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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.

7 votes
2 answers
567 views

Perfect matchings in certain classes of hypergraphs

While doing research I came unto the following problem: Given a hypergraph $H$ which is $r$-partite, $r$-uniform (each edge contains exactly $r$ vertices), $k$-regular (each vertex is contained in ex …
Pedro T. Lima's user avatar