---
_id: '14769'
abstract:
- lang: eng
  text: 'For a set of points in Rd, the Euclidean k-means problems consists of finding
    k centers such that the sum of distances squared from each data point to its closest
    center is minimized. Coresets are one the main tools developed recently to solve
    this problem in a big data context. They allow to compress the initial dataset
    while preserving its structure: running any algorithm on the coreset provides
    a guarantee almost equivalent to running it on the full data. In this work, we
    study coresets in a fully-dynamic setting: points are added and deleted with the
    goal to efficiently maintain a coreset with which a k-means solution can be computed.
    Based on an algorithm from Henzinger and Kale [ESA''20], we present an efficient
    and practical implementation of a fully dynamic coreset algorithm, that improves
    the running time by up to a factor of 20 compared to our non-optimized implementation
    of the algorithm by Henzinger and Kale, without sacrificing more than 7% on the
    quality of the k-means solution.'
acknowledgement: This   project   has   received   funding   from   the   Euro-pean  Research  Council  (ERC)  under  the  EuropeanUnion’s  Horizon  2020  research  and  innovation  programme  (Grant  agreement  No.   101019564  “The  De-sign  of  Modern  Fully  Dynamic  Data  Structures  (Mo-DynStruct)”  and  the  Austrian  Science  Fund  (FWF)project
  Z 422-N, project “Static and Dynamic Hierar-chical  Graph  Decompositions”,  I  5982-N,  and  project“Fast  Algorithms  for  a  Reactive  Network  Layer  (Re-actNet)”,
  P 33775-N, with additional funding from thenetidee SCIENCE Stiftung, 2020–2024.D.  Sauplic  has  received  funding  from  the  Euro-pean  Union’s  Horizon  2020  research  and  innovation
  programme under the Marie Sklodowska-Curie    grant    agreementNo 101034413.
article_processing_charge: No
arxiv: 1
author:
- first_name: Monika H
  full_name: Henzinger, Monika H
  id: 540c9bbd-f2de-11ec-812d-d04a5be85630
  last_name: Henzinger
  orcid: 0000-0002-5008-6530
- first_name: David
  full_name: Saulpic, David
  id: f8e48cf0-b0ff-11ed-b0e9-b4c35598f964
  last_name: Saulpic
- first_name: Leonhard
  full_name: Sidl, Leonhard
  id: 8b563fd0-b441-11ee-9101-a3891c61efa6
  last_name: Sidl
citation:
  ama: 'Henzinger MH, Saulpic D, Sidl L. Experimental evaluation of fully dynamic
    k-means via coresets. In: <i>2024 Proceedings of the Symposium on Algorithm Engineering
    and Experiments</i>. Society for Industrial &#38; Applied Mathematics; 2024:220-233.
    doi:<a href="https://doi.org/10.1137/1.9781611977929.17">10.1137/1.9781611977929.17</a>'
  apa: 'Henzinger, M. H., Saulpic, D., &#38; Sidl, L. (2024). Experimental evaluation
    of fully dynamic k-means via coresets. In <i>2024 Proceedings of the Symposium
    on Algorithm Engineering and Experiments</i> (pp. 220–233). Alexandria, VA, United
    States: Society for Industrial &#38; Applied Mathematics. <a href="https://doi.org/10.1137/1.9781611977929.17">https://doi.org/10.1137/1.9781611977929.17</a>'
  chicago: Henzinger, Monika H, David Saulpic, and Leonhard Sidl. “Experimental Evaluation
    of Fully Dynamic K-Means via Coresets.” In <i>2024 Proceedings of the Symposium
    on Algorithm Engineering and Experiments</i>, 220–33. Society for Industrial &#38;
    Applied Mathematics, 2024. <a href="https://doi.org/10.1137/1.9781611977929.17">https://doi.org/10.1137/1.9781611977929.17</a>.
  ieee: M. H. Henzinger, D. Saulpic, and L. Sidl, “Experimental evaluation of fully
    dynamic k-means via coresets,” in <i>2024 Proceedings of the Symposium on Algorithm
    Engineering and Experiments</i>, Alexandria, VA, United States, 2024, pp. 220–233.
  ista: 'Henzinger MH, Saulpic D, Sidl L. 2024. Experimental evaluation of fully dynamic
    k-means via coresets. 2024 Proceedings of the Symposium on Algorithm Engineering
    and Experiments. ALENEX: Workshop on Algorithm Engineering and Experiments, 220–233.'
  mla: Henzinger, Monika H., et al. “Experimental Evaluation of Fully Dynamic K-Means
    via Coresets.” <i>2024 Proceedings of the Symposium on Algorithm Engineering and
    Experiments</i>, Society for Industrial &#38; Applied Mathematics, 2024, pp. 220–33,
    doi:<a href="https://doi.org/10.1137/1.9781611977929.17">10.1137/1.9781611977929.17</a>.
  short: M.H. Henzinger, D. Saulpic, L. Sidl, in:, 2024 Proceedings of the Symposium
    on Algorithm Engineering and Experiments, Society for Industrial &#38; Applied
    Mathematics, 2024, pp. 220–233.
conference:
  end_date: 2024-01-08
  location: Alexandria, VA, United States
  name: 'ALENEX: Workshop on Algorithm Engineering and Experiments'
  start_date: 2024-01-07
date_created: 2024-01-09T16:22:47Z
date_published: 2024-01-04T00:00:00Z
date_updated: 2025-07-15T12:51:52Z
day: '04'
department:
- _id: MoHe
doi: 10.1137/1.9781611977929.17
ec_funded: 1
external_id:
  arxiv:
  - '2310.18034'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.48550/arXiv.2310.18034
month: '01'
oa: 1
oa_version: Preprint
page: 220-233
project:
- _id: bd9ca328-d553-11ed-ba76-dc4f890cfe62
  call_identifier: H2020
  grant_number: '101019564'
  name: The design and evaluation of modern fully dynamic data structures
- _id: 34def286-11ca-11ed-8bc3-da5948e1613c
  grant_number: Z00422
  name: Wittgenstein Award - Monika Henzinger
- _id: bda196b2-d553-11ed-ba76-8e8ee6c21103
  grant_number: I05982
  name: Static and Dynamic Hierarchical Graph Decompositions
- _id: bd9e3a2e-d553-11ed-ba76-8aa684ce17fe
  grant_number: 'P33775 '
  name: Fast Algorithms for a Reactive Network Layer
- _id: fc2ed2f7-9c52-11eb-aca3-c01059dda49c
  call_identifier: H2020
  grant_number: '101034413'
  name: 'IST-BRIDGE: International postdoctoral program'
publication: 2024 Proceedings of the Symposium on Algorithm Engineering and Experiments
publication_identifier:
  eisbn:
  - '9781611977929'
publication_status: published
publisher: Society for Industrial & Applied Mathematics
quality_controlled: '1'
scopus_import: '1'
status: public
title: Experimental evaluation of fully dynamic k-means via coresets
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2024'
...
---
_id: '15008'
abstract:
- lang: eng
  text: "Oblivious routing is a well-studied paradigm that uses static precomputed
    routing tables for selecting routing paths within a network. Existing oblivious
    routing schemes with polylogarithmic competitive ratio for general networks are
    tree-based, in the sense that routing is performed according to a convex combination
    of trees. However, this restriction to trees leads to a construction that has
    time quadratic in the size of the network and does not parallelize well. \r\nIn
    this paper we study oblivious routing schemes based on electrical routing. In
    particular, we show that general networks with n vertices and m edges admit a
    routing scheme that has competitive ratio O(log² n) and consists of a convex combination
    of only O(√m) electrical routings. This immediately leads to an improved construction
    algorithm with time Õ(m^{3/2}) that can also be implemented in parallel with
    Õ(√m) depth."
acknowledgement: "Monika Henzinger and A. R. Sricharan: This project has received
  funding from the European Research Council (ERC) under the European Union’s Horizon
  2020 research and innovation\r\nprogramme (Grant agreement No. 101019564) and the
  Austrian Science Fund (FWF) project Z\r\n422-N, project I 5982-N, and project P
  33775-N, with additional funding from the netidee SCIENCE Stiftung, 2020–2024.\r\nHarald
  Räcke: Research supported by German Research Foundation (DFG), grant 470029389\r\n(FlexNets),
  2021-2024.\r\nSushant Sachdeva: SS’s work is supported by an Natural Sciences and
  Engineering Research Council of Canada (NSERC) Discovery Grant RGPIN-2018-06398
  and a Sloan Research Fellowship."
alternative_title:
- LIPIcs
article_number: '55'
article_processing_charge: No
arxiv: 1
author:
- first_name: Gramoz
  full_name: Goranci, Gramoz
  last_name: Goranci
- first_name: Monika H
  full_name: Henzinger, Monika H
  id: 540c9bbd-f2de-11ec-812d-d04a5be85630
  last_name: Henzinger
  orcid: 0000-0002-5008-6530
- first_name: Harald
  full_name: Räcke, Harald
  last_name: Räcke
- first_name: Sushant
  full_name: Sachdeva, Sushant
  last_name: Sachdeva
- first_name: A. R.
  full_name: Sricharan, A. R.
  last_name: Sricharan
citation:
  ama: 'Goranci G, Henzinger MH, Räcke H, Sachdeva S, Sricharan AR. Electrical flows
    for polylogarithmic competitive oblivious routing. In: <i>15th Innovations in
    Theoretical Computer Science Conference</i>. Vol 287. Schloss Dagstuhl - Leibniz-Zentrum
    für Informatik; 2024. doi:<a href="https://doi.org/10.4230/LIPIcs.ITCS.2024.55">10.4230/LIPIcs.ITCS.2024.55</a>'
  apa: 'Goranci, G., Henzinger, M. H., Räcke, H., Sachdeva, S., &#38; Sricharan, A.
    R. (2024). Electrical flows for polylogarithmic competitive oblivious routing.
    In <i>15th Innovations in Theoretical Computer Science Conference</i> (Vol. 287).
    Berkeley, CA, United States: Schloss Dagstuhl - Leibniz-Zentrum für Informatik.
    <a href="https://doi.org/10.4230/LIPIcs.ITCS.2024.55">https://doi.org/10.4230/LIPIcs.ITCS.2024.55</a>'
  chicago: Goranci, Gramoz, Monika H Henzinger, Harald Räcke, Sushant Sachdeva, and
    A. R. Sricharan. “Electrical Flows for Polylogarithmic Competitive Oblivious Routing.”
    In <i>15th Innovations in Theoretical Computer Science Conference</i>, Vol. 287.
    Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2024. <a href="https://doi.org/10.4230/LIPIcs.ITCS.2024.55">https://doi.org/10.4230/LIPIcs.ITCS.2024.55</a>.
  ieee: G. Goranci, M. H. Henzinger, H. Räcke, S. Sachdeva, and A. R. Sricharan, “Electrical
    flows for polylogarithmic competitive oblivious routing,” in <i>15th Innovations
    in Theoretical Computer Science Conference</i>, Berkeley, CA, United States, 2024,
    vol. 287.
  ista: 'Goranci G, Henzinger MH, Räcke H, Sachdeva S, Sricharan AR. 2024. Electrical
    flows for polylogarithmic competitive oblivious routing. 15th Innovations in Theoretical
    Computer Science Conference. ITCS: Innovations in Theoretical Computer Science
    Conference, LIPIcs, vol. 287, 55.'
  mla: Goranci, Gramoz, et al. “Electrical Flows for Polylogarithmic Competitive Oblivious
    Routing.” <i>15th Innovations in Theoretical Computer Science Conference</i>,
    vol. 287, 55, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2024, doi:<a
    href="https://doi.org/10.4230/LIPIcs.ITCS.2024.55">10.4230/LIPIcs.ITCS.2024.55</a>.
  short: G. Goranci, M.H. Henzinger, H. Räcke, S. Sachdeva, A.R. Sricharan, in:, 15th
    Innovations in Theoretical Computer Science Conference, Schloss Dagstuhl - Leibniz-Zentrum
    für Informatik, 2024.
conference:
  end_date: 2024-02-02
  location: Berkeley, CA, United States
  name: 'ITCS: Innovations in Theoretical Computer Science Conference'
  start_date: 2024-01-30
date_created: 2024-02-18T23:01:02Z
date_published: 2024-01-24T00:00:00Z
date_updated: 2025-07-15T12:51:53Z
day: '24'
ddc:
- '000'
department:
- _id: MoHe
doi: 10.4230/LIPIcs.ITCS.2024.55
ec_funded: 1
external_id:
  arxiv:
  - '2303.02491'
file:
- access_level: open_access
  checksum: b89716aae6a5599f187897e39de1e53a
  content_type: application/pdf
  creator: dernst
  date_created: 2024-02-26T10:10:48Z
  date_updated: 2024-02-26T10:10:48Z
  file_id: '15030'
  file_name: 2024_LIPICs_Goranci.pdf
  file_size: 1054754
  relation: main_file
  success: 1
file_date_updated: 2024-02-26T10:10:48Z
has_accepted_license: '1'
intvolume: '       287'
language:
- iso: eng
month: '01'
oa: 1
oa_version: Published Version
project:
- _id: bd9ca328-d553-11ed-ba76-dc4f890cfe62
  call_identifier: H2020
  grant_number: '101019564'
  name: The design and evaluation of modern fully dynamic data structures
- _id: 34def286-11ca-11ed-8bc3-da5948e1613c
  grant_number: Z00422
  name: Wittgenstein Award - Monika Henzinger
- _id: bda196b2-d553-11ed-ba76-8e8ee6c21103
  grant_number: I05982
  name: Static and Dynamic Hierarchical Graph Decompositions
- _id: bd9e3a2e-d553-11ed-ba76-8aa684ce17fe
  grant_number: 'P33775 '
  name: Fast Algorithms for a Reactive Network Layer
publication: 15th Innovations in Theoretical Computer Science Conference
publication_identifier:
  isbn:
  - '9783959773096'
  issn:
  - 1868-8969
publication_status: published
publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik
quality_controlled: '1'
scopus_import: '1'
status: public
title: Electrical flows for polylogarithmic competitive oblivious routing
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 287
year: '2024'
...
---
_id: '14462'
abstract:
- lang: eng
  text: "We study fine-grained error bounds for differentially private algorithms
    for counting under continual observation. Our main insight is that the matrix
    mechanism when using lower-triangular matrices can be used in the continual observation
    model. More specifically, we give an explicit factorization for the counting matrix
    Mcount and upper bound the error explicitly. We also give a fine-grained analysis,
    specifying the exact constant in the upper bound. Our analysis is based on upper
    and lower bounds of the completely bounded norm (cb-norm) of Mcount\r\n. Along
    the way, we improve the best-known bound of 28 years by Mathias (SIAM Journal
    on Matrix Analysis and Applications, 1993) on the cb-norm of Mcount for a large
    range of the dimension of Mcount. Furthermore, we are the first to give concrete
    error bounds for various problems under continual observation such as binary counting,
    maintaining a histogram, releasing an approximately cut-preserving synthetic graph,
    many graph-based statistics, and substring and episode counting. Finally, we note
    that our result can be used to get a fine-grained error bound for non-interactive
    local learning and the first lower bounds on the additive error for (ϵ,δ)-differentially-private
    counting under continual observation. Subsequent to this work, Henzinger et al.
    (SODA, 2023) showed that our factorization also achieves fine-grained mean-squared
    error."
acknowledgement: "This project has received funding from the European Research Council
  (ERC) under the European Union’s Horizon 2020 research and innovation programme
  (Grant agreement No.\r\n101019564 “The Design of Modern Fully Dynamic Data Structures
  (MoDynStruct)” and from the Austrian Science Fund (FWF) project Z 422-N, and project
  “Fast Algorithms for a Reactive Network Layer (ReactNet)”, P 33775-N, with additional
  funding from the netidee SCIENCE Stiftung, 2020–2024. 2020–2024. JU’s research was
  funded by Decanal Research Grant. A part of this work was done when JU was visiting
  Indian Statistical Institute, Delhi. The authors would like to thank Rajat Bhatia,
  Aleksandar Nikolov, Shanta Laisharam, Vern Paulsen, Ryan Rogers, Abhradeep Thakurta,
  and Sarvagya Upadhyay for useful discussions."
alternative_title:
- PMLR
article_processing_charge: No
author:
- first_name: Hendrik
  full_name: Fichtenberger, Hendrik
  last_name: Fichtenberger
- 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: Jalaj
  full_name: Upadhyay, Jalaj
  last_name: Upadhyay
citation:
  ama: 'Fichtenberger H, Henzinger MH, Upadhyay J. Constant matters: Fine-grained
    error bound on differentially private continual observation. In: <i>Proceedings
    of the 40th International Conference on Machine Learning</i>. Vol 202. ML Research
    Press; 2023:10072-10092.'
  apa: 'Fichtenberger, H., Henzinger, M. H., &#38; Upadhyay, J. (2023). Constant matters:
    Fine-grained error bound on differentially private continual observation. In <i>Proceedings
    of the 40th International Conference on Machine Learning</i> (Vol. 202, pp. 10072–10092).
    Honolulu, Hawaii, HI, United States: ML Research Press.'
  chicago: 'Fichtenberger, Hendrik, Monika H Henzinger, and Jalaj Upadhyay. “Constant
    Matters: Fine-Grained Error Bound on Differentially Private Continual Observation.”
    In <i>Proceedings of the 40th International Conference on Machine Learning</i>,
    202:10072–92. ML Research Press, 2023.'
  ieee: 'H. Fichtenberger, M. H. Henzinger, and J. Upadhyay, “Constant matters: Fine-grained
    error bound on differentially private continual observation,” in <i>Proceedings
    of the 40th International Conference on Machine Learning</i>, Honolulu, Hawaii,
    HI, United States, 2023, vol. 202, pp. 10072–10092.'
  ista: 'Fichtenberger H, Henzinger MH, Upadhyay J. 2023. Constant matters: Fine-grained
    error bound on differentially private continual observation. Proceedings of the
    40th International Conference on Machine Learning. ICML: International Conference
    on Machine Learning, PMLR, vol. 202, 10072–10092.'
  mla: 'Fichtenberger, Hendrik, et al. “Constant Matters: Fine-Grained Error Bound
    on Differentially Private Continual Observation.” <i>Proceedings of the 40th International
    Conference on Machine Learning</i>, vol. 202, ML Research Press, 2023, pp. 10072–92.'
  short: H. Fichtenberger, M.H. Henzinger, J. Upadhyay, in:, Proceedings of the 40th
    International Conference on Machine Learning, ML Research Press, 2023, pp. 10072–10092.
conference:
  end_date: 2023-07-29
  location: Honolulu, Hawaii, HI, United States
  name: 'ICML: International Conference on Machine Learning'
  start_date: 2023-07-23
date_created: 2023-10-29T23:01:17Z
date_published: 2023-07-30T00:00:00Z
date_updated: 2025-07-15T12:51:52Z
day: '30'
department:
- _id: MoHe
ec_funded: 1
intvolume: '       202'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://proceedings.mlr.press/v202/fichtenberger23a/fichtenberger23a.pdf
month: '07'
oa: 1
oa_version: Published Version
page: 10072-10092
project:
- _id: bd9ca328-d553-11ed-ba76-dc4f890cfe62
  call_identifier: H2020
  grant_number: '101019564'
  name: The design and evaluation of modern fully dynamic data structures
- _id: 34def286-11ca-11ed-8bc3-da5948e1613c
  grant_number: Z00422
  name: Wittgenstein Award - Monika Henzinger
- _id: bd9e3a2e-d553-11ed-ba76-8aa684ce17fe
  grant_number: 'P33775 '
  name: Fast Algorithms for a Reactive Network Layer
publication: Proceedings of the 40th International Conference on Machine Learning
publication_identifier:
  eissn:
  - 2640-3498
publication_status: published
publisher: ML Research Press
quality_controlled: '1'
scopus_import: '1'
status: public
title: 'Constant matters: Fine-grained error bound on differentially private continual
  observation'
type: conference
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 202
year: '2023'
...
---
_id: '14558'
abstract:
- lang: eng
  text: "n the dynamic minimum set cover problem, the challenge is to minimize the
    update time while guaranteeing a close-to-optimal min{O(log n), f} approximation
    factor. (Throughout, n, m, f , and C are parameters denoting the maximum number
    of elements, the number of sets, the frequency, and the cost range.) In the high-frequency
    range, when f = Ω(log n) , this was achieved by a deterministic O(log n) -approximation
    algorithm with O(f log n) amortized update time by Gupta et al. [Online and dynamic
    algorithms for set cover, in Proceedings STOC 2017, ACM, pp. 537–550]. In this
    paper we consider the low-frequency range, when f = O(log n) , and obtain deterministic
    algorithms with a (1 + ∈)f -approximation ratio and the following guarantees on
    the update time. (1)  O ((f/∈)-log(Cn)) amortized update time: Prior to our work,
    the best approximation ratio guaranteed by deterministic algorithms was O(f2)
    of Bhattacharya, Henzinger, and Italiano [Design of dynamic algorithms via primal-dual
    method, in Proceedings ICALP 2015, Springer, pp. 206–218]. In contrast, the only
    result with O(f) -approximation was that of Abboud et al. [Dynamic set cover:
    Improved algorithms and lower bounds, in Proceedings STOC 2019, ACM, pp. 114–125],
    who designed a randomized (1+∈)f -approximation algorithm with  amortized update
    time. (2) O(f2/∈3 + (f/∈2).logC) amortized update time: This result improves the
    above update time bound for most values of f\r\n in the low-frequency range, i.e.,
    f=o(log n) . It is also the first result that is independent of m\r\n and n. It
    subsumes the constant amortized update time of Bhattacharya and Kulkarni [Deterministically
    maintaining a (2 + ∈) -approximate minimum vertex cover in O(1/∈2) amortized update
    time, in Proceedings SODA 2019, SIAM, pp. 1872–1885] for unweighted dynamic vertex
    cover (i.e., when f = 2 and C = 1). (3) O((f/∈3).log2(Cn)) worst-case update time:
    No nontrivial worst-case update time was previously known for the dynamic set
    cover problem. Our bound subsumes and improves by a logarithmic factor the O(log3n/poly
    (∈)) \r\n worst-case update time for the unweighted dynamic vertex cover problem
    (i.e., when f = 2\r\n and C =1) of Bhattacharya, Henzinger, and Nanongkai [Fully
    dynamic approximate maximum matching and minimum vertex cover in O(log3)n worst
    case update time, in Proceedings SODA 2017, SIAM, pp. 470–489]. We achieve our
    results via the primal-dual approach, by maintaining a fractional packing solution
    as a dual certificate. Prior work in dynamic algorithms that employs the primal-dual
    approach uses a local update scheme that maintains relaxed complementary slackness
    conditions for every set. For our first result we use instead a global update
    scheme that does not always maintain complementary slackness conditions. For our
    second result we combine the global and the local update schema. To achieve our
    third result we use a hierarchy of background schedulers. It is an interesting
    open question whether this background scheduler technique can also be used to
    transform algorithms with amortized running time bounds into algorithms with worst-case
    running time bounds."
acknowledgement: "This project has received funding from the European Research Council
  (ERC) under the European Union's Horizon 2020 research and innovation programme
  (grants 715672 and\r\n101019564 ``The Design of Modern Fully Dynamic Data Structures
  (MoDynStruct)\"\") and from the Engineering and Physical Sciences Research Council,
  UK (EPSRC) under grant EP/S03353X/1. The second author was also supported by the
  Austrian Science Fund (FWF) project ``Fast Algorithms for a Reactive Network Layer
  (ReactNet),\"\" P 33775-N, with additional funding from the netidee SCIENCE Stiftung,
  2020--2024, project ``Static and Dynamic Hierarchical Graph Decompositions,\"\"I
  5982-N, and project Z 422-N. The third author was also supported by the Swedish
  Research Council (Reg. No. 2015-04659). The fourth author was also supported by
  the Science and Technology Development Fund (FDCT), Macau SAR (file 0014/2022/AFJ,
  0085/2022/A, 0143/2020/A3, and SKL-IOTSC-2021-2023)."
article_processing_charge: No
article_type: original
author:
- first_name: Sayan
  full_name: Bhattacharya, Sayan
  last_name: Bhattacharya
- 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: Danupon
  full_name: Nanongkai, Danupon
  last_name: Nanongkai
- first_name: Xiaowei
  full_name: Wu, Xiaowei
  last_name: Wu
citation:
  ama: Bhattacharya S, Henzinger MH, Nanongkai D, Wu X. Deterministic near-optimal
    approximation algorithms for dynamic set cover. <i>SIAM Journal on Computing</i>.
    2023;52(5):1132-1192. doi:<a href="https://doi.org/10.1137/21M1428649">10.1137/21M1428649</a>
  apa: Bhattacharya, S., Henzinger, M. H., Nanongkai, D., &#38; Wu, X. (2023). Deterministic
    near-optimal approximation algorithms for dynamic set cover. <i>SIAM Journal on
    Computing</i>. Society for Industrial and Applied Mathematics. <a href="https://doi.org/10.1137/21M1428649">https://doi.org/10.1137/21M1428649</a>
  chicago: Bhattacharya, Sayan, Monika H Henzinger, Danupon Nanongkai, and Xiaowei
    Wu. “Deterministic Near-Optimal Approximation Algorithms for Dynamic Set Cover.”
    <i>SIAM Journal on Computing</i>. Society for Industrial and Applied Mathematics,
    2023. <a href="https://doi.org/10.1137/21M1428649">https://doi.org/10.1137/21M1428649</a>.
  ieee: S. Bhattacharya, M. H. Henzinger, D. Nanongkai, and X. Wu, “Deterministic
    near-optimal approximation algorithms for dynamic set cover,” <i>SIAM Journal
    on Computing</i>, vol. 52, no. 5. Society for Industrial and Applied Mathematics,
    pp. 1132–1192, 2023.
  ista: Bhattacharya S, Henzinger MH, Nanongkai D, Wu X. 2023. Deterministic near-optimal
    approximation algorithms for dynamic set cover. SIAM Journal on Computing. 52(5),
    1132–1192.
  mla: Bhattacharya, Sayan, et al. “Deterministic Near-Optimal Approximation Algorithms
    for Dynamic Set Cover.” <i>SIAM Journal on Computing</i>, vol. 52, no. 5, Society
    for Industrial and Applied Mathematics, 2023, pp. 1132–92, doi:<a href="https://doi.org/10.1137/21M1428649">10.1137/21M1428649</a>.
  short: S. Bhattacharya, M.H. Henzinger, D. Nanongkai, X. Wu, SIAM Journal on Computing
    52 (2023) 1132–1192.
date_created: 2023-11-19T23:00:56Z
date_published: 2023-10-01T00:00:00Z
date_updated: 2025-07-15T12:51:52Z
day: '01'
department:
- _id: MoHe
doi: 10.1137/21M1428649
ec_funded: 1
intvolume: '        52'
issue: '5'
language:
- iso: eng
month: '10'
oa_version: None
page: 1132-1192
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: bd9e3a2e-d553-11ed-ba76-8aa684ce17fe
  grant_number: 'P33775 '
  name: Fast Algorithms for a Reactive Network Layer
- _id: 34def286-11ca-11ed-8bc3-da5948e1613c
  grant_number: Z00422
  name: Wittgenstein Award - Monika Henzinger
- _id: bda196b2-d553-11ed-ba76-8e8ee6c21103
  grant_number: I05982
  name: Static and Dynamic Hierarchical Graph Decompositions
publication: SIAM Journal on Computing
publication_identifier:
  eissn:
  - 1095-7111
  issn:
  - 0097-5397
publication_status: published
publisher: Society for Industrial and Applied Mathematics
quality_controlled: '1'
scopus_import: '1'
status: public
title: Deterministic near-optimal approximation algorithms for dynamic set cover
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 52
year: '2023'
...
