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arXiv math/0607088math.OCcs.DM
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奇最小割集与b-匹配

Odd minimum cut sets and b-matchings revisited

Adam N. Letchford, Dirk Oliver Theis

摘要:

著名的Padberg-Rao分离算法在无容量限制的情况下可以在O(n^2m log(n^2/m))时间内实现,而在有容量限制的情况下可以在O(nm^2 log(n^2/m))时间内实现(其中n是底层图的顶点数,m是底层图的边数)。我们给出了一个新的和简单的算法,可以实现运行在O(n^2mlog(n^2/m))的时间。

英文摘要:

The famous Padberg-Rao separation algorithm for b-matching polyhedra can be implemented to run in O(n^2m log(n^2/m)) time in the uncapacitated case, and in O(nm^2 log(n^2/m)) time in the capacitated case (where n is the number of vertices and m is the number of edges of the underlying graph). We give a new and simple algorithm for the capacitated case which can be implemented to run in O(n^2m log(n^2/m)) time.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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