How to meet in anonymous network

Dariusz R. Kowalski, Adam Malinowski

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

A set of k mobile agents with distinct identifiers and located in nodes of an unknown anonymous connected network, have to meet at some node. We show that this gathering problem is no harder than its special case for k = 2, called the rendezvous problem, and design deterministic protocols solving the rendezvous problem with arbitrary startups in rings and in general networks. The measure of performance is the number of steps since the startup of the last agent until the rendezvous is achieved. For rings we design an oblivious protocol with cost O(nlogℓ), where n is the size of the network and ℓ is the minimum label of participating agents. This result is asymptotically optimal due to the lower bound showed in [18]. For general networks we show a protocol with cost polynomial in n and logℓ, independent of the maximum difference τ of startup times, which answers in affirmative the open question from [22].

Original languageEnglish (US)
Title of host publicationStructural Information and Communication Complexity - 13th International Colloquium, SIROCCO 2006, Proceedings
PublisherSpringer Verlag
Pages44-58
Number of pages15
ISBN (Print)3540354743, 9783540354741
StatePublished - Jan 1 2006
Externally publishedYes
Event13th International Colloquium on Structural Information and Communication Complexity, SIROCCO 2006 - Chester, United Kingdom
Duration: Jul 2 2006Jul 5 2006

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume4056 LNCS
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference13th International Colloquium on Structural Information and Communication Complexity, SIROCCO 2006
CountryUnited Kingdom
CityChester
Period7/2/067/5/06

Fingerprint

Anonymous Networks
Rendezvous
Network protocols
Start-up
Mobile agents
Ring
Labels
Costs
Mobile Agent
Asymptotically Optimal
Vertex of a graph
Polynomials
Lower bound
Distinct
Unknown
Polynomial
Arbitrary

Keywords

  • Anonymous networks
  • Distributed algorithms
  • Gathering
  • Mobile agents
  • Rendezvous

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Computer Science(all)

Cite this

Kowalski, D. R., & Malinowski, A. (2006). How to meet in anonymous network. In Structural Information and Communication Complexity - 13th International Colloquium, SIROCCO 2006, Proceedings (pp. 44-58). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 4056 LNCS). Springer Verlag.

How to meet in anonymous network. / Kowalski, Dariusz R.; Malinowski, Adam.

Structural Information and Communication Complexity - 13th International Colloquium, SIROCCO 2006, Proceedings. Springer Verlag, 2006. p. 44-58 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 4056 LNCS).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Kowalski, DR & Malinowski, A 2006, How to meet in anonymous network. in Structural Information and Communication Complexity - 13th International Colloquium, SIROCCO 2006, Proceedings. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 4056 LNCS, Springer Verlag, pp. 44-58, 13th International Colloquium on Structural Information and Communication Complexity, SIROCCO 2006, Chester, United Kingdom, 7/2/06.
Kowalski DR, Malinowski A. How to meet in anonymous network. In Structural Information and Communication Complexity - 13th International Colloquium, SIROCCO 2006, Proceedings. Springer Verlag. 2006. p. 44-58. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).
Kowalski, Dariusz R. ; Malinowski, Adam. / How to meet in anonymous network. Structural Information and Communication Complexity - 13th International Colloquium, SIROCCO 2006, Proceedings. Springer Verlag, 2006. pp. 44-58 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).
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