Improved distributed [Formula: see text] -coloring

We present a randomized distributed algorithm that computes a [Formula: see text] -coloring in any non-complete graph with maximum degree [Formula: see text] in [Formula: see text] rounds, as well as a randomized algorithm that computes a [Formula: see text] -coloring in [Formula: see text] rounds w...

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Detalles Bibliográficos
Autores principales: Ghaffari, Mohsen, Hirvonen, Juho, Kuhn, Fabian, Maus, Yannic
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer Berlin Heidelberg 2021
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8550726/
https://www.ncbi.nlm.nih.gov/pubmed/34720292
http://dx.doi.org/10.1007/s00446-021-00397-4
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author Ghaffari, Mohsen
Hirvonen, Juho
Kuhn, Fabian
Maus, Yannic
author_facet Ghaffari, Mohsen
Hirvonen, Juho
Kuhn, Fabian
Maus, Yannic
author_sort Ghaffari, Mohsen
collection PubMed
description We present a randomized distributed algorithm that computes a [Formula: see text] -coloring in any non-complete graph with maximum degree [Formula: see text] in [Formula: see text] rounds, as well as a randomized algorithm that computes a [Formula: see text] -coloring in [Formula: see text] rounds when [Formula: see text] . Both these algorithms improve on an [Formula: see text] -round algorithm of Panconesi and Srinivasan (STOC’93), which has remained the state of the art for the past 25 years. Moreover, the latter algorithm gets (exponentially) closer to an [Formula: see text] round lower bound of Brandt et al. (STOC’16).
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spelling pubmed-85507262021-10-29 Improved distributed [Formula: see text] -coloring Ghaffari, Mohsen Hirvonen, Juho Kuhn, Fabian Maus, Yannic Distrib Comput Article We present a randomized distributed algorithm that computes a [Formula: see text] -coloring in any non-complete graph with maximum degree [Formula: see text] in [Formula: see text] rounds, as well as a randomized algorithm that computes a [Formula: see text] -coloring in [Formula: see text] rounds when [Formula: see text] . Both these algorithms improve on an [Formula: see text] -round algorithm of Panconesi and Srinivasan (STOC’93), which has remained the state of the art for the past 25 years. Moreover, the latter algorithm gets (exponentially) closer to an [Formula: see text] round lower bound of Brandt et al. (STOC’16). Springer Berlin Heidelberg 2021-07-09 2021 /pmc/articles/PMC8550726/ /pubmed/34720292 http://dx.doi.org/10.1007/s00446-021-00397-4 Text en © The Author(s) 2021 https://creativecommons.org/licenses/by/4.0/Open AccessThis article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) .
spellingShingle Article
Ghaffari, Mohsen
Hirvonen, Juho
Kuhn, Fabian
Maus, Yannic
Improved distributed [Formula: see text] -coloring
title Improved distributed [Formula: see text] -coloring
title_full Improved distributed [Formula: see text] -coloring
title_fullStr Improved distributed [Formula: see text] -coloring
title_full_unstemmed Improved distributed [Formula: see text] -coloring
title_short Improved distributed [Formula: see text] -coloring
title_sort improved distributed [formula: see text] -coloring
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8550726/
https://www.ncbi.nlm.nih.gov/pubmed/34720292
http://dx.doi.org/10.1007/s00446-021-00397-4
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