th International Colloquium on Automata,
Languages, and Programming, Paderborn, Germany, 2023, vol. 261.
ista: 'Henzinger MH, Liu P, Vondrák J, Zheng DW. 2023. Faster submodular maximization
for several classes of matroids. 50th International Colloquium on Automata, Languages,
and Programming. ICALP: International Colloquium on Automata, Languages, and Programming,
LIPIcs, vol. 261, 74.'
mla: Henzinger, Monika H., et al. “Faster Submodular Maximization for Several Classes
of Matroids.” 50th International Colloquium on Automata, Languages, and Programming,
vol. 261, 74, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2023, doi:10.4230/LIPIcs.ICALP.2023.74.
short: M.H. Henzinger, P. Liu, J. Vondrák, D.W. Zheng, 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: 2023-08-21T07:05:47Z
day: '01'
ddc:
- '000'
department:
- _id: MoHe
doi: 10.4230/LIPIcs.ICALP.2023.74
ec_funded: 1
external_id:
arxiv:
- '2305.00122'
file:
- access_level: open_access
checksum: a5eef225014e003efbfbe4830fdd23cb
content_type: application/pdf
creator: dernst
date_created: 2023-08-21T07:04:36Z
date_updated: 2023-08-21T07:04:36Z
file_id: '14090'
file_name: 2023_LIPIcsICALP_HenzingerM.pdf
file_size: 930943
relation: main_file
success: 1
file_date_updated: 2023-08-21T07:04:36Z
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:
- '18688969'
publication_status: published
publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik
quality_controlled: '1'
scopus_import: '1'
status: public
title: Faster submodular maximization for several classes of matroids
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: '9604'
abstract:
- lang: eng
text: Generalizing Lee’s inductive argument for counting the cells of higher order
Voronoi tessellations in ℝ² to ℝ³, we get precise relations in terms of Morse
theoretic quantities for piecewise constant functions on planar arrangements.
Specifically, we prove that for a generic set of n ≥ 5 points in ℝ³, the number
of regions in the order-k Voronoi tessellation is N_{k-1} - binom(k,2)n + n, for
1 ≤ k ≤ n-1, in which N_{k-1} is the sum of Euler characteristics of these function’s
first k-1 sublevel sets. We get similar expressions for the vertices, edges, and
polygons of the order-k Voronoi tessellation.
alternative_title:
- LIPIcs
article_number: '16'
article_processing_charge: No
author:
- first_name: Ranita
full_name: Biswas, Ranita
id: 3C2B033E-F248-11E8-B48F-1D18A9856A87
last_name: Biswas
orcid: 0000-0002-5372-7890
- first_name: Sebastiano
full_name: Cultrera di Montesano, Sebastiano
id: 34D2A09C-F248-11E8-B48F-1D18A9856A87
last_name: Cultrera di Montesano
orcid: 0000-0001-6249-0832
- first_name: Herbert
full_name: Edelsbrunner, Herbert
id: 3FB178DA-F248-11E8-B48F-1D18A9856A87
last_name: Edelsbrunner
orcid: 0000-0002-9823-6833
- first_name: Morteza
full_name: Saghafian, Morteza
last_name: Saghafian
citation:
ama: 'Biswas R, Cultrera di Montesano S, Edelsbrunner H, Saghafian M. Counting cells
of order-k voronoi tessellations in ℝ3 with morse theory. In: Leibniz
International Proceedings in Informatics. Vol 189. Schloss Dagstuhl - Leibniz-Zentrum
für Informatik; 2021. doi:10.4230/LIPIcs.SoCG.2021.16'
apa: 'Biswas, R., Cultrera di Montesano, S., Edelsbrunner, H., & Saghafian,
M. (2021). Counting cells of order-k voronoi tessellations in ℝ3 with
morse theory. In Leibniz International Proceedings in Informatics (Vol.
189). Online: Schloss Dagstuhl - Leibniz-Zentrum für Informatik. https://doi.org/10.4230/LIPIcs.SoCG.2021.16'
chicago: Biswas, Ranita, Sebastiano Cultrera di Montesano, Herbert Edelsbrunner,
and Morteza Saghafian. “Counting Cells of Order-k Voronoi Tessellations in ℝ3
with Morse Theory.” In Leibniz International Proceedings in Informatics,
Vol. 189. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2021. https://doi.org/10.4230/LIPIcs.SoCG.2021.16.
ieee: R. Biswas, S. Cultrera di Montesano, H. Edelsbrunner, and M. Saghafian, “Counting
cells of order-k voronoi tessellations in ℝ3 with morse theory,” in
Leibniz International Proceedings in Informatics, Online, 2021, vol. 189.
ista: 'Biswas R, Cultrera di Montesano S, Edelsbrunner H, Saghafian M. 2021. Counting
cells of order-k voronoi tessellations in ℝ3 with morse theory. Leibniz
International Proceedings in Informatics. SoCG: International Symposium on Computational
Geometry, LIPIcs, vol. 189, 16.'
mla: Biswas, Ranita, et al. “Counting Cells of Order-k Voronoi Tessellations in
ℝ3 with Morse Theory.” Leibniz International Proceedings in Informatics,
vol. 189, 16, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2021, doi:10.4230/LIPIcs.SoCG.2021.16.
short: R. Biswas, S. Cultrera di Montesano, H. Edelsbrunner, M. Saghafian, in:,
Leibniz International Proceedings in Informatics, Schloss Dagstuhl - Leibniz-Zentrum
für Informatik, 2021.
conference:
end_date: 2021-06-11
location: Online
name: 'SoCG: International Symposium on Computational Geometry'
start_date: 2021-06-07
date_created: 2021-06-27T22:01:48Z
date_published: 2021-06-02T00:00:00Z
date_updated: 2023-02-23T14:02:28Z
day: '02'
ddc:
- '516'
department:
- _id: HeEd
doi: 10.4230/LIPIcs.SoCG.2021.16
ec_funded: 1
file:
- access_level: open_access
checksum: 22b11a719018b22ecba2471b51f2eb40
content_type: application/pdf
creator: asandaue
date_created: 2021-06-28T13:11:39Z
date_updated: 2021-06-28T13:11:39Z
file_id: '9611'
file_name: 2021_LIPIcs_Biswas.pdf
file_size: 727817
relation: main_file
success: 1
file_date_updated: 2021-06-28T13:11:39Z
has_accepted_license: '1'
intvolume: ' 189'
language:
- iso: eng
month: '06'
oa: 1
oa_version: Published Version
project:
- _id: 266A2E9E-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '788183'
name: Alpha Shape Theory Extended
- _id: 268116B8-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: Z00342
name: The Wittgenstein Prize
- _id: 0aa4bc98-070f-11eb-9043-e6fff9c6a316
grant_number: I4887
name: Discretization in Geometry and Dynamics
publication: Leibniz International Proceedings in Informatics
publication_identifier:
isbn:
- '9783959771849'
issn:
- '18688969'
publication_status: published
publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik
quality_controlled: '1'
scopus_import: '1'
status: public
title: Counting cells of order-k voronoi tessellations in ℝ3 with morse
theory
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: '9605'
abstract:
- lang: eng
text: 'Given a finite set A ⊂ ℝ^d, let Cov_{r,k} denote the set of all points within
distance r to at least k points of A. Allowing r and k to vary, we obtain a 2-parameter
family of spaces that grow larger when r increases or k decreases, called the
multicover bifiltration. Motivated by the problem of computing the homology of
this bifiltration, we introduce two closely related combinatorial bifiltrations,
one polyhedral and the other simplicial, which are both topologically equivalent
to the multicover bifiltration and far smaller than a Čech-based model considered
in prior work of Sheehy. Our polyhedral construction is a bifiltration of the
rhomboid tiling of Edelsbrunner and Osang, and can be efficiently computed using
a variant of an algorithm given by these authors as well. Using an implementation
for dimension 2 and 3, we provide experimental results. Our simplicial construction
is useful for understanding the polyhedral construction and proving its correctness. '
acknowledgement: The authors want to thank the reviewers for many helpful comments
and suggestions.
alternative_title:
- LIPIcs
article_number: '27'
article_processing_charge: No
arxiv: 1
author:
- first_name: René
full_name: Corbet, René
last_name: Corbet
- first_name: Michael
full_name: Kerber, Michael
last_name: Kerber
- first_name: Michael
full_name: Lesnick, Michael
last_name: Lesnick
- first_name: Georg F
full_name: Osang, Georg F
id: 464B40D6-F248-11E8-B48F-1D18A9856A87
last_name: Osang
orcid: 0000-0002-8882-5116
citation:
ama: 'Corbet R, Kerber M, Lesnick M, Osang GF. Computing the multicover bifiltration.
In: Leibniz International Proceedings in Informatics. Vol 189. Schloss
Dagstuhl - Leibniz-Zentrum für Informatik; 2021. doi:10.4230/LIPIcs.SoCG.2021.27'
apa: 'Corbet, R., Kerber, M., Lesnick, M., & Osang, G. F. (2021). Computing
the multicover bifiltration. In Leibniz International Proceedings in Informatics
(Vol. 189). Online: Schloss Dagstuhl - Leibniz-Zentrum für Informatik. https://doi.org/10.4230/LIPIcs.SoCG.2021.27'
chicago: Corbet, René, Michael Kerber, Michael Lesnick, and Georg F Osang. “Computing
the Multicover Bifiltration.” In Leibniz International Proceedings in Informatics,
Vol. 189. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2021. https://doi.org/10.4230/LIPIcs.SoCG.2021.27.
ieee: R. Corbet, M. Kerber, M. Lesnick, and G. F. Osang, “Computing the multicover
bifiltration,” in Leibniz International Proceedings in Informatics, Online,
2021, vol. 189.
ista: 'Corbet R, Kerber M, Lesnick M, Osang GF. 2021. Computing the multicover bifiltration.
Leibniz International Proceedings in Informatics. SoCG: International Symposium
on Computational Geometry, LIPIcs, vol. 189, 27.'
mla: Corbet, René, et al. “Computing the Multicover Bifiltration.” Leibniz International
Proceedings in Informatics, vol. 189, 27, Schloss Dagstuhl - Leibniz-Zentrum
für Informatik, 2021, doi:10.4230/LIPIcs.SoCG.2021.27.
short: R. Corbet, M. Kerber, M. Lesnick, G.F. Osang, in:, Leibniz International
Proceedings in Informatics, Schloss Dagstuhl - Leibniz-Zentrum für Informatik,
2021.
conference:
end_date: 2021-06-11
location: Online
name: 'SoCG: International Symposium on Computational Geometry'
start_date: 2021-06-07
date_created: 2021-06-27T22:01:49Z
date_published: 2021-06-02T00:00:00Z
date_updated: 2023-10-04T12:03:39Z
day: '02'
ddc:
- '516'
department:
- _id: HeEd
doi: 10.4230/LIPIcs.SoCG.2021.27
external_id:
arxiv:
- '2103.07823'
file:
- access_level: open_access
checksum: 0de217501e7ba8b267d58deed0d51761
content_type: application/pdf
creator: cziletti
date_created: 2021-06-28T12:40:47Z
date_updated: 2021-06-28T12:40:47Z
file_id: '9610'
file_name: 2021_LIPIcs_Corbet.pdf
file_size: '1367983'
relation: main_file
success: 1
file_date_updated: 2021-06-28T12:40:47Z
has_accepted_license: '1'
intvolume: ' 189'
language:
- iso: eng
month: '06'
oa: 1
oa_version: Published Version
publication: Leibniz International Proceedings in Informatics
publication_identifier:
isbn:
- '9783959771849'
issn:
- '18688969'
publication_status: published
publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik
quality_controlled: '1'
related_material:
link:
- relation: extended_version
url: https://arxiv.org/abs/2103.07823
record:
- id: '12709'
relation: later_version
status: public
scopus_import: '1'
status: public
title: Computing the multicover bifiltration
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: '7989'
abstract:
- lang: eng
text: 'We prove general topological Radon-type theorems for sets in ℝ^d, smooth
real manifolds or finite dimensional simplicial complexes. Combined with a recent
result of Holmsen and Lee, it gives fractional Helly theorem, and consequently
the existence of weak ε-nets as well as a (p,q)-theorem. More precisely: Let X
be either ℝ^d, smooth real d-manifold, or a finite d-dimensional simplicial complex.
Then if F is a finite, intersection-closed family of sets in X such that the ith
reduced Betti number (with ℤ₂ coefficients) of any set in F is at most b for every
non-negative integer i less or equal to k, then the Radon number of F is bounded
in terms of b and X. Here k is the smallest integer larger or equal to d/2 - 1
if X = ℝ^d; k=d-1 if X is a smooth real d-manifold and not a surface, k=0 if X
is a surface and k=d if X is a d-dimensional simplicial complex. Using the recent
result of the author and Kalai, we manage to prove the following optimal bound
on fractional Helly number for families of open sets in a surface: Let F be a
finite family of open sets in a surface S such that the intersection of any subfamily
of F is either empty, or path-connected. Then the fractional Helly number of F
is at most three. This also settles a conjecture of Holmsen, Kim, and Lee about
an existence of a (p,q)-theorem for open subsets of a surface.'
alternative_title:
- LIPIcs
article_number: 61:1-61:13
article_processing_charge: No
arxiv: 1
author:
- first_name: Zuzana
full_name: Patakova, Zuzana
id: 48B57058-F248-11E8-B48F-1D18A9856A87
last_name: Patakova
orcid: 0000-0002-3975-1683
citation:
ama: 'Patakova Z. Bounding radon number via Betti numbers. In: 36th International
Symposium on Computational Geometry. Vol 164. Schloss Dagstuhl - Leibniz-Zentrum
für Informatik; 2020. doi:10.4230/LIPIcs.SoCG.2020.61'
apa: 'Patakova, Z. (2020). Bounding radon number via Betti numbers. In 36th International
Symposium on Computational Geometry (Vol. 164). Zürich, Switzerland: Schloss
Dagstuhl - Leibniz-Zentrum für Informatik. https://doi.org/10.4230/LIPIcs.SoCG.2020.61'
chicago: Patakova, Zuzana. “Bounding Radon Number via Betti Numbers.” In 36th
International Symposium on Computational Geometry, Vol. 164. Schloss Dagstuhl
- Leibniz-Zentrum für Informatik, 2020. https://doi.org/10.4230/LIPIcs.SoCG.2020.61.
ieee: Z. Patakova, “Bounding radon number via Betti numbers,” in 36th International
Symposium on Computational Geometry, Zürich, Switzerland, 2020, vol. 164.
ista: 'Patakova Z. 2020. Bounding radon number via Betti numbers. 36th International
Symposium on Computational Geometry. SoCG: Symposium on Computational Geometry,
LIPIcs, vol. 164, 61:1-61:13.'
mla: Patakova, Zuzana. “Bounding Radon Number via Betti Numbers.” 36th International
Symposium on Computational Geometry, vol. 164, 61:1-61:13, Schloss Dagstuhl
- Leibniz-Zentrum für Informatik, 2020, doi:10.4230/LIPIcs.SoCG.2020.61.
short: Z. Patakova, in:, 36th International Symposium on Computational Geometry,
Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2020.
conference:
end_date: 2020-06-26
location: Zürich, Switzerland
name: 'SoCG: Symposium on Computational Geometry'
start_date: 2020-06-22
date_created: 2020-06-22T09:14:18Z
date_published: 2020-06-01T00:00:00Z
date_updated: 2021-01-12T08:16:22Z
day: '01'
ddc:
- '510'
department:
- _id: UlWa
doi: 10.4230/LIPIcs.SoCG.2020.61
external_id:
arxiv:
- '1908.01677'
file:
- access_level: open_access
checksum: d0996ca5f6eb32ce955ce782b4f2afbe
content_type: application/pdf
creator: dernst
date_created: 2020-06-23T06:56:23Z
date_updated: 2020-07-14T12:48:06Z
file_id: '8005'
file_name: 2020_LIPIcsSoCG_Patakova_61.pdf
file_size: 645421
relation: main_file
file_date_updated: 2020-07-14T12:48:06Z
has_accepted_license: '1'
intvolume: ' 164'
language:
- iso: eng
month: '06'
oa: 1
oa_version: Published Version
publication: 36th International Symposium on Computational Geometry
publication_identifier:
isbn:
- '9783959771436'
issn:
- '18688969'
publication_status: published
publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik
quality_controlled: '1'
scopus_import: '1'
status: public
title: Bounding radon number via Betti numbers
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: 164
year: '2020'
...
---
_id: '7990'
abstract:
- lang: eng
text: 'Given a finite point set P in general position in the plane, a full triangulation
is a maximal straight-line embedded plane graph on P. A partial triangulation
on P is a full triangulation of some subset P'' of P containing all extreme points
in P. A bistellar flip on a partial triangulation either flips an edge, removes
a non-extreme point of degree 3, or adds a point in P ⧵ P'' as vertex of degree
3. The bistellar flip graph has all partial triangulations as vertices, and a
pair of partial triangulations is adjacent if they can be obtained from one another
by a bistellar flip. The goal of this paper is to investigate the structure of
this graph, with emphasis on its connectivity. For sets P of n points in general
position, we show that the bistellar flip graph is (n-3)-connected, thereby answering,
for sets in general position, an open questions raised in a book (by De Loera,
Rambau, and Santos) and a survey (by Lee and Santos) on triangulations. This matches
the situation for the subfamily of regular triangulations (i.e., partial triangulations
obtained by lifting the points and projecting the lower convex hull), where (n-3)-connectivity
has been known since the late 1980s through the secondary polytope (Gelfand, Kapranov,
Zelevinsky) and Balinski’s Theorem. Our methods also yield the following results
(see the full version [Wagner and Welzl, 2020]): (i) The bistellar flip graph
can be covered by graphs of polytopes of dimension n-3 (products of secondary
polytopes). (ii) A partial triangulation is regular, if it has distance n-3 in
the Hasse diagram of the partial order of partial subdivisions from the trivial
subdivision. (iii) All partial triangulations are regular iff the trivial subdivision
has height n-3 in the partial order of partial subdivisions. (iv) There are arbitrarily
large sets P with non-regular partial triangulations, while every proper subset
has only regular triangulations, i.e., there are no small certificates for the
existence of non-regular partial triangulations (answering a question by F. Santos
in the unexpected direction).'
alternative_title:
- LIPIcs
article_number: 67:1 - 67:16
article_processing_charge: No
arxiv: 1
author:
- first_name: Uli
full_name: Wagner, Uli
id: 36690CA2-F248-11E8-B48F-1D18A9856A87
last_name: Wagner
orcid: 0000-0002-1494-0568
- first_name: Emo
full_name: Welzl, Emo
last_name: Welzl
citation:
ama: 'Wagner U, Welzl E. Connectivity of triangulation flip graphs in the plane
(Part II: Bistellar flips). In: 36th International Symposium on Computational
Geometry. Vol 164. Schloss Dagstuhl - Leibniz-Zentrum für Informatik; 2020.
doi:10.4230/LIPIcs.SoCG.2020.67'
apa: 'Wagner, U., & Welzl, E. (2020). Connectivity of triangulation flip graphs
in the plane (Part II: Bistellar flips). In 36th International Symposium on
Computational Geometry (Vol. 164). Zürich, Switzerland: Schloss Dagstuhl -
Leibniz-Zentrum für Informatik. https://doi.org/10.4230/LIPIcs.SoCG.2020.67'
chicago: 'Wagner, Uli, and Emo Welzl. “Connectivity of Triangulation Flip Graphs
in the Plane (Part II: Bistellar Flips).” In 36th International Symposium on
Computational Geometry, Vol. 164. Schloss Dagstuhl - Leibniz-Zentrum für Informatik,
2020. https://doi.org/10.4230/LIPIcs.SoCG.2020.67.'
ieee: 'U. Wagner and E. Welzl, “Connectivity of triangulation flip graphs in the
plane (Part II: Bistellar flips),” in 36th International Symposium on Computational
Geometry, Zürich, Switzerland, 2020, vol. 164.'
ista: 'Wagner U, Welzl E. 2020. Connectivity of triangulation flip graphs in the
plane (Part II: Bistellar flips). 36th International Symposium on Computational
Geometry. SoCG: Symposium on Computational Geometry, LIPIcs, vol. 164, 67:1-67:16.'
mla: 'Wagner, Uli, and Emo Welzl. “Connectivity of Triangulation Flip Graphs in
the Plane (Part II: Bistellar Flips).” 36th International Symposium on Computational
Geometry, vol. 164, 67:1-67:16, Schloss Dagstuhl - Leibniz-Zentrum für Informatik,
2020, doi:10.4230/LIPIcs.SoCG.2020.67.'
short: U. Wagner, E. Welzl, in:, 36th International Symposium on Computational Geometry,
Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2020.
conference:
end_date: 2020-06-26
location: Zürich, Switzerland
name: 'SoCG: Symposium on Computational Geometry'
start_date: 2020-06-22
date_created: 2020-06-22T09:14:19Z
date_published: 2020-06-01T00:00:00Z
date_updated: 2023-08-04T08:51:07Z
day: '01'
ddc:
- '510'
department:
- _id: UlWa
doi: 10.4230/LIPIcs.SoCG.2020.67
external_id:
arxiv:
- '2003.13557'
file:
- access_level: open_access
checksum: 3f6925be5f3dcdb3b14cab92f410edf7
content_type: application/pdf
creator: dernst
date_created: 2020-06-23T06:37:27Z
date_updated: 2020-07-14T12:48:06Z
file_id: '8003'
file_name: 2020_LIPIcsSoCG_Wagner.pdf
file_size: 793187
relation: main_file
file_date_updated: 2020-07-14T12:48:06Z
has_accepted_license: '1'
intvolume: ' 164'
language:
- iso: eng
month: '06'
oa: 1
oa_version: Published Version
publication: 36th International Symposium on Computational Geometry
publication_identifier:
isbn:
- '9783959771436'
issn:
- '18688969'
publication_status: published
publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik
quality_controlled: '1'
related_material:
record:
- id: '12129'
relation: later_version
status: public
scopus_import: 1
status: public
title: 'Connectivity of triangulation flip graphs in the plane (Part II: Bistellar
flips)'
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: 164
year: '2020'
...
---
_id: '7991'
abstract:
- lang: eng
text: 'We define and study a discrete process that generalizes the convex-layer
decomposition of a planar point set. Our process, which we call homotopic curve
shortening (HCS), starts with a closed curve (which might self-intersect) in the
presence of a set P⊂ ℝ² of point obstacles, and evolves in discrete steps, where
each step consists of (1) taking shortcuts around the obstacles, and (2) reducing
the curve to its shortest homotopic equivalent. We find experimentally that, if
the initial curve is held fixed and P is chosen to be either a very fine regular
grid or a uniformly random point set, then HCS behaves at the limit like the affine
curve-shortening flow (ACSF). This connection between HCS and ACSF generalizes
the link between "grid peeling" and the ACSF observed by Eppstein et al. (2017),
which applied only to convex curves, and which was studied only for regular grids.
We prove that HCS satisfies some properties analogous to those of ACSF: HCS is
invariant under affine transformations, preserves convexity, and does not increase
the total absolute curvature. Furthermore, the number of self-intersections of
a curve, or intersections between two curves (appropriately defined), does not
increase. Finally, if the initial curve is simple, then the number of inflection
points (appropriately defined) does not increase.'
alternative_title:
- LIPIcs
article_number: 12:1 - 12:15
article_processing_charge: No
arxiv: 1
author:
- first_name: Sergey
full_name: Avvakumov, Sergey
id: 3827DAC8-F248-11E8-B48F-1D18A9856A87
last_name: Avvakumov
- first_name: Gabriel
full_name: Nivasch, Gabriel
last_name: Nivasch
citation:
ama: 'Avvakumov S, Nivasch G. Homotopic curve shortening and the affine curve-shortening
flow. In: 36th International Symposium on Computational Geometry. Vol 164.
Schloss Dagstuhl - Leibniz-Zentrum für Informatik; 2020. doi:10.4230/LIPIcs.SoCG.2020.12'
apa: 'Avvakumov, S., & Nivasch, G. (2020). Homotopic curve shortening and the
affine curve-shortening flow. In 36th International Symposium on Computational
Geometry (Vol. 164). Zürich, Switzerland: Schloss Dagstuhl - Leibniz-Zentrum
für Informatik. https://doi.org/10.4230/LIPIcs.SoCG.2020.12'
chicago: Avvakumov, Sergey, and Gabriel Nivasch. “Homotopic Curve Shortening and
the Affine Curve-Shortening Flow.” In 36th International Symposium on Computational
Geometry, Vol. 164. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2020.
https://doi.org/10.4230/LIPIcs.SoCG.2020.12.
ieee: S. Avvakumov and G. Nivasch, “Homotopic curve shortening and the affine curve-shortening
flow,” in 36th International Symposium on Computational Geometry, Zürich,
Switzerland, 2020, vol. 164.
ista: 'Avvakumov S, Nivasch G. 2020. Homotopic curve shortening and the affine curve-shortening
flow. 36th International Symposium on Computational Geometry. SoCG: Symposium
on Computational Geometry, LIPIcs, vol. 164, 12:1-12:15.'
mla: Avvakumov, Sergey, and Gabriel Nivasch. “Homotopic Curve Shortening and the
Affine Curve-Shortening Flow.” 36th International Symposium on Computational
Geometry, vol. 164, 12:1-12:15, Schloss Dagstuhl - Leibniz-Zentrum für Informatik,
2020, doi:10.4230/LIPIcs.SoCG.2020.12.
short: S. Avvakumov, G. Nivasch, in:, 36th International Symposium on Computational
Geometry, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2020.
conference:
end_date: 2020-06-26
location: Zürich, Switzerland
name: 'SoCG: Symposium on Computational Geometry'
start_date: 2020-06-22
date_created: 2020-06-22T09:14:19Z
date_published: 2020-06-01T00:00:00Z
date_updated: 2021-01-12T08:16:23Z
day: '01'
ddc:
- '510'
department:
- _id: UlWa
doi: 10.4230/LIPIcs.SoCG.2020.12
external_id:
arxiv:
- '1909.00263'
file:
- access_level: open_access
checksum: 6872df6549142f709fb6354a1b2f2c06
content_type: application/pdf
creator: dernst
date_created: 2020-06-23T11:13:49Z
date_updated: 2020-07-14T12:48:06Z
file_id: '8007'
file_name: 2020_LIPIcsSoCG_Avvakumov.pdf
file_size: 575896
relation: main_file
file_date_updated: 2020-07-14T12:48:06Z
has_accepted_license: '1'
intvolume: ' 164'
language:
- iso: eng
month: '06'
oa: 1
oa_version: Published Version
project:
- _id: 26611F5C-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: P31312
name: Algorithms for Embeddings and Homotopy Theory
publication: 36th International Symposium on Computational Geometry
publication_identifier:
isbn:
- '9783959771436'
issn:
- '18688969'
publication_status: published
publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik
quality_controlled: '1'
scopus_import: '1'
status: public
title: Homotopic curve shortening and the affine curve-shortening flow
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/3.0/legalcode
name: Creative Commons Attribution 3.0 Unported (CC BY 3.0)
short: CC BY (3.0)
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 164
year: '2020'
...
---
_id: '7992'
abstract:
- lang: eng
text: 'Let K be a convex body in ℝⁿ (i.e., a compact convex set with nonempty interior).
Given a point p in the interior of K, a hyperplane h passing through p is called
barycentric if p is the barycenter of K ∩ h. In 1961, Grünbaum raised the question
whether, for every K, there exists an interior point p through which there are
at least n+1 distinct barycentric hyperplanes. Two years later, this was seemingly
resolved affirmatively by showing that this is the case if p=p₀ is the point of
maximal depth in K. However, while working on a related question, we noticed that
one of the auxiliary claims in the proof is incorrect. Here, we provide a counterexample;
this re-opens Grünbaum’s question. It follows from known results that for n ≥
2, there are always at least three distinct barycentric cuts through the point
p₀ ∈ K of maximal depth. Using tools related to Morse theory we are able to improve
this bound: four distinct barycentric cuts through p₀ are guaranteed if n ≥ 3.'
alternative_title:
- LIPIcs
article_number: 62:1 - 62:16
article_processing_charge: No
arxiv: 1
author:
- first_name: Zuzana
full_name: Patakova, Zuzana
id: 48B57058-F248-11E8-B48F-1D18A9856A87
last_name: Patakova
orcid: 0000-0002-3975-1683
- first_name: Martin
full_name: Tancer, Martin
id: 38AC689C-F248-11E8-B48F-1D18A9856A87
last_name: Tancer
orcid: 0000-0002-1191-6714
- first_name: Uli
full_name: Wagner, Uli
id: 36690CA2-F248-11E8-B48F-1D18A9856A87
last_name: Wagner
orcid: 0000-0002-1494-0568
citation:
ama: 'Patakova Z, Tancer M, Wagner U. Barycentric cuts through a convex body. In:
36th International Symposium on Computational Geometry. Vol 164. Schloss
Dagstuhl - Leibniz-Zentrum für Informatik; 2020. doi:10.4230/LIPIcs.SoCG.2020.62'
apa: 'Patakova, Z., Tancer, M., & Wagner, U. (2020). Barycentric cuts through
a convex body. In 36th International Symposium on Computational Geometry
(Vol. 164). Zürich, Switzerland: Schloss Dagstuhl - Leibniz-Zentrum für Informatik.
https://doi.org/10.4230/LIPIcs.SoCG.2020.62'
chicago: Patakova, Zuzana, Martin Tancer, and Uli Wagner. “Barycentric Cuts through
a Convex Body.” In 36th International Symposium on Computational Geometry,
Vol. 164. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2020. https://doi.org/10.4230/LIPIcs.SoCG.2020.62.
ieee: Z. Patakova, M. Tancer, and U. Wagner, “Barycentric cuts through a convex
body,” in 36th International Symposium on Computational Geometry, Zürich,
Switzerland, 2020, vol. 164.
ista: 'Patakova Z, Tancer M, Wagner U. 2020. Barycentric cuts through a convex body.
36th International Symposium on Computational Geometry. SoCG: Symposium on Computational
Geometry, LIPIcs, vol. 164, 62:1-62:16.'
mla: Patakova, Zuzana, et al. “Barycentric Cuts through a Convex Body.” 36th
International Symposium on Computational Geometry, vol. 164, 62:1-62:16, Schloss
Dagstuhl - Leibniz-Zentrum für Informatik, 2020, doi:10.4230/LIPIcs.SoCG.2020.62.
short: Z. Patakova, M. Tancer, U. Wagner, in:, 36th International Symposium on Computational
Geometry, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2020.
conference:
end_date: 2020-06-26
location: Zürich, Switzerland
name: 'SoCG: Symposium on Computational Geometry'
start_date: 2020-06-22
date_created: 2020-06-22T09:14:20Z
date_published: 2020-06-01T00:00:00Z
date_updated: 2021-01-12T08:16:23Z
day: '01'
ddc:
- '510'
department:
- _id: UlWa
doi: 10.4230/LIPIcs.SoCG.2020.62
external_id:
arxiv:
- '2003.13536'
file:
- access_level: open_access
checksum: ce1c9194139a664fb59d1efdfc88eaae
content_type: application/pdf
creator: dernst
date_created: 2020-06-23T06:45:52Z
date_updated: 2020-07-14T12:48:06Z
file_id: '8004'
file_name: 2020_LIPIcsSoCG_Patakova.pdf
file_size: 750318
relation: main_file
file_date_updated: 2020-07-14T12:48:06Z
has_accepted_license: '1'
intvolume: ' 164'
language:
- iso: eng
month: '06'
oa: 1
oa_version: Published Version
publication: 36th International Symposium on Computational Geometry
publication_identifier:
isbn:
- '9783959771436'
issn:
- '18688969'
publication_status: published
publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik
quality_controlled: '1'
scopus_import: 1
status: public
title: Barycentric cuts through a convex body
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: 164
year: '2020'
...
---
_id: '7994'
abstract:
- lang: eng
text: In the recent study of crossing numbers, drawings of graphs that can be extended
to an arrangement of pseudolines (pseudolinear drawings) have played an important
role as they are a natural combinatorial extension of rectilinear (or straight-line)
drawings. A characterization of the pseudolinear drawings of K_n was found recently.
We extend this characterization to all graphs, by describing the set of minimal
forbidden subdrawings for pseudolinear drawings. Our characterization also leads
to a polynomial-time algorithm to recognize pseudolinear drawings and construct
the pseudolines when it is possible.
alternative_title:
- LIPIcs
article_number: 9:1 - 9:14
article_processing_charge: No
arxiv: 1
author:
- first_name: Alan M
full_name: Arroyo Guevara, Alan M
id: 3207FDC6-F248-11E8-B48F-1D18A9856A87
last_name: Arroyo Guevara
orcid: 0000-0003-2401-8670
- first_name: Julien
full_name: Bensmail, Julien
last_name: Bensmail
- first_name: R.
full_name: Bruce Richter, R.
last_name: Bruce Richter
citation:
ama: 'Arroyo Guevara AM, Bensmail J, Bruce Richter R. Extending drawings of graphs
to arrangements of pseudolines. In: 36th International Symposium on Computational
Geometry. Vol 164. Schloss Dagstuhl - Leibniz-Zentrum für Informatik; 2020.
doi:10.4230/LIPIcs.SoCG.2020.9'
apa: 'Arroyo Guevara, A. M., Bensmail, J., & Bruce Richter, R. (2020). Extending
drawings of graphs to arrangements of pseudolines. In 36th International Symposium
on Computational Geometry (Vol. 164). Zürich, Switzerland: Schloss Dagstuhl
- Leibniz-Zentrum für Informatik. https://doi.org/10.4230/LIPIcs.SoCG.2020.9'
chicago: Arroyo Guevara, Alan M, Julien Bensmail, and R. Bruce Richter. “Extending
Drawings of Graphs to Arrangements of Pseudolines.” In 36th International Symposium
on Computational Geometry, Vol. 164. Schloss Dagstuhl - Leibniz-Zentrum für
Informatik, 2020. https://doi.org/10.4230/LIPIcs.SoCG.2020.9.
ieee: A. M. Arroyo Guevara, J. Bensmail, and R. Bruce Richter, “Extending drawings
of graphs to arrangements of pseudolines,” in 36th International Symposium
on Computational Geometry, Zürich, Switzerland, 2020, vol. 164.
ista: 'Arroyo Guevara AM, Bensmail J, Bruce Richter R. 2020. Extending drawings
of graphs to arrangements of pseudolines. 36th International Symposium on Computational
Geometry. SoCG: Symposium on Computational Geometry, LIPIcs, vol. 164, 9:1-9:14.'
mla: Arroyo Guevara, Alan M., et al. “Extending Drawings of Graphs to Arrangements
of Pseudolines.” 36th International Symposium on Computational Geometry,
vol. 164, 9:1-9:14, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2020, doi:10.4230/LIPIcs.SoCG.2020.9.
short: A.M. Arroyo Guevara, J. Bensmail, R. Bruce Richter, in:, 36th International
Symposium on Computational Geometry, Schloss Dagstuhl - Leibniz-Zentrum für Informatik,
2020.
conference:
end_date: 2020-06-26
location: Zürich, Switzerland
name: 'SoCG: Symposium on Computational Geometry'
start_date: 2020-06-22
date_created: 2020-06-22T09:14:21Z
date_published: 2020-06-01T00:00:00Z
date_updated: 2023-02-23T13:22:12Z
day: '01'
ddc:
- '510'
department:
- _id: UlWa
doi: 10.4230/LIPIcs.SoCG.2020.9
ec_funded: 1
external_id:
arxiv:
- '1804.09317'
file:
- access_level: open_access
checksum: 93571b76cf97d5b7c8aabaeaa694dd7e
content_type: application/pdf
creator: dernst
date_created: 2020-06-23T11:06:23Z
date_updated: 2020-07-14T12:48:06Z
file_id: '8006'
file_name: 2020_LIPIcsSoCG_Arroyo.pdf
file_size: 592661
relation: main_file
file_date_updated: 2020-07-14T12:48:06Z
has_accepted_license: '1'
intvolume: ' 164'
language:
- iso: eng
month: '06'
oa: 1
oa_version: Published Version
project:
- _id: 260C2330-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '754411'
name: ISTplus - Postdoctoral Fellowships
publication: 36th International Symposium on Computational Geometry
publication_identifier:
isbn:
- '9783959771436'
issn:
- '18688969'
publication_status: published
publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik
quality_controlled: '1'
scopus_import: '1'
status: public
title: Extending drawings of graphs to arrangements of pseudolines
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: 164
year: '2020'
...
---
_id: '8533'
abstract:
- lang: eng
text: Game of Life is a simple and elegant model to study dynamical system over
networks. The model consists of a graph where every vertex has one of two types,
namely, dead or alive. A configuration is a mapping of the vertices to the types.
An update rule describes how the type of a vertex is updated given the types of
its neighbors. In every round, all vertices are updated synchronously, which leads
to a configuration update. While in general, Game of Life allows a broad range
of update rules, we focus on two simple families of update rules, namely, underpopulation
and overpopulation, that model several interesting dynamics studied in the literature.
In both settings, a dead vertex requires at least a desired number of live neighbors
to become alive. For underpopulation (resp., overpopulation), a live vertex requires
at least (resp. at most) a desired number of live neighbors to remain alive. We
study the basic computation problems, e.g., configuration reachability, for these
two families of rules. For underpopulation rules, we show that these problems
can be solved in polynomial time, whereas for overpopulation rules they are PSPACE-complete.
acknowledgement: "Krishnendu Chatterjee: The research was partially supported by the
Vienna Science and\r\nTechnology Fund (WWTF) Project ICT15-003.\r\nIsmaël Jecker:
This project has received funding from the European Union’s Horizon 2020 research\r\nand
innovation programme under the Marie Skłodowska-Curie Grant Agreement No. 754411."
alternative_title:
- LIPIcs
article_number: 22:1-22:13
article_processing_charge: No
arxiv: 1
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. Simplified game of life:
Algorithms and complexity. In: 45th International Symposium on Mathematical
Foundations of Computer Science. Vol 170. Schloss Dagstuhl - Leibniz-Zentrum
für Informatik; 2020. doi:10.4230/LIPIcs.MFCS.2020.22'
apa: 'Chatterjee, K., Ibsen-Jensen, R., Jecker, I. R., & Svoboda, J. (2020).
Simplified game of life: Algorithms and complexity. In 45th International Symposium
on Mathematical Foundations of Computer Science (Vol. 170). Prague, Czech
Republic: Schloss Dagstuhl - Leibniz-Zentrum für Informatik. https://doi.org/10.4230/LIPIcs.MFCS.2020.22'
chicago: 'Chatterjee, Krishnendu, Rasmus Ibsen-Jensen, Ismael R Jecker, and Jakub
Svoboda. “Simplified Game of Life: Algorithms and Complexity.” In 45th International
Symposium on Mathematical Foundations of Computer Science, Vol. 170. Schloss
Dagstuhl - Leibniz-Zentrum für Informatik, 2020. https://doi.org/10.4230/LIPIcs.MFCS.2020.22.'
ieee: 'K. Chatterjee, R. Ibsen-Jensen, I. R. Jecker, and J. Svoboda, “Simplified
game of life: Algorithms and complexity,” in 45th International Symposium on
Mathematical Foundations of Computer Science, Prague, Czech Republic, 2020,
vol. 170.'
ista: 'Chatterjee K, Ibsen-Jensen R, Jecker IR, Svoboda J. 2020. Simplified game
of life: Algorithms and complexity. 45th International Symposium on Mathematical
Foundations of Computer Science. MFCS: Symposium on Mathematical Foundations of
Computer Science, LIPIcs, vol. 170, 22:1-22:13.'
mla: 'Chatterjee, Krishnendu, et al. “Simplified Game of Life: Algorithms and Complexity.”
45th International Symposium on Mathematical Foundations of Computer Science,
vol. 170, 22:1-22:13, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2020,
doi:10.4230/LIPIcs.MFCS.2020.22.'
short: K. Chatterjee, R. Ibsen-Jensen, I.R. Jecker, J. Svoboda, in:, 45th International
Symposium on Mathematical Foundations of Computer Science, Schloss Dagstuhl -
Leibniz-Zentrum für Informatik, 2020.
conference:
end_date: 2020-08-28
location: Prague, Czech Republic
name: 'MFCS: Symposium on Mathematical Foundations of Computer Science'
start_date: 2020-08-24
date_created: 2020-09-20T22:01:36Z
date_published: 2020-08-18T00:00:00Z
date_updated: 2025-06-02T08:53:42Z
day: '18'
ddc:
- '000'
department:
- _id: KrCh
doi: 10.4230/LIPIcs.MFCS.2020.22
ec_funded: 1
external_id:
arxiv:
- '2007.02894'
file:
- access_level: open_access
checksum: bbd7c4f55d45f2ff2a0a4ef0e10a77b1
content_type: application/pdf
creator: dernst
date_created: 2020-09-21T13:57:34Z
date_updated: 2020-09-21T13:57:34Z
file_id: '8550'
file_name: 2020_LIPIcs_Chatterjee.pdf
file_size: 491374
relation: main_file
success: 1
file_date_updated: 2020-09-21T13:57:34Z
has_accepted_license: '1'
intvolume: ' 170'
language:
- iso: eng
month: '08'
oa: 1
oa_version: Published Version
project:
- _id: 25892FC0-B435-11E9-9278-68D0E5697425
grant_number: ICT15-003
name: Efficient Algorithms for Computer Aided Verification
- _id: 260C2330-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '754411'
name: ISTplus - Postdoctoral Fellowships
publication: 45th International Symposium on Mathematical Foundations of Computer
Science
publication_identifier:
isbn:
- '9783959771597'
issn:
- '18688969'
publication_status: published
publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik
quality_controlled: '1'
scopus_import: '1'
status: public
title: 'Simplified game of life: Algorithms and complexity'
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/3.0/legalcode
name: Creative Commons Attribution 3.0 Unported (CC BY 3.0)
short: CC BY (3.0)
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 170
year: '2020'
...
---
_id: '8534'
abstract:
- lang: eng
text: A regular language L of finite words is composite if there are regular languages
L₁,L₂,…,L_t such that L = ⋂_{i = 1}^t L_i and the index (number of states in a
minimal DFA) of every language L_i is strictly smaller than the index of L. Otherwise,
L is prime. Primality of regular languages was introduced and studied in [O. Kupferman
and J. Mosheiff, 2015], where the complexity of deciding the primality of the
language of a given DFA was left open, with a doubly-exponential gap between the
upper and lower bounds. We study primality for unary regular languages, namely
regular languages with a singleton alphabet. A unary language corresponds to a
subset of ℕ, making the study of unary prime languages closer to that of primality
in number theory. We show that the setting of languages is richer. In particular,
while every composite number is the product of two smaller numbers, the number
t of languages necessary to decompose a composite unary language induces a strict
hierarchy. In addition, a primality witness for a unary language L, namely a word
that is not in L but is in all products of languages that contain L and have an
index smaller than L’s, may be of exponential length. Still, we are able to characterize
compositionality by structural properties of a DFA for L, leading to a LogSpace
algorithm for primality checking of unary DFAs.
acknowledgement: "Ismaël Jecker: This project has received funding from the European
Union’s Horizon\r\n2020 research and innovation programme under the Marie Skłodowska-Curie
Grant Agreement No.\r\n754411. Nicolas Mazzocchi: PhD fellowship FRIA from the F.R.S.-FNRS."
alternative_title:
- LIPIcs
article_number: 51:1-51:12
article_processing_charge: No
author:
- first_name: Ismael R
full_name: Jecker, Ismael R
id: 85D7C63E-7D5D-11E9-9C0F-98C4E5697425
last_name: Jecker
- first_name: Orna
full_name: Kupferman, Orna
last_name: Kupferman
- first_name: Nicolas
full_name: Mazzocchi, Nicolas
last_name: Mazzocchi
citation:
ama: 'Jecker IR, Kupferman O, Mazzocchi N. Unary prime languages. In: 45th International
Symposium on Mathematical Foundations of Computer Science. Vol 170. Schloss
Dagstuhl - Leibniz-Zentrum für Informatik; 2020. doi:10.4230/LIPIcs.MFCS.2020.51'
apa: 'Jecker, I. R., Kupferman, O., & Mazzocchi, N. (2020). Unary prime languages.
In 45th International Symposium on Mathematical Foundations of Computer Science
(Vol. 170). Prague, Czech Republic: Schloss Dagstuhl - Leibniz-Zentrum für Informatik.
https://doi.org/10.4230/LIPIcs.MFCS.2020.51'
chicago: Jecker, Ismael R, Orna Kupferman, and Nicolas Mazzocchi. “Unary Prime Languages.”
In 45th International Symposium on Mathematical Foundations of Computer Science,
Vol. 170. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2020. https://doi.org/10.4230/LIPIcs.MFCS.2020.51.
ieee: I. R. Jecker, O. Kupferman, and N. Mazzocchi, “Unary prime languages,” in
45th International Symposium on Mathematical Foundations of Computer Science,
Prague, Czech Republic, 2020, vol. 170.
ista: 'Jecker IR, Kupferman O, Mazzocchi N. 2020. Unary prime languages. 45th International
Symposium on Mathematical Foundations of Computer Science. MFCS: Symposium on
Mathematical Foundations of Computer Science, LIPIcs, vol. 170, 51:1-51:12.'
mla: Jecker, Ismael R., et al. “Unary Prime Languages.” 45th International Symposium
on Mathematical Foundations of Computer Science, vol. 170, 51:1-51:12, Schloss
Dagstuhl - Leibniz-Zentrum für Informatik, 2020, doi:10.4230/LIPIcs.MFCS.2020.51.
short: I.R. Jecker, O. Kupferman, N. Mazzocchi, in:, 45th International Symposium
on Mathematical Foundations of Computer Science, Schloss Dagstuhl - Leibniz-Zentrum
für Informatik, 2020.
conference:
end_date: 2020-08-28
location: Prague, Czech Republic
name: 'MFCS: Symposium on Mathematical Foundations of Computer Science'
start_date: 2020-08-24
date_created: 2020-09-20T22:01:36Z
date_published: 2020-08-18T00:00:00Z
date_updated: 2021-01-12T08:19:56Z
day: '18'
ddc:
- '000'
department:
- _id: KrCh
doi: 10.4230/LIPIcs.MFCS.2020.51
ec_funded: 1
file:
- access_level: open_access
checksum: 2dc9e2fad6becd4563aef3e27a473f70
content_type: application/pdf
creator: dernst
date_created: 2020-09-21T14:17:08Z
date_updated: 2020-09-21T14:17:08Z
file_id: '8552'
file_name: 2020_LIPIcsMFCS_Jecker.pdf
file_size: 597977
relation: main_file
success: 1
file_date_updated: 2020-09-21T14:17:08Z
has_accepted_license: '1'
intvolume: ' 170'
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: 45th International Symposium on Mathematical Foundations of Computer
Science
publication_identifier:
isbn:
- '9783959771597'
issn:
- '18688969'
publication_status: published
publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik
quality_controlled: '1'
scopus_import: '1'
status: public
title: Unary prime languages
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/3.0/legalcode
name: Creative Commons Attribution 3.0 Unported (CC BY 3.0)
short: CC BY (3.0)
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 170
year: '2020'
...
---
_id: '8599'
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 study 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 show how minor changes in the
bidding mechanism lead to unexpected differences in the equivalence with random-turn
games.
acknowledgement: We 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.
alternative_title:
- LIPIcs
article_number: '2'
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. A survey of bidding games on graphs. In: 31st International
Conference on Concurrency Theory. Vol 171. Schloss Dagstuhl - Leibniz-Zentrum
für Informatik; 2020. doi:10.4230/LIPIcs.CONCUR.2020.2'
apa: 'Avni, G., & Henzinger, T. A. (2020). A survey of bidding games on graphs.
In 31st International Conference on Concurrency Theory (Vol. 171). Virtual:
Schloss Dagstuhl - Leibniz-Zentrum für Informatik. https://doi.org/10.4230/LIPIcs.CONCUR.2020.2'
chicago: Avni, Guy, and Thomas A Henzinger. “A Survey of Bidding Games on Graphs.”
In 31st International Conference on Concurrency Theory, Vol. 171. Schloss
Dagstuhl - Leibniz-Zentrum für Informatik, 2020. https://doi.org/10.4230/LIPIcs.CONCUR.2020.2.
ieee: G. Avni and T. A. Henzinger, “A survey of bidding games on graphs,” in 31st
International Conference on Concurrency Theory, Virtual, 2020, vol. 171.
ista: 'Avni G, Henzinger TA. 2020. A survey of bidding games on graphs. 31st International
Conference on Concurrency Theory. CONCUR: Conference on Concurrency Theory, LIPIcs,
vol. 171, 2.'
mla: Avni, Guy, and Thomas A. Henzinger. “A Survey of Bidding Games on Graphs.”
31st International Conference on Concurrency Theory, vol. 171, 2, Schloss
Dagstuhl - Leibniz-Zentrum für Informatik, 2020, doi:10.4230/LIPIcs.CONCUR.2020.2.
short: G. Avni, T.A. Henzinger, in:, 31st International Conference on Concurrency
Theory, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2020.
conference:
end_date: 2020-09-04
location: Virtual
name: 'CONCUR: Conference on Concurrency Theory'
start_date: 2020-09-01
date_created: 2020-10-04T22:01:36Z
date_published: 2020-08-06T00:00:00Z
date_updated: 2021-01-12T08:20:13Z
day: '06'
ddc:
- '000'
department:
- _id: ToHe
doi: 10.4230/LIPIcs.CONCUR.2020.2
file:
- access_level: open_access
checksum: 8f33b098e73724e0ac817f764d8e1a2d
content_type: application/pdf
creator: dernst
date_created: 2020-10-05T14:13:19Z
date_updated: 2020-10-05T14:13:19Z
file_id: '8611'
file_name: 2020_LIPIcsCONCUR_Avni.pdf
file_size: 868510
relation: main_file
success: 1
file_date_updated: 2020-10-05T14:13:19Z
has_accepted_license: '1'
intvolume: ' 171'
language:
- iso: eng
month: '08'
oa: 1
oa_version: Published Version
project:
- _id: 25F42A32-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: Z211
name: The Wittgenstein Prize
publication: 31st International Conference on Concurrency Theory
publication_identifier:
isbn:
- '9783959771603'
issn:
- '18688969'
publication_status: published
publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik
quality_controlled: '1'
scopus_import: '1'
status: public
title: A survey of bidding games on graphs
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/3.0/legalcode
name: Creative Commons Attribution 3.0 Unported (CC BY 3.0)
short: CC BY (3.0)
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 171
year: '2020'
...
---
_id: '8600'
abstract:
- lang: eng
text: 'A vector addition system with states (VASS) consists of a finite set of states
and counters. A transition changes the current state to the next state, and every
counter is either incremented, or decremented, or left unchanged. A state and
value for each counter is a configuration; and a computation is an infinite sequence
of configurations with transitions between successive configurations. A probabilistic
VASS consists of a VASS along with a probability distribution over the transitions
for each state. Qualitative properties such as state and configuration reachability
have been widely studied for VASS. In this work we consider multi-dimensional
long-run average objectives for VASS and probabilistic VASS. For a counter, the
cost of a configuration is the value of the counter; and the long-run average
value of a computation for the counter is the long-run average of the costs of
the configurations in the computation. The multi-dimensional long-run average
problem given a VASS and a threshold value for each counter, asks whether there
is a computation such that for each counter the long-run average value for the
counter does not exceed the respective threshold. For probabilistic VASS, instead
of the existence of a computation, we consider whether the expected long-run average
value for each counter does not exceed the respective threshold. Our main results
are as follows: we show that the multi-dimensional long-run average problem (a)
is NP-complete for integer-valued VASS; (b) is undecidable for natural-valued
VASS (i.e., nonnegative counters); and (c) can be solved in polynomial time for
probabilistic integer-valued VASS, and probabilistic natural-valued VASS when
all computations are non-terminating.'
alternative_title:
- LIPIcs
article_number: '23'
article_processing_charge: No
arxiv: 1
author:
- first_name: Krishnendu
full_name: Chatterjee, Krishnendu
id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87
last_name: Chatterjee
orcid: 0000-0002-4561-241X
- 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: Jan
full_name: Otop, Jan
id: 2FC5DA74-F248-11E8-B48F-1D18A9856A87
last_name: Otop
citation:
ama: 'Chatterjee K, Henzinger TA, Otop J. Multi-dimensional long-run average problems
for vector addition systems with states. In: 31st International Conference
on Concurrency Theory. Vol 171. Schloss Dagstuhl - Leibniz-Zentrum für Informatik;
2020. doi:10.4230/LIPIcs.CONCUR.2020.23'
apa: 'Chatterjee, K., Henzinger, T. A., & Otop, J. (2020). Multi-dimensional
long-run average problems for vector addition systems with states. In 31st
International Conference on Concurrency Theory (Vol. 171). Virtual: Schloss
Dagstuhl - Leibniz-Zentrum für Informatik. https://doi.org/10.4230/LIPIcs.CONCUR.2020.23'
chicago: Chatterjee, Krishnendu, Thomas A Henzinger, and Jan Otop. “Multi-Dimensional
Long-Run Average Problems for Vector Addition Systems with States.” In 31st
International Conference on Concurrency Theory, Vol. 171. Schloss Dagstuhl
- Leibniz-Zentrum für Informatik, 2020. https://doi.org/10.4230/LIPIcs.CONCUR.2020.23.
ieee: K. Chatterjee, T. A. Henzinger, and J. Otop, “Multi-dimensional long-run average
problems for vector addition systems with states,” in 31st International Conference
on Concurrency Theory, Virtual, 2020, vol. 171.
ista: 'Chatterjee K, Henzinger TA, Otop J. 2020. Multi-dimensional long-run average
problems for vector addition systems with states. 31st International Conference
on Concurrency Theory. CONCUR: Conference on Concurrency Theory, LIPIcs, vol.
171, 23.'
mla: Chatterjee, Krishnendu, et al. “Multi-Dimensional Long-Run Average Problems
for Vector Addition Systems with States.” 31st International Conference on
Concurrency Theory, vol. 171, 23, Schloss Dagstuhl - Leibniz-Zentrum für Informatik,
2020, doi:10.4230/LIPIcs.CONCUR.2020.23.
short: K. Chatterjee, T.A. Henzinger, J. Otop, in:, 31st International Conference
on Concurrency Theory, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2020.
conference:
end_date: 2020-09-04
location: Virtual
name: 'CONCUR: Conference on Concurrency Theory'
start_date: 2020-09-01
date_created: 2020-10-04T22:01:36Z
date_published: 2020-08-06T00:00:00Z
date_updated: 2021-01-12T08:20:15Z
day: '06'
ddc:
- '000'
department:
- _id: KrCh
- _id: ToHe
doi: 10.4230/LIPIcs.CONCUR.2020.23
external_id:
arxiv:
- '2007.08917'
file:
- access_level: open_access
checksum: 5039752f644c4b72b9361d21a5e31baf
content_type: application/pdf
creator: dernst
date_created: 2020-10-05T14:04:25Z
date_updated: 2020-10-05T14:04:25Z
file_id: '8610'
file_name: 2020_LIPIcsCONCUR_Chatterjee.pdf
file_size: 601231
relation: main_file
success: 1
file_date_updated: 2020-10-05T14:04:25Z
has_accepted_license: '1'
intvolume: ' 171'
language:
- iso: eng
month: '08'
oa: 1
oa_version: Published Version
project:
- _id: 25832EC2-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: S 11407_N23
name: Rigorous Systems Engineering
- _id: 25F2ACDE-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: S11402-N23
name: Rigorous Systems Engineering
- _id: 25F42A32-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: Z211
name: The Wittgenstein Prize
publication: 31st International Conference on Concurrency Theory
publication_identifier:
isbn:
- '9783959771603'
issn:
- '18688969'
publication_status: published
publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik
quality_controlled: '1'
scopus_import: '1'
status: public
title: Multi-dimensional long-run average problems for vector addition systems with
states
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/3.0/legalcode
name: Creative Commons Attribution 3.0 Unported (CC BY 3.0)
short: CC BY (3.0)
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 171
year: '2020'
...
---
_id: '8703'
abstract:
- lang: eng
text: 'Even though Delaunay originally introduced his famous triangulations in the
case of infinite point sets with translational periodicity, a software that computes
such triangulations in the general case is not yet available, to the best of our
knowledge. Combining and generalizing previous work, we present a practical algorithm
for computing such triangulations. The algorithm has been implemented and experiments
show that its performance is as good as the one of the CGAL package, which is
restricted to cubic periodicity. '
alternative_title:
- LIPIcs
article_number: '75'
article_processing_charge: No
author:
- first_name: Georg F
full_name: Osang, Georg F
id: 464B40D6-F248-11E8-B48F-1D18A9856A87
last_name: Osang
orcid: 0000-0002-8882-5116
- first_name: Mael
full_name: Rouxel-Labbé, Mael
last_name: Rouxel-Labbé
- first_name: Monique
full_name: Teillaud, Monique
last_name: Teillaud
citation:
ama: 'Osang GF, Rouxel-Labbé M, Teillaud M. Generalizing CGAL periodic Delaunay
triangulations. In: 28th Annual European Symposium on Algorithms. Vol 173.
Schloss Dagstuhl - Leibniz-Zentrum für Informatik; 2020. doi:10.4230/LIPIcs.ESA.2020.75'
apa: 'Osang, G. F., Rouxel-Labbé, M., & Teillaud, M. (2020). Generalizing CGAL
periodic Delaunay triangulations. In 28th Annual European Symposium on Algorithms
(Vol. 173). Virtual, Online; Pisa, Italy: Schloss Dagstuhl - Leibniz-Zentrum für
Informatik. https://doi.org/10.4230/LIPIcs.ESA.2020.75'
chicago: Osang, Georg F, Mael Rouxel-Labbé, and Monique Teillaud. “Generalizing
CGAL Periodic Delaunay Triangulations.” In 28th Annual European Symposium on
Algorithms, Vol. 173. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2020.
https://doi.org/10.4230/LIPIcs.ESA.2020.75.
ieee: G. F. Osang, M. Rouxel-Labbé, and M. Teillaud, “Generalizing CGAL periodic
Delaunay triangulations,” in 28th Annual European Symposium on Algorithms,
Virtual, Online; Pisa, Italy, 2020, vol. 173.
ista: 'Osang GF, Rouxel-Labbé M, Teillaud M. 2020. Generalizing CGAL periodic Delaunay
triangulations. 28th Annual European Symposium on Algorithms. ESA: Annual European
Symposium on Algorithms, LIPIcs, vol. 173, 75.'
mla: Osang, Georg F., et al. “Generalizing CGAL Periodic Delaunay Triangulations.”
28th Annual European Symposium on Algorithms, vol. 173, 75, Schloss Dagstuhl
- Leibniz-Zentrum für Informatik, 2020, doi:10.4230/LIPIcs.ESA.2020.75.
short: G.F. Osang, M. Rouxel-Labbé, M. Teillaud, in:, 28th Annual European Symposium
on Algorithms, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2020.
conference:
end_date: 2020-09-09
location: Virtual, Online; Pisa, Italy
name: 'ESA: Annual European Symposium on Algorithms'
start_date: 2020-09-07
date_created: 2020-10-25T23:01:18Z
date_published: 2020-08-26T00:00:00Z
date_updated: 2023-09-07T13:29:00Z
day: '26'
ddc:
- '000'
department:
- _id: HeEd
doi: 10.4230/LIPIcs.ESA.2020.75
ec_funded: 1
file:
- access_level: open_access
checksum: fe0f7c49a99ed870c671b911e10d5496
content_type: application/pdf
creator: cziletti
date_created: 2020-10-27T14:31:52Z
date_updated: 2020-10-27T14:31:52Z
file_id: '8712'
file_name: 2020_LIPIcs_Osang.pdf
file_size: 733291
relation: main_file
success: 1
file_date_updated: 2020-10-27T14:31:52Z
has_accepted_license: '1'
intvolume: ' 173'
language:
- iso: eng
month: '08'
oa: 1
oa_version: Published Version
project:
- _id: 266A2E9E-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '788183'
name: Alpha Shape Theory Extended
publication: 28th Annual European Symposium on Algorithms
publication_identifier:
isbn:
- '9783959771627'
issn:
- '18688969'
publication_status: published
publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik
quality_controlled: '1'
related_material:
record:
- id: '9056'
relation: dissertation_contains
status: public
scopus_import: '1'
status: public
title: Generalizing CGAL periodic Delaunay triangulations
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/3.0/legalcode
name: Creative Commons Attribution 3.0 Unported (CC BY 3.0)
short: CC BY (3.0)
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 173
year: '2020'
...
---
_id: '7605'
abstract:
- lang: eng
text: 'Union-Find (or Disjoint-Set Union) is one of the fundamental problems in
computer science; it has been well-studied from both theoretical and practical
perspectives in the sequential case. Recently, there has been mounting interest
in analyzing this problem in the concurrent scenario, and several asymptotically-efficient
algorithms have been proposed. Yet, to date, there is very little known about
the practical performance of concurrent Union-Find. This work addresses this gap.
We evaluate and analyze the performance of several concurrent Union-Find algorithms
and optimization strategies across a wide range of platforms (Intel, AMD, and
ARM) and workloads (social, random, and road networks, as well as integrations
into more complex algorithms). We first observe that, due to the limited computational
cost, the number of induced cache misses is the critical determining factor for
the performance of existing algorithms. We introduce new techniques to reduce
this cost by storing node priorities implicitly and by using plain reads and writes
in a way that does not affect the correctness of the algorithms. Finally, we show
that Union-Find implementations are an interesting application for Transactional
Memory (TM): one of the fastest algorithm variants we discovered is a sequential
one that uses coarse-grained locking with the lock elision optimization to reduce
synchronization cost and increase scalability. '
alternative_title:
- LIPIcs
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: Alexander
full_name: Fedorov, Alexander
last_name: Fedorov
- first_name: Nikita
full_name: Koval, Nikita
id: 2F4DB10C-F248-11E8-B48F-1D18A9856A87
last_name: Koval
citation:
ama: 'Alistarh D-A, Fedorov A, Koval N. In search of the fastest concurrent union-find
algorithm. In: 23rd International Conference on Principles of Distributed Systems.
Vol 153. Schloss Dagstuhl - Leibniz-Zentrum für Informatik; 2020:15:1-15:16. doi:10.4230/LIPIcs.OPODIS.2019.15'
apa: 'Alistarh, D.-A., Fedorov, A., & Koval, N. (2020). In search of the fastest
concurrent union-find algorithm. In 23rd International Conference on Principles
of Distributed Systems (Vol. 153, p. 15:1-15:16). Neuchatal, Switzerland:
Schloss Dagstuhl - Leibniz-Zentrum für Informatik. https://doi.org/10.4230/LIPIcs.OPODIS.2019.15'
chicago: Alistarh, Dan-Adrian, Alexander Fedorov, and Nikita Koval. “In Search of
the Fastest Concurrent Union-Find Algorithm.” In 23rd International Conference
on Principles of Distributed Systems, 153:15:1-15:16. Schloss Dagstuhl - Leibniz-Zentrum
für Informatik, 2020. https://doi.org/10.4230/LIPIcs.OPODIS.2019.15.
ieee: D.-A. Alistarh, A. Fedorov, and N. Koval, “In search of the fastest concurrent
union-find algorithm,” in 23rd International Conference on Principles of Distributed
Systems, Neuchatal, Switzerland, 2020, vol. 153, p. 15:1-15:16.
ista: 'Alistarh D-A, Fedorov A, Koval N. 2020. In search of the fastest concurrent
union-find algorithm. 23rd International Conference on Principles of Distributed
Systems. OPODIS: International Conference on Principles of Distributed Systems,
LIPIcs, vol. 153, 15:1-15:16.'
mla: Alistarh, Dan-Adrian, et al. “In Search of the Fastest Concurrent Union-Find
Algorithm.” 23rd International Conference on Principles of Distributed Systems,
vol. 153, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2020, p. 15:1-15:16,
doi:10.4230/LIPIcs.OPODIS.2019.15.
short: D.-A. Alistarh, A. Fedorov, N. Koval, in:, 23rd International Conference
on Principles of Distributed Systems, Schloss Dagstuhl - Leibniz-Zentrum für Informatik,
2020, p. 15:1-15:16.
conference:
end_date: 2019-12-19
location: Neuchatal, Switzerland
name: 'OPODIS: International Conference on Principles of Distributed Systems'
start_date: 2019-12-17
date_created: 2020-03-22T23:00:46Z
date_published: 2020-02-01T00:00:00Z
date_updated: 2023-02-23T13:12:12Z
day: '01'
ddc:
- '000'
department:
- _id: DaAl
doi: 10.4230/LIPIcs.OPODIS.2019.15
external_id:
arxiv:
- '1911.06347'
file:
- access_level: open_access
checksum: d66f07ecb609d9f02433e39f80a447e9
content_type: application/pdf
creator: dernst
date_created: 2020-03-23T09:22:48Z
date_updated: 2020-07-14T12:48:01Z
file_id: '7609'
file_name: 2019_LIPIcs_Alistarh.pdf
file_size: 13074131
relation: main_file
file_date_updated: 2020-07-14T12:48:01Z
has_accepted_license: '1'
intvolume: ' 153'
language:
- iso: eng
month: '02'
oa: 1
oa_version: Published Version
page: 15:1-15:16
publication: 23rd International Conference on Principles of Distributed Systems
publication_identifier:
isbn:
- '9783959771337'
issn:
- '18688969'
publication_status: published
publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik
quality_controlled: '1'
scopus_import: '1'
status: public
title: In search of the fastest concurrent union-find algorithm
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/3.0/legalcode
name: Creative Commons Attribution 3.0 Unported (CC BY 3.0)
short: CC BY (3.0)
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 153
year: '2020'
...
---
_id: '285'
abstract:
- lang: eng
text: In graph theory, as well as in 3-manifold topology, there exist several width-type
parameters to describe how "simple" or "thin" a given graph
or 3-manifold is. These parameters, such as pathwidth or treewidth for graphs,
or the concept of thin position for 3-manifolds, play an important role when studying
algorithmic problems; in particular, there is a variety of problems in computational
3-manifold topology - some of them known to be computationally hard in general
- that become solvable in polynomial time as soon as the dual graph of the input
triangulation has bounded treewidth. In view of these algorithmic results, it
is natural to ask whether every 3-manifold admits a triangulation of bounded treewidth.
We show that this is not the case, i.e., that there exists an infinite family
of closed 3-manifolds not admitting triangulations of bounded pathwidth or treewidth
(the latter implies the former, but we present two separate proofs). We derive
these results from work of Agol and of Scharlemann and Thompson, by exhibiting
explicit connections between the topology of a 3-manifold M on the one hand and
width-type parameters of the dual graphs of triangulations of M on the other hand,
answering a question that had been raised repeatedly by researchers in computational
3-manifold topology. In particular, we show that if a closed, orientable, irreducible,
non-Haken 3-manifold M has a triangulation of treewidth (resp. pathwidth) k then
the Heegaard genus of M is at most 48(k+1) (resp. 4(3k+1)).
acknowledgement: Research of the second author was supported by the Einstein Foundation
(project “Einstein Visiting Fellow Santos”) and by the Simons Foundation (“Simons
Visiting Professors” program).
alternative_title:
- LIPIcs
article_number: '46'
article_processing_charge: No
arxiv: 1
author:
- first_name: Kristóf
full_name: Huszár, Kristóf
id: 33C26278-F248-11E8-B48F-1D18A9856A87
last_name: Huszár
orcid: 0000-0002-5445-5057
- first_name: Jonathan
full_name: Spreer, Jonathan
last_name: Spreer
- first_name: Uli
full_name: Wagner, Uli
id: 36690CA2-F248-11E8-B48F-1D18A9856A87
last_name: Wagner
orcid: 0000-0002-1494-0568
citation:
ama: 'Huszár K, Spreer J, Wagner U. On the treewidth of triangulated 3-manifolds.
In: Vol 99. Schloss Dagstuhl - Leibniz-Zentrum für Informatik; 2018. doi:10.4230/LIPIcs.SoCG.2018.46'
apa: 'Huszár, K., Spreer, J., & Wagner, U. (2018). On the treewidth of triangulated
3-manifolds (Vol. 99). Presented at the SoCG: Symposium on Computational Geometry,
Budapest, Hungary: Schloss Dagstuhl - Leibniz-Zentrum für Informatik. https://doi.org/10.4230/LIPIcs.SoCG.2018.46'
chicago: Huszár, Kristóf, Jonathan Spreer, and Uli Wagner. “On the Treewidth of
Triangulated 3-Manifolds,” Vol. 99. Schloss Dagstuhl - Leibniz-Zentrum für Informatik,
2018. https://doi.org/10.4230/LIPIcs.SoCG.2018.46.
ieee: 'K. Huszár, J. Spreer, and U. Wagner, “On the treewidth of triangulated 3-manifolds,”
presented at the SoCG: Symposium on Computational Geometry, Budapest, Hungary,
2018, vol. 99.'
ista: 'Huszár K, Spreer J, Wagner U. 2018. On the treewidth of triangulated 3-manifolds.
SoCG: Symposium on Computational Geometry, LIPIcs, vol. 99, 46.'
mla: Huszár, Kristóf, et al. On the Treewidth of Triangulated 3-Manifolds.
Vol. 99, 46, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2018, doi:10.4230/LIPIcs.SoCG.2018.46.
short: K. Huszár, J. Spreer, U. Wagner, in:, Schloss Dagstuhl - Leibniz-Zentrum
für Informatik, 2018.
conference:
end_date: 2018-06-14
location: Budapest, Hungary
name: 'SoCG: Symposium on Computational Geometry'
start_date: 2018-06-11
date_created: 2018-12-11T11:45:37Z
date_published: 2018-06-01T00:00:00Z
date_updated: 2023-09-06T11:13:41Z
day: '01'
ddc:
- '516'
- '000'
department:
- _id: UlWa
doi: 10.4230/LIPIcs.SoCG.2018.46
external_id:
arxiv:
- '1712.00434'
file:
- access_level: open_access
checksum: 530d084116778135d5bffaa317479cac
content_type: application/pdf
creator: dernst
date_created: 2018-12-17T15:32:38Z
date_updated: 2020-07-14T12:45:51Z
file_id: '5713'
file_name: 2018_LIPIcs_Huszar.pdf
file_size: 642522
relation: main_file
file_date_updated: 2020-07-14T12:45:51Z
has_accepted_license: '1'
intvolume: ' 99'
language:
- iso: eng
month: '06'
oa: 1
oa_version: Submitted Version
publication_identifier:
issn:
- '18688969'
publication_status: published
publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik
publist_id: '7614'
quality_controlled: '1'
related_material:
record:
- id: '7093'
relation: later_version
status: public
scopus_import: 1
status: public
title: On the treewidth of triangulated 3-manifolds
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: 99
year: '2018'
...
---
_id: '133'
abstract:
- lang: eng
text: Synchronous programs are easy to specify because the side effects of an operation
are finished by the time the invocation of the operation returns to the caller.
Asynchronous programs, on the other hand, are difficult to specify because there
are side effects due to pending computation scheduled as a result of the invocation
of an operation. They are also difficult to verify because of the large number
of possible interleavings of concurrent computation threads. We present synchronization,
a new proof rule that simplifies the verification of asynchronous programs by
introducing the fiction, for proof purposes, that asynchronous operations complete
synchronously. Synchronization summarizes an asynchronous computation as immediate
atomic effect. Modular verification is enabled via pending asynchronous calls
in atomic summaries, and a complementary proof rule that eliminates pending asynchronous
calls when components and their specifications are composed. We evaluate synchronization
in the context of a multi-layer refinement verification methodology on a collection
of benchmark programs.
alternative_title:
- LIPIcs
article_number: '21'
author:
- first_name: Bernhard
full_name: Kragl, Bernhard
id: 320FC952-F248-11E8-B48F-1D18A9856A87
last_name: Kragl
orcid: 0000-0001-7745-9117
- first_name: Shaz
full_name: Qadeer, Shaz
last_name: Qadeer
- 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: 'Kragl B, Qadeer S, Henzinger TA. Synchronizing the asynchronous. In: Vol 118.
Schloss Dagstuhl - Leibniz-Zentrum für Informatik; 2018. doi:10.4230/LIPIcs.CONCUR.2018.21'
apa: 'Kragl, B., Qadeer, S., & Henzinger, T. A. (2018). Synchronizing the asynchronous
(Vol. 118). Presented at the CONCUR: International Conference on Concurrency Theory,
Beijing, China: Schloss Dagstuhl - Leibniz-Zentrum für Informatik. https://doi.org/10.4230/LIPIcs.CONCUR.2018.21'
chicago: Kragl, Bernhard, Shaz Qadeer, and Thomas A Henzinger. “Synchronizing the
Asynchronous,” Vol. 118. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2018.
https://doi.org/10.4230/LIPIcs.CONCUR.2018.21.
ieee: 'B. Kragl, S. Qadeer, and T. A. Henzinger, “Synchronizing the asynchronous,”
presented at the CONCUR: International Conference on Concurrency Theory, Beijing,
China, 2018, vol. 118.'
ista: 'Kragl B, Qadeer S, Henzinger TA. 2018. Synchronizing the asynchronous. CONCUR:
International Conference on Concurrency Theory, LIPIcs, vol. 118, 21.'
mla: Kragl, Bernhard, et al. Synchronizing the Asynchronous. Vol. 118, 21,
Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2018, doi:10.4230/LIPIcs.CONCUR.2018.21.
short: B. Kragl, S. Qadeer, T.A. Henzinger, in:, Schloss Dagstuhl - Leibniz-Zentrum
für Informatik, 2018.
conference:
end_date: 2018-09-07
location: Beijing, China
name: 'CONCUR: International Conference on Concurrency Theory'
start_date: 2018-09-04
date_created: 2018-12-11T11:44:48Z
date_published: 2018-08-13T00:00:00Z
date_updated: 2023-09-07T13:18:00Z
day: '13'
ddc:
- '000'
department:
- _id: ToHe
doi: 10.4230/LIPIcs.CONCUR.2018.21
file:
- access_level: open_access
checksum: c90895f4c5fafc18ddc54d1c8848077e
content_type: application/pdf
creator: system
date_created: 2018-12-12T10:18:46Z
date_updated: 2020-07-14T12:44:44Z
file_id: '5368'
file_name: IST-2018-853-v2+2_concur2018.pdf
file_size: 745438
relation: main_file
file_date_updated: 2020-07-14T12:44:44Z
has_accepted_license: '1'
intvolume: ' 118'
language:
- iso: eng
month: '08'
oa: 1
oa_version: Published Version
project:
- _id: 25F2ACDE-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: S11402-N23
name: Rigorous Systems Engineering
- _id: 25F5A88A-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: S11402-N23
name: Moderne Concurrency Paradigms
publication_identifier:
issn:
- '18688969'
publication_status: published
publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik
publist_id: '7790'
pubrep_id: '1039'
quality_controlled: '1'
related_material:
record:
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relation: earlier_version
status: public
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relation: dissertation_contains
status: public
scopus_import: 1
status: public
title: Synchronizing the asynchronous
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: 118
year: '2018'
...
---
_id: '1174'
abstract:
- lang: eng
text: Security of cryptographic applications is typically defined by security games.
The adversary, within certain resources, cannot win with probability much better
than 0 (for unpredictability applications, like one-way functions) or much better
than 1/2 (indistinguishability applications for instance encryption schemes).
In so called squared-friendly applications the winning probability of the adversary,
for different values of the application secret randomness, is not only close to
0 or 1/2 on average, but also concentrated in the sense that its second central
moment is small. The class of squared-friendly applications, which contains all
unpredictability applications and many indistinguishability applications, is particularly
important for key derivation. Barak et al. observed that for square-friendly applications
one can beat the "RT-bound", extracting secure keys with significantly
smaller entropy loss. In turn Dodis and Yu showed that in squared-friendly applications
one can directly use a "weak" key, which has only high entropy, as a
secure key. In this paper we give sharp lower bounds on square security assuming
security for "weak" keys. We show that any application which is either
(a) secure with weak keys or (b) allows for entropy savings for keys derived by
universal hashing, must be square-friendly. Quantitatively, our lower bounds match
the positive results of Dodis and Yu and Barak et al. (TCC\'13, CRYPTO\'11) Hence,
they can be understood as a general characterization of squared-friendly applications.
While the positive results on squared-friendly applications where derived by one
clever application of the Cauchy-Schwarz Inequality, for tight lower bounds we
need more machinery. In our approach we use convex optimization techniques and
some theory of circular matrices.
alternative_title:
- LIPIcs
article_number: '57'
article_processing_charge: No
author:
- first_name: Maciej
full_name: Skórski, Maciej
id: EC09FA6A-02D0-11E9-8223-86B7C91467DD
last_name: Skórski
citation:
ama: 'Skórski M. Lower bounds on key derivation for square-friendly applications.
In: Vol 66. Schloss Dagstuhl - Leibniz-Zentrum für Informatik; 2017. doi:10.4230/LIPIcs.STACS.2017.57'
apa: 'Skórski, M. (2017). Lower bounds on key derivation for square-friendly applications
(Vol. 66). Presented at the STACS: Symposium on Theoretical Aspects of Computer
Science, Hannover, Germany: Schloss Dagstuhl - Leibniz-Zentrum für Informatik.
https://doi.org/10.4230/LIPIcs.STACS.2017.57'
chicago: Skórski, Maciej. “Lower Bounds on Key Derivation for Square-Friendly Applications,”
Vol. 66. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2017. https://doi.org/10.4230/LIPIcs.STACS.2017.57.
ieee: 'M. Skórski, “Lower bounds on key derivation for square-friendly applications,”
presented at the STACS: Symposium on Theoretical Aspects of Computer Science,
Hannover, Germany, 2017, vol. 66.'
ista: 'Skórski M. 2017. Lower bounds on key derivation for square-friendly applications.
STACS: Symposium on Theoretical Aspects of Computer Science, LIPIcs, vol. 66,
57.'
mla: Skórski, Maciej. Lower Bounds on Key Derivation for Square-Friendly Applications.
Vol. 66, 57, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2017, doi:10.4230/LIPIcs.STACS.2017.57.
short: M. Skórski, in:, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2017.
conference:
end_date: 2017-03-11
location: Hannover, Germany
name: 'STACS: Symposium on Theoretical Aspects of Computer Science'
start_date: 2017-03-08
date_created: 2018-12-11T11:50:32Z
date_published: 2017-03-01T00:00:00Z
date_updated: 2023-09-20T11:23:15Z
day: '01'
department:
- _id: KrPi
doi: 10.4230/LIPIcs.STACS.2017.57
ec_funded: 1
external_id:
isi:
- '000521077300057'
intvolume: ' 66'
isi: 1
language:
- iso: eng
main_file_link:
- open_access: '1'
url: http://drops.dagstuhl.de/opus/volltexte/2017/6976
month: '03'
oa: 1
oa_version: Submitted Version
project:
- _id: 258AA5B2-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '682815'
name: Teaching Old Crypto New Tricks
publication_identifier:
issn:
- '18688969'
publication_status: published
publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik
publist_id: '6180'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Lower bounds on key derivation for square-friendly applications
type: conference
user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1
volume: 66
year: '2017'
...
---
_id: '1175'
abstract:
- lang: eng
text: We study space complexity and time-space trade-offs with a focus not on peak
memory usage but on overall memory consumption throughout the computation. Such
a cumulative space measure was introduced for the computational model of parallel
black pebbling by [Alwen and Serbinenko ’15] as a tool for obtaining results in
cryptography. We consider instead the non- deterministic black-white pebble game
and prove optimal cumulative space lower bounds and trade-offs, where in order
to minimize pebbling time the space has to remain large during a significant fraction
of the pebbling. We also initiate the study of cumulative space in proof complexity,
an area where other space complexity measures have been extensively studied during
the last 10–15 years. Using and extending the connection between proof complexity
and pebble games in [Ben-Sasson and Nordström ’08, ’11] we obtain several strong
cumulative space results for (even parallel versions of) the resolution proof
system, and outline some possible future directions of study of this, in our opinion,
natural and interesting space measure.
alternative_title:
- LIPIcs
author:
- first_name: Joel F
full_name: Alwen, Joel F
id: 2A8DFA8C-F248-11E8-B48F-1D18A9856A87
last_name: Alwen
- first_name: Susanna
full_name: De Rezende, Susanna
last_name: De Rezende
- first_name: Jakob
full_name: Nordstrom, Jakob
last_name: Nordstrom
- first_name: Marc
full_name: Vinyals, Marc
last_name: Vinyals
citation:
ama: 'Alwen JF, De Rezende S, Nordstrom J, Vinyals M. Cumulative space in black-white
pebbling and resolution. In: Papadimitriou C, ed. Vol 67. Schloss Dagstuhl - Leibniz-Zentrum
für Informatik; 2017:38:1-38-21. doi:10.4230/LIPIcs.ITCS.2017.38'
apa: 'Alwen, J. F., De Rezende, S., Nordstrom, J., & Vinyals, M. (2017). Cumulative
space in black-white pebbling and resolution. In C. Papadimitriou (Ed.) (Vol.
67, p. 38:1-38-21). Presented at the ITCS: Innovations in Theoretical Computer
Science, Berkeley, CA, United States: Schloss Dagstuhl - Leibniz-Zentrum für Informatik.
https://doi.org/10.4230/LIPIcs.ITCS.2017.38'
chicago: Alwen, Joel F, Susanna De Rezende, Jakob Nordstrom, and Marc Vinyals. “Cumulative
Space in Black-White Pebbling and Resolution.” edited by Christos Papadimitriou,
67:38:1-38-21. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2017. https://doi.org/10.4230/LIPIcs.ITCS.2017.38.
ieee: 'J. F. Alwen, S. De Rezende, J. Nordstrom, and M. Vinyals, “Cumulative space
in black-white pebbling and resolution,” presented at the ITCS: Innovations in
Theoretical Computer Science, Berkeley, CA, United States, 2017, vol. 67, p. 38:1-38-21.'
ista: 'Alwen JF, De Rezende S, Nordstrom J, Vinyals M. 2017. Cumulative space in
black-white pebbling and resolution. ITCS: Innovations in Theoretical Computer
Science, LIPIcs, vol. 67, 38:1-38-21.'
mla: Alwen, Joel F., et al. Cumulative Space in Black-White Pebbling and Resolution.
Edited by Christos Papadimitriou, vol. 67, Schloss Dagstuhl - Leibniz-Zentrum
für Informatik, 2017, p. 38:1-38-21, doi:10.4230/LIPIcs.ITCS.2017.38.
short: J.F. Alwen, S. De Rezende, J. Nordstrom, M. Vinyals, in:, C. Papadimitriou
(Ed.), Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2017, p. 38:1-38-21.
conference:
end_date: 2017-01-11
location: Berkeley, CA, United States
name: 'ITCS: Innovations in Theoretical Computer Science'
start_date: 2017-01-09
date_created: 2018-12-11T11:50:33Z
date_published: 2017-01-01T00:00:00Z
date_updated: 2021-01-12T06:48:51Z
day: '01'
ddc:
- '005'
- '600'
department:
- _id: KrPi
doi: 10.4230/LIPIcs.ITCS.2017.38
editor:
- first_name: Christos
full_name: Papadimitriou, Christos
last_name: Papadimitriou
file:
- access_level: open_access
checksum: dbc94810be07c2fb1945d5c2a6130e6c
content_type: application/pdf
creator: system
date_created: 2018-12-12T10:17:11Z
date_updated: 2020-07-14T12:44:37Z
file_id: '5263'
file_name: IST-2018-927-v1+1_LIPIcs-ITCS-2017-38.pdf
file_size: 557769
relation: main_file
file_date_updated: 2020-07-14T12:44:37Z
has_accepted_license: '1'
intvolume: ' 67'
language:
- iso: eng
month: '01'
oa: 1
oa_version: Published Version
page: 38:1-38-21
publication_identifier:
issn:
- '18688969'
publication_status: published
publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik
publist_id: '6179'
pubrep_id: '927'
quality_controlled: '1'
scopus_import: 1
status: public
title: Cumulative space in black-white pebbling and resolution
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: 67
year: '2017'
...