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.2019.7
URN: urn:nbn:de:0030-drops-113145
URL: http://dagstuhl.sunsite.rwth-aachen.de/volltexte/2019/11314/
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Bitton, Shimon ; Emek, Yuval ; Izumi, Taisuke ; Kutten, Shay

Message Reduction in the LOCAL Model Is a Free Lunch

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LIPIcs-DISC-2019-7.pdf (0.6 MB)

Abstract

A new spanner construction algorithm is presented, working under the LOCAL model with unique edge IDs. Given an n-node communication graph, a spanner with a constant stretch and O(n^{1 + epsilon}) edges (for an arbitrarily small constant epsilon > 0) is constructed in a constant number of rounds sending O(n^{1 + epsilon}) messages whp. Consequently, we conclude that every t-round LOCAL algorithm can be transformed into an O(t)-round LOCAL algorithm that sends O(t * n^{1 + epsilon}) messages whp. This improves upon all previous message-reduction schemes for LOCAL algorithms that incur a log^{Omega (1)} n blow-up of the round complexity.

BibTeX - Entry

@InProceedings{bitton_et_al:LIPIcs:2019:11314,
  author =	{Shimon Bitton and Yuval Emek and Taisuke Izumi and Shay Kutten},
  title =	{{Message Reduction in the LOCAL Model Is a Free Lunch}},
  booktitle =	{33rd International Symposium on Distributed Computing (DISC 2019)},
  pages =	{7:1--7:15},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-126-9},
  ISSN =	{1868-8969},
  year =	{2019},
  volume =	{146},
  editor =	{Jukka Suomela},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2019/11314},
  URN =		{urn:nbn:de:0030-drops-113145},
  doi =		{10.4230/LIPIcs.DISC.2019.7},
  annote =	{Keywords: distributed graph algorithms, spanner, LOCAL model, message complexity}
}

Keywords: distributed graph algorithms, spanner, LOCAL model, message complexity
Collection: 33rd International Symposium on Distributed Computing (DISC 2019)
Issue Date: 2019
Date of publication: 08.10.2019

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