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DOI: 10.4230/LIPIcs.OPODIS.2016.8

k-Set Agreement in Communication Networks with Omission Faults

Authors: Emmanuel Godard and Eloi Perdereau

Published in: LIPIcs, Volume 70, 20th International Conference on Principles of Distributed Systems (OPODIS 2016)

Abstract

We consider an arbitrary communication network G where at most f messages can be lost at each round, and consider the classical k-set agreement problem in this setting. We characterize exactly for which f the k-set agreement problem can be solved on G. The case with k = 1, that is the Consensus problem, has first been introduced by Santoro and Widmayer in 1989, the characterization is already known from [Coulouma/Godard/Peters, TCS, 2015]. As a first contribution, we present a detailed and complete characterization for the 2-set problem. The proof of the impossibility result uses topological methods. We introduce a new subdivision approach for these topological methods that is of independent interest. In the second part, we show how to extend to the general case with k in N. This characterization is the first complete characterization for this kind of synchronous message passing model, a model that is a subclass of the family of oblivious message adversaries.

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Emmanuel Godard and Eloi Perdereau. k-Set Agreement in Communication Networks with Omission Faults. In 20th International Conference on Principles of Distributed Systems (OPODIS 2016). Leibniz International Proceedings in Informatics (LIPIcs), Volume 70, pp. 8:1-8:17, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2017)

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@InProceedings{godard_et_al:LIPIcs.OPODIS.2016.8,
  author =	{Godard, Emmanuel and Perdereau, Eloi},
  title =	{{k-Set Agreement in Communication Networks with Omission Faults}},
  booktitle =	{20th International Conference on Principles of Distributed Systems (OPODIS 2016)},
  pages =	{8:1--8:17},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-031-6},
  ISSN =	{1868-8969},
  year =	{2017},
  volume =	{70},
  editor =	{Fatourou, Panagiota and Jim\'{e}nez, Ernesto and Pedone, Fernando},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops-dev.dagstuhl.de/entities/document/10.4230/LIPIcs.OPODIS.2016.8},
  URN =		{urn:nbn:de:0030-drops-70775},
  doi =		{10.4230/LIPIcs.OPODIS.2016.8},
  annote =	{Keywords: k-set agreement, message passing, dynamic networks, message adversary, omission faults}
}

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1 Search Results for "Perdereau, Eloi"

k-Set Agreement in Communication Networks with Omission Faults

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