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Induced matchings - MaRDI portal

Induced matchings (Q1262877)

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scientific article; zbMATH DE number 4125436
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Induced matchings
scientific article; zbMATH DE number 4125436

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    Induced matchings (English)
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    1989
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    An induced matching of a graph G is a vertex induced subgraph of G that is a matching. The author shows that the following decision problem is NP-complete: For a given bipartite graph G and positive integer k, is there an induced matching of size at least k? So the problem of finding a largest induced matching for bipartite graphs is Np-hard. It is, however, shown that there is an efficient parallel algorithm for finding largest induced matchings in chordal graphs.
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    chordal graphs
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    induced matching
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    NP-complete
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    bipartite graph
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    parallel algorithm
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