A matching theorem for graphs

D. Kleitman, A. Martin-Löf, B. Rothschild , A. Whinston
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引用次数: 10

Abstract

Let the vertices of an undirected graph be given labels 1, 2, …, n, 1′, 2′, …, n′ such that each vertex has at least n−1 different labels without both i and i′ for any i. Then among all paths between a vertex labeled i and a vertex labeled i′ for any i, the maximum number which are mutually edge disjoint equals the minimum size of an edge cut-set separating all vertices labeled i from all those labeled i′ for any i.

图的一个匹配定理
让一个无向图的顶点被标签1,2,…,n, n 1 ', 2 ',…,“这样每个顶点至少n−1不同标签没有我和我我。然后在一个顶点之间的所有路径标记和一个顶点贴上我的我,互相边不相交的最大数量等于边割集的最小大小分离所有顶点贴上我从所有这些标记的我。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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