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When quoting this document, please refer to the following
DOI: 10.4230/LIPIcs.DISC.2017.49
URN: urn:nbn:de:0030-drops-79981
URL: http://drops.dagstuhl.de/opus/volltexte/2017/7998/
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Eguchi, Ryota ; Izumi, Taisuke

Brief Announcement: Fast Aggregation in Population Protocols

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LIPIcs-DISC-2017-49.pdf (0.3 MB)


Abstract

The coalescence protocol plays an important role in the population protocol model. The conceptual structure of the protocol is for two agents holding two non-zero values a, b respectively to take a transition (a,b) -> (a+b, 0), where + is an arbitrary commutative binary operation. Obviously, it eventually aggregates the sum of all initial values. In this paper, we present a fast coalescence protocol that converges in O(sqrt(n) log^2 n) parallel time with high probability in the model with an initial leader (equivalently, the model with a base station), which achieves an substantial speed-up compared with the naive implementation taking Omega(n) time.

BibTeX - Entry

@InProceedings{eguchi_et_al:LIPIcs:2017:7998,
  author =	{Ryota Eguchi and Taisuke Izumi},
  title =	{{Brief Announcement: Fast Aggregation in Population Protocols}},
  booktitle =	{31st International Symposium on Distributed Computing (DISC 2017)},
  pages =	{49:1--49:3},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-053-8},
  ISSN =	{1868-8969},
  year =	{2017},
  volume =	{91},
  editor =	{Andr{\'e}a W. Richa},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2017/7998},
  URN =		{urn:nbn:de:0030-drops-79981},
  doi =		{10.4230/LIPIcs.DISC.2017.49},
  annote =	{Keywords: population protocol, aggregation}
}

Keywords: population protocol, aggregation
Seminar: 31st International Symposium on Distributed Computing (DISC 2017)
Issue Date: 2017
Date of publication: 05.10.2017


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