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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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Applications of Perfect Matching

You may want to check a paper about matching at arXiv:1805.00214. Even though the general problems are NP-complete or intractable in layman's terms, one may want to find triples or quadruples in some …
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Applications of Perfect Matching

Designs of experiments may use matching. Imagine we have 100 female patients and 100 male patients. We want to apply some treatment to both groups to see if there is any difference between the respons …
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