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全局最小割:Karger’s Min Cut Algorithm

 3 years ago
source link: http://blog.kongfy.com/2015/02/
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二月 2015

二月 2015 发表了 1 篇文章

全局最小割:Karger’s Min Cut Algorithm

Cut in an undirected graph

Cut in an undirected graph

提到无向图的最小割问题,首先想到的就是Ford-Fulkerson算法解s-t最小割,通过Edmonds–Karp实现可以在O(nm2)时间内解决这个问题(n为图中的顶点数,m为图中的边数)。

但是全局最小割和s-t最小割不同,并没有给定的指定的源点s和汇点t,如果通过Ford-Fulkerson算法来解这一问题,则需要枚举汇点t(共n−1),时间复杂度为O(n2m2)。

Can we do better?

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分类: 算法 | 2015-02-07 | 261 个字 | 2 Comments


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