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.2020.11
URN: urn:nbn:de:0030-drops-130892
URL: http://dagstuhl.sunsite.rwth-aachen.de/volltexte/2020/13089/
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Défago, Xavier ; Emek, Yuval ; Kutten, Shay ; Masuzawa, Toshimitsu ; Tamura, Yasumasa

Communication Efficient Self-Stabilizing Leader Election

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LIPIcs-DISC-2020-11.pdf (0.5 MB)

Abstract

This paper presents a randomized self-stabilizing algorithm that elects a leader r in a general n-node undirected graph and constructs a spanning tree T rooted at r. The algorithm works under the synchronous message passing network model, assuming that the nodes know a linear upper bound on n and that each edge has a unique ID known to both its endpoints (or, alternatively, assuming the KT₁ model). The highlight of this algorithm is its superior communication efficiency: It is guaranteed to send a total of Õ (n) messages, each of constant size, till stabilization, while stabilizing in Õ (n) rounds, in expectation and with high probability. After stabilization, the algorithm sends at most one constant size message per round while communicating only over the (n - 1) edges of T. In all these aspects, the communication overhead of the new algorithm is far smaller than that of the existing (mostly deterministic) self-stabilizing leader election algorithms.
The algorithm is relatively simple and relies mostly on known modules that are common in the fault free leader election literature; these modules are enhanced in various subtle ways in order to assemble them into a communication efficient self-stabilizing algorithm.

BibTeX - Entry

@InProceedings{dfago_et_al:LIPIcs:2020:13089,
  author =	{Xavier D{\'e}fago and Yuval Emek and Shay Kutten and Toshimitsu Masuzawa and Yasumasa Tamura},
  title =	{{Communication Efficient Self-Stabilizing Leader Election}},
  booktitle =	{34th International Symposium on Distributed Computing (DISC 2020)},
  pages =	{11:1--11:19},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-168-9},
  ISSN =	{1868-8969},
  year =	{2020},
  volume =	{179},
  editor =	{Hagit Attiya},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/opus/volltexte/2020/13089},
  URN =		{urn:nbn:de:0030-drops-130892},
  doi =		{10.4230/LIPIcs.DISC.2020.11},
  annote =	{Keywords: self-stabilization, leader election, communication overhead}
}

Keywords: self-stabilization, leader election, communication overhead
Collection: 34th International Symposium on Distributed Computing (DISC 2020)
Issue Date: 2020
Date of publication: 07.10.2020

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