Perfect Matchings in Edge-Transitive Graphs

نویسندگان

  • A. Marandi University of Tehran
  • A. Nejah University of Tehran
چکیده مقاله:

We find recursive formulae for the number of perfect matchings in a graph G by splitting G into subgraphs H and Q. We use these formulas to count perfect matching of P hypercube Qn. We also apply our formulas to prove that the number of perfect matching in an edge-transitive graph is , where denotes the number of perfect matchings in G, is the graph constructed from by deleting edges with an end vertex in {u,v}.

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perfect matchings in edge-transitive graph

we find recursive formulae for the number of perfect matchings in a graph g by splitting g into subgraphs h and q. we use these formulas to count perfect matching of p hypercube qn. we also apply our formulas to prove that the number of perfect matching in an edge-transitive graph is , where denotes the number of perfect matchings in g, is the graph constructed from by deleting edges with an en...

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عنوان ژورنال

دوره 5  شماره Supplement 1

صفحات  27- 33

تاریخ انتشار 2014-12-01

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