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Tutte theorem

In the mathematical discipline of graph theory the Tutte theorem, named after William Thomas Tutte, is a characterization of graphs with perfect matchings. It is a generalization of the marriage theorem.

Tutte theorem

A given graph G: = (V,E) has a perfect matching if and only if for every subset U of V the number of connected components with odd number of vertices in the subgraph induced by V \setminus U is less or equal \|U\|.

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Science Fair Project Encyclopedia Contents Page
12-03-2008 10:22:39
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