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.OPODIS.2015.33
URN: urn:nbn:de:0030-drops-66761
URL: http://dagstuhl.sunsite.rwth-aachen.de/volltexte/2016/6676/
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Di Luna, Giuseppe ; Baldoni, Roberto

Non Trivial Computations in Anonymous Dynamic Networks

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Abstract

In this paper we consider a static set of anonymous processes, i.e., they do not have distinguished IDs, that communicate with neighbors using a local broadcast primitive. The communication graph changes at each computational round with the restriction of being always connected, i.e., the network topology guarantees 1-interval connectivity. In such setting non trivial computations, i.e., answering to a predicate like "there exists at least one process with initial input a?", are impossible. In a recent work, it has been conjectured that the impossibility holds even if a distinguished leader process is available within the computation. In this paper we prove that the conjecture is false. We show this result by implementing a deterministic leader-based terminating counting algorithm. In order to build our counting algorithm we first develop a counting technique that is time optimal on a family of dynamic graphs where each process has a fixed distance h from the leader and such distance does not change along rounds. Using this technique we build an algorithm that counts in anonymous 1-interval connected networks.

BibTeX - Entry

@InProceedings{diluna_et_al:LIPIcs:2016:6676,
  author =	{Giuseppe Di Luna and Roberto Baldoni},
  title =	{{Non Trivial Computations in Anonymous Dynamic Networks}},
  booktitle =	{19th International Conference on Principles of Distributed Systems (OPODIS 2015)},
  pages =	{1--16},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-939897-98-9},
  ISSN =	{1868-8969},
  year =	{2016},
  volume =	{46},
  editor =	{Emmanuelle Anceaume and Christian Cachin and Maria Potop-Butucaru},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2016/6676},
  URN =		{urn:nbn:de:0030-drops-66761},
  doi =		{10.4230/LIPIcs.OPODIS.2015.33},
  annote =	{Keywords: Distributed System, Anonymous Networks, Dynamic Networks}
}

Keywords: Distributed System, Anonymous Networks, Dynamic Networks
Collection: 19th International Conference on Principles of Distributed Systems (OPODIS 2015)
Issue Date: 2016
Date of publication: 13.10.2016

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