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.DISC.2017.19
URN: urn:nbn:de:0030-drops-79794
URL: http://dagstuhl.sunsite.rwth-aachen.de/volltexte/2017/7979/
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Ghaffari, Mohsen ; Hirvonen, Juho ; Kuhn, Fabian ; Maus, Yannic ; Suomela, Jukka ; Uitto, Jara

Improved Distributed Degree Splitting and Edge Coloring

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LIPIcs-DISC-2017-19.pdf (0.8 MB)

Abstract

The degree splitting problem requires coloring the edges of a graph red or blue such that each node has almost the same number of edges in each color, up to a small additive discrepancy. The directed variant of the problem requires orienting the edges such that each node has almost the same number of incoming and outgoing edges, again up to a small additive discrepancy.

We present deterministic distributed algorithms for both variants, which improve on their counterparts presented by Ghaffari and Su [SODA'17]: our algorithms are significantly simpler and faster, and have a much smaller discrepancy. This also leads to a faster and simpler deterministic algorithm for (2+o(1))Delta-edge-coloring, improving on that of Ghaffari and Su.

BibTeX - Entry

@InProceedings{ghaffari_et_al:LIPIcs:2017:7979,
  author =	{Mohsen Ghaffari and Juho Hirvonen and Fabian Kuhn and Yannic Maus and Jukka Suomela and Jara Uitto},
  title =	{{Improved Distributed Degree Splitting and Edge Coloring}},
  booktitle =	{31st International Symposium on Distributed Computing (DISC 2017)},
  pages =	{19:1--19:15},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-053-8},
  ISSN =	{1868-8969},
  year =	{2017},
  volume =	{91},
  editor =	{Andr{\'e}a W. Richa},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2017/7979},
  URN =		{urn:nbn:de:0030-drops-79794},
  doi =		{10.4230/LIPIcs.DISC.2017.19},
  annote =	{Keywords: Distributed Graph Algorithms, Degree Splitting, Edge Coloring, Discrepancy}
}

Keywords: Distributed Graph Algorithms, Degree Splitting, Edge Coloring, Discrepancy
Collection: 31st International Symposium on Distributed Computing (DISC 2017)
Issue Date: 2017
Date of publication: 12.10.2017

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