Complexity of a Disjoint Matching Problem on Bipartite Graphs

نویسنده

  • Gregory J. Puleo
چکیده

We consider the following question: given an (X, Y )-bigraph G and a set S ⊆ X, does G contain two disjoint matchings M1 and M2 such that M1 saturates X and M2 saturates S? When |S| ≥ |X| − 1, this question is solvable by finding an appropriate factor of the graph. In contrast, we show that when S is allowed to be an arbitrary subset of X, the problem is NP-hard.

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عنوان ژورنال:
  • Inf. Process. Lett.

دوره 116  شماره 

صفحات  -

تاریخ انتشار 2016