Distributed algorithm for approximating the maximum matching (Q1887042)

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scientific article; zbMATH DE number 2118326
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Distributed algorithm for approximating the maximum matching
scientific article; zbMATH DE number 2118326

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    Distributed algorithm for approximating the maximum matching (English)
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    23 November 2004
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    The authors present an \(O(\log^6 n)\)-time distributed algorithm computing a matching of size at least \(\frac{2}{3}| M^*| \) where \(M^*\) is a maximum matching and \(n\) is the number of vertices of the input graph. The approximation factor \(2/3\) relies on a theorem due to \textit{T. Fischer, A. V. Goldberg, D. J. Haglin} and \textit{S. Plotkin} [``Approximating matchings in parallel'', Inf. Process. Lett. 46, 115--118 (1993; Zbl 0784.68065)].
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    distributed algorithm
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    maximum matching
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