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.ISAAC.2019.43
URN: urn:nbn:de:0030-drops-115393
URL: https://drops.dagstuhl.de/opus/volltexte/2019/11539/
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Papp, Pál András ; Wattenhofer, Roger

Stabilization Time in Minority Processes

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LIPIcs-ISAAC-2019-43.pdf (0.5 MB)


Abstract

We analyze the stabilization time of minority processes in graphs. A minority process is a dynamically changing coloring, where each node repeatedly changes its color to the color which is least frequent in its neighborhood. First, we present a simple Omega(n^2) stabilization time lower bound in the sequential adversarial model. Our main contribution is a graph construction which proves a Omega(n^(2-epsilon)) stabilization time lower bound for any epsilon>0. This lower bound holds even if the order of nodes is chosen benevolently, not only in the sequential model, but also in any reasonable concurrent model of the process.

BibTeX - Entry

@InProceedings{papp_et_al:LIPIcs:2019:11539,
  author =	{P{\'a}l Andr{\'a}s Papp and Roger Wattenhofer},
  title =	{{Stabilization Time in Minority Processes}},
  booktitle =	{30th International Symposium on Algorithms and Computation (ISAAC 2019)},
  pages =	{43:1--43:19},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-130-6},
  ISSN =	{1868-8969},
  year =	{2019},
  volume =	{149},
  editor =	{Pinyan Lu and Guochuan Zhang},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/opus/volltexte/2019/11539},
  URN =		{urn:nbn:de:0030-drops-115393},
  doi =		{10.4230/LIPIcs.ISAAC.2019.43},
  annote =	{Keywords: Minority process, Benevolent model}
}

Keywords: Minority process, Benevolent model
Collection: 30th International Symposium on Algorithms and Computation (ISAAC 2019)
Issue Date: 2019
Date of publication: 28.11.2019


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