[6] Let G be a spanning subgraph of Kn,n. Prove that the number of perfect matchings in the bipartite complement G of G is equal to Sop(G,x)e- dx. 8

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[5] Find a simple integral expression for the total number of matchings in
the complement of a graph G.
[6] Let G be a spanning subgraph of Kn,n. Prove that the number of
perfect matchings in the bipartite complement G of G is equal to
Sop(G,x)e-x dx.
of the complete bipartite graph
Transcribed Image Text:[5] Find a simple integral expression for the total number of matchings in the complement of a graph G. [6] Let G be a spanning subgraph of Kn,n. Prove that the number of perfect matchings in the bipartite complement G of G is equal to Sop(G,x)e-x dx. of the complete bipartite graph
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