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Tutte–Berge formula : ウィキペディア英語版
Tutte–Berge formula
In the mathematical discipline of graph theory the Tutte–Berge formula, named after William Thomas Tutte and Claude Berge, is a characterization of the size of a maximum matching in a graph. It is a generalization of Tutte's theorem.
The theorem states that the size of a maximum matching of a graph ''G'' = (''V'', ''E'') equals
:\frac \min_ \left(|U|-\text(G-U)+|V|\right),
where odd(''H'') is the number of components in the graph ''H'' with an odd number of vertices.
== See also ==

* Hall's marriage theorem
* Tutte's theorem

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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