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.2020.42
URN: urn:nbn:de:0030-drops-131200
URL: https://drops.dagstuhl.de/opus/volltexte/2020/13120/
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Cruciani, Emilio ; Mimun, Hlafo Alfie ; Quattropani, Matteo ; Rizzo, Sara

Brief Announcement: Phase Transitions of the k-Majority Dynamics in a Biased Communication Model

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LIPIcs-DISC-2020-42.pdf (0.4 MB)


Abstract

We analyze the binary-state (either ℛ or ℬ) k-majority dynamics in a biased communication model where nodes have some fixed probability p, independent of the dynamics, of being seen in state ℬ by their neighbors. In this setting we study how p, as well as the initial unbalance between the two states, impact on the speed of convergence of the process, identifying sharp phase transitions.

BibTeX - Entry

@InProceedings{cruciani_et_al:LIPIcs:2020:13120,
  author =	{Emilio Cruciani and Hlafo Alfie Mimun and Matteo Quattropani and Sara Rizzo},
  title =	{{Brief Announcement: Phase Transitions of the k-Majority Dynamics in a Biased Communication Model}},
  booktitle =	{34th International Symposium on Distributed Computing (DISC 2020)},
  pages =	{42:1--42:3},
  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/2020/13120},
  URN =		{urn:nbn:de:0030-drops-131200},
  doi =		{10.4230/LIPIcs.DISC.2020.42},
  annote =	{Keywords: Biased Communication, Consensus, Majority Dynamics, Markov Chains, Metastability}
}

Keywords: Biased Communication, Consensus, Majority Dynamics, Markov Chains, Metastability
Collection: 34th International Symposium on Distributed Computing (DISC 2020)
Issue Date: 2020
Date of publication: 07.10.2020


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