A New Self-Stabilizing Maximal Matching Algorithm

Fredrik Manne 1 Morten Mjelde 1 Laurence Pilard 2 Sébastien Tixeuil 3, 4
4 GRAND-LARGE - Global parallel and distributed computing
CNRS - Centre National de la Recherche Scientifique : UMR8623, Inria Saclay - Ile de France, UP11 - Université Paris-Sud - Paris 11, LIFL - Laboratoire d'Informatique Fondamentale de Lille, LRI - Laboratoire de Recherche en Informatique
Abstract : The maximal matching problem has received considerable attention in the self-stabilizing community. Previous work has given different self-stabilizing algorithms that solves the problem for both the adversarial and fair distributed daemon, the sequential adversarial daemon, as well as the synchronous daemon. In the following we present a single self-stabilizing algorithm for this problem that unites all of these algorithms in that it stabilizes in the same number of moves as the previous best algorithms for the sequential adversarial, the distributed fair, and the synchronous daemon. In addition, the algorithm improves the previous best moves complexities for the distributed adversarial daemon from O(n^2) and O(delta m) to O(m) where n is the number of processes, m is thenumber of edges, and delta is the maximum degree in the graph.
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Submitted on : Tuesday, February 6, 2007 - 10:28:57 AM
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  • HAL Id : inria-00127899, version 2
  • ARXIV : cs/0701189

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Fredrik Manne, Morten Mjelde, Laurence Pilard, Sébastien Tixeuil. A New Self-Stabilizing Maximal Matching Algorithm. [Research Report] RR-6111, INRIA. 2007, pp.17. ⟨inria-00127899v2⟩

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