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The Cardinality Matching Problem

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Part of the book series: Lecture Notes in Economics and Mathematical Systems ((LNE,volume 184))

Abstract

Let G = (V,E) be a graph with vertex set V and edge set E. A matching in G is a set of edges no two of them coincide with the same vertex. For a matching M we denote by |M| the number of edges in M, i.e. the cardinality of M. The set of all matchings is denoted by μ. Since by definition the empty set is a matching, μ ≠ ∅ holds.

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© 1980 Springer-Verlag Berlin Heidelberg

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Burkard, R.E., Derigs, U. (1980). The Cardinality Matching Problem. In: Assignment and Matching Problems: Solution Methods with FORTRAN-Programs. Lecture Notes in Economics and Mathematical Systems, vol 184. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-51576-7_3

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  • DOI: https://doi.org/10.1007/978-3-642-51576-7_3

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-10267-0

  • Online ISBN: 978-3-642-51576-7

  • eBook Packages: Springer Book Archive

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