Weighted Matching

  • Korte B
  • Vygen J
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Abstract

Nonbipartite weighted matching appears to be one of the ``hardest'' combinatorial optimization problems that can be solved in polynomial time. We shall extend Edmonds' Cardinality Matching Algorithm to the weighted case and shall again obtain an O(n3)-implementation. This algorithm has many applications, some of which are mentioned in the exercises and in Section 12.2.

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Korte, B., & Vygen, J. (2002). Weighted Matching (pp. 235–260). https://doi.org/10.1007/978-3-662-21711-5_11

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