---
_id: '14820'
abstract:
- lang: eng
  text: "We consider a natural problem dealing with weighted packet selection across
    a rechargeable link, which e.g., finds applications in cryptocurrency networks.
    The capacity of a link (u, v) is determined by how many nodes u and v allocate
    for this link. Specifically, the input is a finite ordered sequence of packets
    that arrive in both directions along a link. Given (u, v) and a packet of weight
    x going from u to v, node u can either accept or reject the packet. If u accepts
    the packet, the capacity on link (u, v) decreases by x. Correspondingly, v's capacity
    on \r\n increases by x. If a node rejects the packet, this will entail a cost
    affinely linear in the weight of the packet. A link is “rechargeable” in the sense
    that the total capacity of the link has to remain constant, but the allocation
    of capacity at the ends of the link can depend arbitrarily on the nodes' decisions.
    The goal is to minimise the sum of the capacity injected into the link and the
    cost of rejecting packets. We show that the problem is NP-hard, but can be approximated
    efficiently with a ratio of (1+E) . (1+3)  for some arbitrary E>0."
acknowledgement: We thank Mahsa Bastankhah and Mohammad Ali Maddah-Ali for fruitful
  discussions about different variants of the problem. This work is supported by the
  European Research Council (ERC) Consolidator Project 864228 (AdjustNet), 2020-2025,
  the ERC CoG 863818 (ForM-SMArt), and the German Research Foundation (DFG) grant
  470029389 (FlexNets), 2021-2024.
article_number: '114353'
article_processing_charge: Yes (via OA deal)
article_type: original
author:
- first_name: Stefan
  full_name: Schmid, Stefan
  last_name: Schmid
- first_name: Jakub
  full_name: Svoboda, Jakub
  id: 130759D2-D7DD-11E9-87D2-DE0DE6697425
  last_name: Svoboda
  orcid: 0000-0002-1419-3267
- first_name: Michelle X
  full_name: Yeo, Michelle X
  id: 2D82B818-F248-11E8-B48F-1D18A9856A87
  last_name: Yeo
  orcid: 0009-0001-3676-4809
citation:
  ama: 'Schmid S, Svoboda J, Yeo MX. Weighted packet selection for rechargeable links
    in cryptocurrency networks: Complexity and approximation. <i>Theoretical Computer
    Science</i>. 2024;989. doi:<a href="https://doi.org/10.1016/j.tcs.2023.114353">10.1016/j.tcs.2023.114353</a>'
  apa: 'Schmid, S., Svoboda, J., &#38; Yeo, M. X. (2024). Weighted packet selection
    for rechargeable links in cryptocurrency networks: Complexity and approximation.
    <i>Theoretical Computer Science</i>. Elsevier. <a href="https://doi.org/10.1016/j.tcs.2023.114353">https://doi.org/10.1016/j.tcs.2023.114353</a>'
  chicago: 'Schmid, Stefan, Jakub Svoboda, and Michelle X Yeo. “Weighted Packet Selection
    for Rechargeable Links in Cryptocurrency Networks: Complexity and Approximation.”
    <i>Theoretical Computer Science</i>. Elsevier, 2024. <a href="https://doi.org/10.1016/j.tcs.2023.114353">https://doi.org/10.1016/j.tcs.2023.114353</a>.'
  ieee: 'S. Schmid, J. Svoboda, and M. X. Yeo, “Weighted packet selection for rechargeable
    links in cryptocurrency networks: Complexity and approximation,” <i>Theoretical
    Computer Science</i>, vol. 989. Elsevier, 2024.'
  ista: 'Schmid S, Svoboda J, Yeo MX. 2024. Weighted packet selection for rechargeable
    links in cryptocurrency networks: Complexity and approximation. Theoretical Computer
    Science. 989, 114353.'
  mla: 'Schmid, Stefan, et al. “Weighted Packet Selection for Rechargeable Links in
    Cryptocurrency Networks: Complexity and Approximation.” <i>Theoretical Computer
    Science</i>, vol. 989, 114353, Elsevier, 2024, doi:<a href="https://doi.org/10.1016/j.tcs.2023.114353">10.1016/j.tcs.2023.114353</a>.'
  short: S. Schmid, J. Svoboda, M.X. Yeo, Theoretical Computer Science 989 (2024).
corr_author: '1'
date_created: 2024-01-16T13:40:41Z
date_published: 2024-03-21T00:00:00Z
date_updated: 2025-12-02T14:02:37Z
day: '21'
ddc:
- '000'
department:
- _id: KrCh
- _id: KrPi
doi: 10.1016/j.tcs.2023.114353
ec_funded: 1
external_id:
  isi:
  - '001168211400001'
file:
- access_level: open_access
  checksum: efd5b7e738bf845312ba53889a3e13e4
  content_type: application/pdf
  creator: dernst
  date_created: 2024-07-16T12:02:25Z
  date_updated: 2024-07-16T12:02:25Z
  file_id: '17263'
  file_name: 2024_TheorComputerScience_Schmid.pdf
  file_size: 603570
  relation: main_file
  success: 1
file_date_updated: 2024-07-16T12:02:25Z
has_accepted_license: '1'
intvolume: '       989'
isi: 1
keyword:
- General Computer Science
- Theoretical Computer Science
language:
- iso: eng
month: '03'
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: Theoretical Computer Science
publication_identifier:
  issn:
  - 0304-3975
publication_status: published
publisher: Elsevier
quality_controlled: '1'
related_material:
  record:
  - id: '19985'
    relation: earlier_version
    status: public
scopus_import: '1'
status: public
title: 'Weighted packet selection for rechargeable links in cryptocurrency networks:
  Complexity and approximation'
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: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 989
year: '2024'
...
---
_id: '13988'
abstract:
- lang: eng
  text: Most permissionless blockchains inherently suffer from throughput limitations.
    Layer-2 systems, such as side-chains or Rollups, have been proposed as a possible
    strategy to overcome this limitation. Layer-2 systems interact with the main-chain
    in two ways. First, users can move funds from/to the main-chain to/from the layer-2.
    Second, layer-2 systems periodically synchronize with the main-chain to keep some
    form of log of their activity on the main-chain - this log is key for security.
    Due to this interaction with the main-chain, which is necessary and recurrent,
    layer-2 systems impose some load on the main-chain. The impact of such load on
    the main-chain has been, so far, poorly understood. In addition to that, layer-2
    approaches typically sacrifice decentralization and security in favor of higher
    throughput. This paper presents an experimental study that analyzes the current
    state of Ethereum layer-2 projects. Our goal is to assess the load they impose
    on Ethereum and to understand their scalability potential in the long-run. Our
    analysis shows that the impact of any given layer-2 on the main-chain is the result
    of both technical aspects (how state is logged on the main-chain) and user behavior
    (how often users decide to transfer funds between the layer-2 and the main-chain).
    Based on our observations, we infer that without efficient mechanisms that allow
    users to transfer funds in a secure and fast manner directly from one layer-2
    project to another, current layer-2 systems will not be able to scale Ethereum
    effectively, regardless of their technical solutions. Furthermore, from our results,
    we conclude that the layer-2 systems that offer similar security guarantees as
    Ethereum have limited scalability potential, while approaches that offer better
    performance, sacrifice security and lead to an increase in centralization which
    runs against the end-goals of permissionless blockchains.
acknowledgement: This work was supported in part by the Coordenação de Aperfeiçoamento
  de Pessoal de Nivel Superior (CAPES)—Brazil (CAPES), in part by the Fundação para
  a Ciência e Tecnologia (FCT) under Project UIDB/50021/2020 and Grant 2020.05270.BD,
  in part by the Project COSMOS (via the Orçamento de Estado (OE) with ref. PTDC/EEI-COM/29271/2017
  and via the ‘‘Programa Operacional Regional de Lisboa na sua componente Fundo Europeu
  de Desenvolvimento Regional (FEDER)’’ with ref. Lisboa-01-0145-FEDER-029271), and
  in part by the project Angainor with reference LISBOA-01-0145-FEDER-031456 as well
  as supported by Meta Platforms for the project key Transparency at Scale.
article_processing_charge: Yes
article_type: original
author:
- first_name: Ray
  full_name: Neiheiser, Ray
  id: f09651b9-fec0-11ec-b5d8-934aff0e52a4
  last_name: Neiheiser
  orcid: 0000-0001-7227-8309
- first_name: Gustavo
  full_name: Inacio, Gustavo
  last_name: Inacio
- first_name: Luciana
  full_name: Rech, Luciana
  last_name: Rech
- first_name: Carlos
  full_name: Montez, Carlos
  last_name: Montez
- first_name: Miguel
  full_name: Matos, Miguel
  last_name: Matos
- first_name: Luis
  full_name: Rodrigues, Luis
  last_name: Rodrigues
citation:
  ama: Neiheiser R, Inacio G, Rech L, Montez C, Matos M, Rodrigues L. Practical limitations
    of Ethereum’s layer-2. <i>IEEE Access</i>. 2023;11:8651-8662. doi:<a href="https://doi.org/10.1109/access.2023.3237897">10.1109/access.2023.3237897</a>
  apa: Neiheiser, R., Inacio, G., Rech, L., Montez, C., Matos, M., &#38; Rodrigues,
    L. (2023). Practical limitations of Ethereum’s layer-2. <i>IEEE Access</i>. Institute
    of Electrical and Electronics Engineers. <a href="https://doi.org/10.1109/access.2023.3237897">https://doi.org/10.1109/access.2023.3237897</a>
  chicago: Neiheiser, Ray, Gustavo Inacio, Luciana Rech, Carlos Montez, Miguel Matos,
    and Luis Rodrigues. “Practical Limitations of Ethereum’s Layer-2.” <i>IEEE Access</i>.
    Institute of Electrical and Electronics Engineers, 2023. <a href="https://doi.org/10.1109/access.2023.3237897">https://doi.org/10.1109/access.2023.3237897</a>.
  ieee: R. Neiheiser, G. Inacio, L. Rech, C. Montez, M. Matos, and L. Rodrigues, “Practical
    limitations of Ethereum’s layer-2,” <i>IEEE Access</i>, vol. 11. Institute of
    Electrical and Electronics Engineers, pp. 8651–8662, 2023.
  ista: Neiheiser R, Inacio G, Rech L, Montez C, Matos M, Rodrigues L. 2023. Practical
    limitations of Ethereum’s layer-2. IEEE Access. 11, 8651–8662.
  mla: Neiheiser, Ray, et al. “Practical Limitations of Ethereum’s Layer-2.” <i>IEEE
    Access</i>, vol. 11, Institute of Electrical and Electronics Engineers, 2023,
    pp. 8651–62, doi:<a href="https://doi.org/10.1109/access.2023.3237897">10.1109/access.2023.3237897</a>.
  short: R. Neiheiser, G. Inacio, L. Rech, C. Montez, M. Matos, L. Rodrigues, IEEE
    Access 11 (2023) 8651–8662.
corr_author: '1'
date_created: 2023-08-09T12:09:57Z
date_published: 2023-08-01T00:00:00Z
date_updated: 2024-10-09T21:06:38Z
day: '01'
ddc:
- '000'
department:
- _id: ElKo
doi: 10.1109/access.2023.3237897
external_id:
  isi:
  - '000927831000001'
file:
- access_level: open_access
  checksum: 4b80b0ff212edf7e5842fbdd53784432
  content_type: application/pdf
  creator: dernst
  date_created: 2023-08-22T06:37:48Z
  date_updated: 2023-08-22T06:37:48Z
  file_id: '14166'
  file_name: 2023_IEEEAccess_Neiheiser.pdf
  file_size: 1289285
  relation: main_file
  success: 1
file_date_updated: 2023-08-22T06:37:48Z
has_accepted_license: '1'
intvolume: '        11'
isi: 1
keyword:
- General Engineering
- General Materials Science
- General Computer Science
- Electrical and Electronic Engineering
language:
- iso: eng
month: '08'
oa: 1
oa_version: Published Version
page: 8651-8662
publication: IEEE Access
publication_identifier:
  issn:
  - 2169-3536
publication_status: published
publisher: Institute of Electrical and Electronics Engineers
quality_controlled: '1'
scopus_import: '1'
status: public
title: Practical limitations of Ethereum’s layer-2
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: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 11
year: '2023'
...
---
_id: '12563'
abstract:
- lang: eng
  text: 'he approximate graph coloring problem, whose complexity is unresolved in
    most cases, concerns finding a c-coloring of a graph that is promised to be k-colorable,
    where c≥k. This problem naturally generalizes to promise graph homomorphism problems
    and further to promise constraint satisfaction problems. The complexity of these
    problems has recently been studied through an algebraic approach. In this paper,
    we introduce two new techniques to analyze the complexity of promise CSPs: one
    is based on topology and the other on adjunction. We apply these techniques, together
    with the previously introduced algebraic approach, to obtain new unconditional
    NP-hardness results for a significant class of approximate graph coloring and
    promise graph homomorphism problems.'
acknowledgement: "Andrei Krokhin and Jakub Opršal were supported by the UK EPSRC grant
  EP/R034516/1. Jakub Opršal has received funding from the European Union’s Horizon
  2020 research and innovation programme under the Marie Skłodowska-Curie Grant Agreement
  No 101034413. Stanislav Živný was supported by a Royal Society University Research
  Fellowship. 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 714532). The paper re\x1Eects only the authors’ views and not
  the views of the ERC or the European Commission. "
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Andrei
  full_name: Krokhin, Andrei
  last_name: Krokhin
- first_name: Jakub
  full_name: Opršal, Jakub
  id: ec596741-c539-11ec-b829-c79322a91242
  last_name: Opršal
  orcid: 0000-0003-1245-3456
- first_name: Marcin
  full_name: Wrochna, Marcin
  last_name: Wrochna
- first_name: Stanislav
  full_name: Živný, Stanislav
  last_name: Živný
citation:
  ama: Krokhin A, Opršal J, Wrochna M, Živný S. Topology and adjunction in promise
    constraint satisfaction. <i>SIAM Journal on Computing</i>. 2023;52(1):38-79. doi:<a
    href="https://doi.org/10.1137/20m1378223">10.1137/20m1378223</a>
  apa: Krokhin, A., Opršal, J., Wrochna, M., &#38; Živný, S. (2023). Topology and
    adjunction in promise constraint satisfaction. <i>SIAM Journal on Computing</i>.
    Society for Industrial and Applied Mathematics. <a href="https://doi.org/10.1137/20m1378223">https://doi.org/10.1137/20m1378223</a>
  chicago: Krokhin, Andrei, Jakub Opršal, Marcin Wrochna, and Stanislav Živný. “Topology
    and Adjunction in Promise Constraint Satisfaction.” <i>SIAM Journal on Computing</i>.
    Society for Industrial and Applied Mathematics, 2023. <a href="https://doi.org/10.1137/20m1378223">https://doi.org/10.1137/20m1378223</a>.
  ieee: A. Krokhin, J. Opršal, M. Wrochna, and S. Živný, “Topology and adjunction
    in promise constraint satisfaction,” <i>SIAM Journal on Computing</i>, vol. 52,
    no. 1. Society for Industrial and Applied Mathematics, pp. 38–79, 2023.
  ista: Krokhin A, Opršal J, Wrochna M, Živný S. 2023. Topology and adjunction in
    promise constraint satisfaction. SIAM Journal on Computing. 52(1), 38–79.
  mla: Krokhin, Andrei, et al. “Topology and Adjunction in Promise Constraint Satisfaction.”
    <i>SIAM Journal on Computing</i>, vol. 52, no. 1, Society for Industrial and Applied
    Mathematics, 2023, pp. 38–79, doi:<a href="https://doi.org/10.1137/20m1378223">10.1137/20m1378223</a>.
  short: A. Krokhin, J. Opršal, M. Wrochna, S. Živný, SIAM Journal on Computing 52
    (2023) 38–79.
date_created: 2023-02-16T07:03:52Z
date_published: 2023-01-01T00:00:00Z
date_updated: 2025-05-14T10:51:32Z
day: '01'
department:
- _id: UlWa
doi: 10.1137/20m1378223
ec_funded: 1
external_id:
  arxiv:
  - '2003.11351'
  isi:
  - '000955000000001'
intvolume: '        52'
isi: 1
issue: '1'
keyword:
- General Mathematics
- General Computer Science
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.48550/arXiv.2003.11351
month: '01'
oa: 1
oa_version: Preprint
page: 38-79
project:
- _id: fc2ed2f7-9c52-11eb-aca3-c01059dda49c
  call_identifier: H2020
  grant_number: '101034413'
  name: 'IST-BRIDGE: International postdoctoral program'
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: Topology and adjunction in promise constraint satisfaction
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 52
year: '2023'
...
---
_id: '10208'
abstract:
- lang: eng
  text: It is practical to collect a huge amount of movement data and environmental
    context information along with the health signals of individuals because there
    is the emergence of new generations of positioning and tracking technologies and
    rapid advancements of health sensors. The study of the relations between these
    datasets and their sequence similarity analysis is of interest to many applications
    such as health monitoring and recommender systems. However, entering all movement
    parameters and health signals can lead to the complexity of the problem and an
    increase in its computational load. In this situation, dimension reduction techniques
    can be used to avoid consideration of simultaneous dependent parameters in the
    process of similarity measurement of the trajectories. The present study provides
    a framework, named CaDRAW, to use spatial–temporal data and movement parameters
    along with independent context information in the process of measuring the similarity
    of trajectories. In this regard, the omission of dependent movement characteristic
    signals is conducted by using an unsupervised feature selection dimension reduction
    technique. To evaluate the effectiveness of the proposed framework, it was applied
    to a real contextualized movement and related health signal datasets of individuals.
    The results indicated the capability of the proposed framework in measuring the
    similarity and in decreasing the characteristic signals in such a way that the
    similarity results -before and after reduction of dependent characteristic signals-
    have small differences. The mean differences between the obtained results before
    and after reducing the dimension were 0.029 and 0.023 for the round path, respectively.
acknowledgement: The third author acknowledges the funding received from the Wittgenstein
  Prize, Austrian Science Fund (FWF), grant no. Z 342-N31.
article_processing_charge: No
article_type: original
author:
- first_name: Samira
  full_name: Goudarzi, Samira
  last_name: Goudarzi
- first_name: Mohammad
  full_name: Sharif, Mohammad
  last_name: Sharif
- first_name: Farid
  full_name: Karimipour, Farid
  id: 2A2BCDC4-CF62-11E9-BE5E-3B1EE6697425
  last_name: Karimipour
  orcid: 0000-0001-6746-4174
citation:
  ama: Goudarzi S, Sharif M, Karimipour F. A context-aware dimension reduction framework
    for trajectory and health signal analyses. <i>Journal of Ambient Intelligence
    and Humanized Computing</i>. 2022;13:2621–2635. doi:<a href="https://doi.org/10.1007/s12652-021-03569-z">10.1007/s12652-021-03569-z</a>
  apa: Goudarzi, S., Sharif, M., &#38; Karimipour, F. (2022). A context-aware dimension
    reduction framework for trajectory and health signal analyses. <i>Journal of Ambient
    Intelligence and Humanized Computing</i>. Springer Nature. <a href="https://doi.org/10.1007/s12652-021-03569-z">https://doi.org/10.1007/s12652-021-03569-z</a>
  chicago: Goudarzi, Samira, Mohammad Sharif, and Farid Karimipour. “A Context-Aware
    Dimension Reduction Framework for Trajectory and Health Signal Analyses.” <i>Journal
    of Ambient Intelligence and Humanized Computing</i>. Springer Nature, 2022. <a
    href="https://doi.org/10.1007/s12652-021-03569-z">https://doi.org/10.1007/s12652-021-03569-z</a>.
  ieee: S. Goudarzi, M. Sharif, and F. Karimipour, “A context-aware dimension reduction
    framework for trajectory and health signal analyses,” <i>Journal of Ambient Intelligence
    and Humanized Computing</i>, vol. 13. Springer Nature, pp. 2621–2635, 2022.
  ista: Goudarzi S, Sharif M, Karimipour F. 2022. A context-aware dimension reduction
    framework for trajectory and health signal analyses. Journal of Ambient Intelligence
    and Humanized Computing. 13, 2621–2635.
  mla: Goudarzi, Samira, et al. “A Context-Aware Dimension Reduction Framework for
    Trajectory and Health Signal Analyses.” <i>Journal of Ambient Intelligence and
    Humanized Computing</i>, vol. 13, Springer Nature, 2022, pp. 2621–2635, doi:<a
    href="https://doi.org/10.1007/s12652-021-03569-z">10.1007/s12652-021-03569-z</a>.
  short: S. Goudarzi, M. Sharif, F. Karimipour, Journal of Ambient Intelligence and
    Humanized Computing 13 (2022) 2621–2635.
date_created: 2021-11-02T09:28:55Z
date_published: 2022-05-01T00:00:00Z
date_updated: 2025-04-15T07:16:55Z
day: '01'
ddc:
- '000'
department:
- _id: HeEd
doi: 10.1007/s12652-021-03569-z
external_id:
  isi:
  - '000712198000001'
file:
- access_level: open_access
  checksum: 0a8961416a9bb2be5a1cebda65468bcf
  content_type: application/pdf
  creator: fkarimip
  date_created: 2021-11-12T19:38:05Z
  date_updated: 2022-12-20T23:30:08Z
  embargo: 2022-11-12
  file_id: '10279'
  file_name: A Context‑aware Dimension Reduction Framework - Journal of Ambient Intelligence
    2021 (Preprint version).pdf
  file_size: 1634958
  relation: main_file
file_date_updated: 2022-12-20T23:30:08Z
has_accepted_license: '1'
intvolume: '        13'
isi: 1
keyword:
- general computer science
language:
- iso: eng
month: '05'
oa: 1
oa_version: Submitted Version
page: 2621–2635
project:
- _id: 268116B8-B435-11E9-9278-68D0E5697425
  call_identifier: FWF
  grant_number: Z00342
  name: Mathematics, Computer Science
publication: Journal of Ambient Intelligence and Humanized Computing
publication_identifier:
  eissn:
  - 1868-5145
  issn:
  - 1868-5137
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: A context-aware dimension reduction framework for trajectory and health signal
  analyses
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 13
year: '2022'
...
---
_id: '15271'
abstract:
- lang: eng
  text: 'We settle the complexity of the (∆ + 1)-coloring and (∆ + 1)-list coloring
    problems intheCONGESTED CLIQUEmodel by presenting a simpledeterministicalgorithm
    for both problemsrunning in a constant number of rounds.  This matches the complexity
    of the recent breakthroughrandomizedconstant-round (∆ + 1)-list coloring algorithm
    due to Chang et al.  [Proceedings of the38th  ACM  Symposium  on  Principles  of  Distributed  Computing,  2019]  and  significantly  improvesupon
    the state-of-the-artO(log ∆)-round deterministic (∆ + 1)-coloring bound of Parter
    [Proceed-ings of the 45th Annual International Colloquium on Automata, Languages
    and Programming].  Aremarkable property of our algorithm is its simplicity.  Whereas
    the state-of-the-artrandomizedal-gorithms for this problem are based on the quite
    involved local coloring algorithm of Chang, Li, andPettie [Proceedings of the
    50th Annual ACM SIGACT Symposium on Theory of Computing, 2018],our algorithm can
    be described in just a few lines.  At a high level, it applies a careful derandomiza-tion
    of a recursive procedure which partitions the nodes and their respective palettes
    into separatebins.  We show that afterO(1) recursion steps, the remaining uncolored
    subgraph within each bin haslinear size and thus can be solved locally by collecting
    it to a single node.  This algorithm can alsobe implemented in the massively parallel
    computation (MPC) model provided that each machine haslinear (inn, the number
    of nodes in the input graph) space.  We also show an extension of our algo-rithm
    to theMPCregime, in which machines havesublinearspace:  we present the first deterministic(∆
    + 1)-list coloring algorithm designed for sublinear-spaceMPC, which runs inO(log
    ∆ + log logn)rounds.'
acknowledgement: The  first  author  was  partially  supported  by  the  Centre  for  Discrete  Mathematics
  and its Applications, by the IBM Faculty Award, and by the EPSRC award EP/N011163/1.  The
  second author was partially supported by the European Union’s Horizon 2020 research
  and innovation program under the Marie Sklodowska-Curie grant agreement 754411.  The
  first and third authors were partially supported by a Weizmann-UK Making Connections
  grant.
article_processing_charge: No
article_type: original
author:
- first_name: Artur
  full_name: Czumaj, Artur
  last_name: Czumaj
- first_name: Peter
  full_name: Davies, Peter
  id: 11396234-BB50-11E9-B24C-90FCE5697425
  last_name: Davies
  orcid: 0000-0002-5646-9524
- first_name: Merav
  full_name: Parter, Merav
  last_name: Parter
citation:
  ama: Czumaj A, Davies P, Parter M. Simple, deterministic, constant-round coloring
    in congested clique and MPC. <i>SIAM Journal on Computing</i>. 2021;50(5):1603-1626.
    doi:<a href="https://doi.org/10.1137/20m1366502">10.1137/20m1366502</a>
  apa: Czumaj, A., Davies, P., &#38; Parter, M. (2021). Simple, deterministic, constant-round
    coloring in congested clique and MPC. <i>SIAM Journal on Computing</i>. Society
    for Industrial and Applied Mathematics. <a href="https://doi.org/10.1137/20m1366502">https://doi.org/10.1137/20m1366502</a>
  chicago: Czumaj, Artur, Peter Davies, and Merav Parter. “Simple, Deterministic,
    Constant-Round Coloring in Congested Clique and MPC.” <i>SIAM Journal on Computing</i>.
    Society for Industrial and Applied Mathematics, 2021. <a href="https://doi.org/10.1137/20m1366502">https://doi.org/10.1137/20m1366502</a>.
  ieee: A. Czumaj, P. Davies, and M. Parter, “Simple, deterministic, constant-round
    coloring in congested clique and MPC,” <i>SIAM Journal on Computing</i>, vol.
    50, no. 5. Society for Industrial and Applied Mathematics, pp. 1603–1626, 2021.
  ista: Czumaj A, Davies P, Parter M. 2021. Simple, deterministic, constant-round
    coloring in congested clique and MPC. SIAM Journal on Computing. 50(5), 1603–1626.
  mla: Czumaj, Artur, et al. “Simple, Deterministic, Constant-Round Coloring in Congested
    Clique and MPC.” <i>SIAM Journal on Computing</i>, vol. 50, no. 5, Society for
    Industrial and Applied Mathematics, 2021, pp. 1603–26, doi:<a href="https://doi.org/10.1137/20m1366502">10.1137/20m1366502</a>.
  short: A. Czumaj, P. Davies, M. Parter, SIAM Journal on Computing 50 (2021) 1603–1626.
date_created: 2024-04-03T07:53:22Z
date_published: 2021-01-01T00:00:00Z
date_updated: 2025-09-10T10:14:11Z
day: '01'
department:
- _id: DaAl
doi: 10.1137/20m1366502
ec_funded: 1
external_id:
  isi:
  - '000713008600004'
intvolume: '        50'
isi: 1
issue: '5'
keyword:
- General Mathematics
- General Computer Science
language:
- iso: eng
month: '01'
oa_version: None
page: 1603-1626
project:
- _id: 260C2330-B435-11E9-9278-68D0E5697425
  call_identifier: H2020
  grant_number: '754411'
  name: ISTplus - Postdoctoral Fellowships
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: Simple, deterministic, constant-round coloring in congested clique and MPC
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 50
year: '2021'
...
