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Questions on problems whose solution space are one-to-one mappings between two sets.

8 votes

Counting the number of matchings in a complete bipartite graph

A matching of size $m$ in $\mathrm{K}_{n,n}$ is uniquely identified by (i) the set of covered vertices in the left partition, for which there are $\binom{n}{m}$ choices, (ii) the set of covered vertic …
Lars H's user avatar
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