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A perfect matching is a matching of all the vertices of a graph. In other words, a perfect matching is a set of edges such that each vertex of the graph is incident to exactly one edge in the set.

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Algorithms to count perfect matchings in near planar graphs

Graphs of bounded genus (both orientable or non-orientable): G. Tesler, Matchings in Graphs on Non-orientable Surfaces, Journal of Combinatorial Theory, Series B, Volume 78, Issue 2 (2000), 198-231. h …
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