License: Creative Commons Attribution 3.0 Unported license (CC BY 3.0)
When quoting this document, please refer to the following
DOI: 10.4230/LIPIcs.ICALP.2019.142
URN: urn:nbn:de:0030-drops-107187
URL: http://dagstuhl.sunsite.rwth-aachen.de/volltexte/2019/10718/
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Ghaffari, Mohsen ; Sayyadi, Ali

Distributed Arboricity-Dependent Graph Coloring via All-to-All Communication

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LIPIcs-ICALP-2019-142.pdf (0.5 MB)

Abstract

We present a constant-time randomized distributed algorithms in the congested clique model that computes an O(alpha)-vertex-coloring, with high probability. Here, alpha denotes the arboricity of the graph, which is, roughly speaking, the edge-density of the densest subgraph. Congested clique is a well-studied model of synchronous message passing for distributed computing with all-to-all communication: per round each node can send one O(log n)-bit message algorithm to each other node. Our O(1)-round algorithm settles the randomized round complexity of the O(alpha)-coloring problem. We also explain that a similar method can provide a constant-time randomized algorithm for decomposing the graph into O(alpha) edge-disjoint forests, so long as alpha <= n^{1-o(1)}.

BibTeX - Entry

@InProceedings{ghaffari_et_al:LIPIcs:2019:10718,
  author =	{Mohsen Ghaffari and Ali Sayyadi},
  title =	{{Distributed Arboricity-Dependent Graph Coloring via All-to-All Communication}},
  booktitle =	{46th International Colloquium on Automata, Languages, and Programming (ICALP 2019)},
  pages =	{142:1--142:14},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-109-2},
  ISSN =	{1868-8969},
  year =	{2019},
  volume =	{132},
  editor =	{Christel Baier and Ioannis Chatzigiannakis and Paola Flocchini and Stefano Leonardi},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2019/10718},
  URN =		{urn:nbn:de:0030-drops-107187},
  doi =		{10.4230/LIPIcs.ICALP.2019.142},
  annote =	{Keywords: Distributed Computing, Message Passing Algorithms, Graph Coloring, Arboricity, Congested Clique Model, Randomized Algorithms}
}

Keywords: Distributed Computing, Message Passing Algorithms, Graph Coloring, Arboricity, Congested Clique Model, Randomized Algorithms
Collection: 46th International Colloquium on Automata, Languages, and Programming (ICALP 2019)
Issue Date: 2019
Date of publication: 04.07.2019

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