A Fast Distributed Algorithm for Approximating the Maximum Matching

نویسندگان

  • Andrzej Czygrinow
  • Michal Hanckowiak
  • Edyta Szymanska
چکیده

We present a distributed approximation algorithm that computes in every graph G a matching M of size at least 2 3 β(G), where β(G) is the size of a maximum matching in G. The algorithm runs in O(log |V (G)|) rounds in the synchronous, message passing model of computation and matches the best known asymptotic complexity for computing a maximal matching in the same protocol. This improves the running time of an algorithm proposed recently by the authors in [2].

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تاریخ انتشار 2004