Polynomial Silent Self-Stabilizing p-Star Decomposition

Mohammed Haddad, Colette Johnen, Sven Köhler

Research output: Contribution to journalArticlepeer-review

Abstract

We present a silent self-stabilizing distributed algorithm computing a maximal $ p$-star decomposition of the underlying communication network. Under the unfair distributed scheduler, the most general scheduler model, the algorithm converges in at most $12Delta m + mathcalO(m+n)$ moves, where $m$ is the number of edges, $n$ is the number of nodes and $Delta $ is the maximum node degree. Regarding the time complexity, we obtain the following results: our algorithm outperforms the previously known best algorithm by a factor of $Delta $ with respect to the move complexity. While the round complexity for the previous algorithm was unknown, we show a $5big lfloor fracnp+1 big rfloor +5$ bound for our algorithm.

Original languageEnglish
Pages (from-to)254-266
Number of pages13
JournalComputer Journal
Volume63
Issue number2
DOIs
StatePublished - 19 Feb 2020
Externally publishedYes

Bibliographical note

Publisher Copyright:
© 2019 The British Computer Society 2019. All rights reserved. For permissions, please email: [email protected].

Funding

This study was partially supported by the anr project descartes: ANR-16-CE40-0023, anr project estate: ANR- 16 CE25-0009-03 and by the Sustainability Center Freiburg, Germany. The Sustainability Center Freiburg is a cooperation of the Fraunhofer Society and the University of Freiburg and is supported by grants from the Baden-Wrttemberg Ministry of Economics and the Baden-Wrttemberg Ministry of Science, Research and the Arts. This study was partially supported by the anr project descartes: ANR-16-CE40-0023, anr project estate: ANR-16 CE25-0009-03 and by the Sustainability Center Freiburg, Germany. The Sustainability Center Freiburg is a cooperation of the Fraunhofer Society and the University of Freiburg and is supported by grants from the Baden-Württemberg Ministry of Economics and the Baden-Württemberg Ministry of Science, Research and the Arts.

FundersFunder number
Baden-Wrttemberg Ministry of Economics
Baden-Wrttemberg Ministry of Science, Research and the Arts
Baden-Württemberg Ministry of Economics
Fraunhofer Society
Albert-Ludwigs-Universität Freiburg
Fraunhofer-Gesellschaft
Ministerium für Wissenschaft, Forschung und Kunst Baden-Württemberg

    Keywords

    • distributed algorithm
    • graph decomposition
    • move complexity
    • p-star decomposition
    • round complexity
    • self-stabilization

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