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DOI: 10.4230/LIPIcs.OPODIS.2017.19

Constant-Space Population Protocols for Uniform Bipartition

Authors: Hiroto Yasumi, Fukuhito Ooshita, Ken'ichi Yamaguchi, and Michiko Inoue

Published in: LIPIcs, Volume 95, 21st International Conference on Principles of Distributed Systems (OPODIS 2017)

Abstract

In this paper, we consider a uniform bipartition problem in a population protocol model. The goal of the uniform bipartition problem is to divide a population into two groups of the same size. We study the problem under various assumptions: 1) a population with or without a base station, 2) weak or global fairness, 3) symmetric or asymmetric protocols, and 4) designated or arbitrary initial states. As a result, we completely clarify constant-space solvability of the uniform bipartition problem and, if solvable, propose space-optimal protocols.

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Hiroto Yasumi, Fukuhito Ooshita, Ken'ichi Yamaguchi, and Michiko Inoue. Constant-Space Population Protocols for Uniform Bipartition. In 21st International Conference on Principles of Distributed Systems (OPODIS 2017). Leibniz International Proceedings in Informatics (LIPIcs), Volume 95, pp. 19:1-19:17, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2018)

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@InProceedings{yasumi_et_al:LIPIcs.OPODIS.2017.19,
  author =	{Yasumi, Hiroto and Ooshita, Fukuhito and Yamaguchi, Ken'ichi and Inoue, Michiko},
  title =	{{Constant-Space Population Protocols for Uniform Bipartition}},
  booktitle =	{21st International Conference on Principles of Distributed Systems (OPODIS 2017)},
  pages =	{19:1--19:17},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-061-3},
  ISSN =	{1868-8969},
  year =	{2018},
  volume =	{95},
  editor =	{Aspnes, James and Bessani, Alysson and Felber, Pascal and Leit\~{a}o, Jo\~{a}o},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.OPODIS.2017.19},
  URN =		{urn:nbn:de:0030-drops-86482},
  doi =		{10.4230/LIPIcs.OPODIS.2017.19},
  annote =	{Keywords: population protocol, uniform bipartition, distributed protocol}
}

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Constant-Space Population Protocols for Uniform Bipartition

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