Perfect Matchings in Edge-Transitive Graphs
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Abstract:
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
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Journal title
volume 5 issue Supplement 1
pages 27- 33
publication date 2014-12-01
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