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DOI: 10.4230/LIPIcs.ISAAC.2021.59

Distributed Approximations of f-Matchings and b-Matchings in Graphs of Sub-Logarithmic Expansion

Authors: Andrzej Czygrinow, Michał Hanćkowiak, and Marcin Witkowski

Published in: LIPIcs, Volume 212, 32nd International Symposium on Algorithms and Computation (ISAAC 2021)

Abstract

We give a distributed algorithm which given ε > 0 finds a (1-ε)-factor approximation of a maximum f-matching in graphs G = (V,E) of sub-logarithmic expansion. Using a similar approach we also give a distributed approximation of a maximum b-matching in the same class of graphs provided the function b: V → ℤ^+ is L-Lipschitz for some constant L. Both algorithms run in O(log^* n) rounds in the LOCAL model, which is optimal.

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Andrzej Czygrinow, Michał Hanćkowiak, and Marcin Witkowski. Distributed Approximations of f-Matchings and b-Matchings in Graphs of Sub-Logarithmic Expansion. In 32nd International Symposium on Algorithms and Computation (ISAAC 2021). Leibniz International Proceedings in Informatics (LIPIcs), Volume 212, pp. 59:1-59:13, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2021)

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@InProceedings{czygrinow_et_al:LIPIcs.ISAAC.2021.59,
  author =	{Czygrinow, Andrzej and Han\'{c}kowiak, Micha{\l} and Witkowski, Marcin},
  title =	{{Distributed Approximations of f-Matchings and b-Matchings in Graphs of Sub-Logarithmic Expansion}},
  booktitle =	{32nd International Symposium on Algorithms and Computation (ISAAC 2021)},
  pages =	{59:1--59:13},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-214-3},
  ISSN =	{1868-8969},
  year =	{2021},
  volume =	{212},
  editor =	{Ahn, Hee-Kap and Sadakane, Kunihiko},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops-dev.dagstuhl.de/entities/document/10.4230/LIPIcs.ISAAC.2021.59},
  URN =		{urn:nbn:de:0030-drops-154925},
  doi =		{10.4230/LIPIcs.ISAAC.2021.59},
  annote =	{Keywords: Distributed algorithms, f-matching, b-matching}
}

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Documents authored by Hanćkowiak, Michał

Distributed Approximations of f-Matchings and b-Matchings in Graphs of Sub-Logarithmic Expansion

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