Computing Minimum Multiway Cuts in Hypergraphs from Hypertree Packings

Computing Minimum Multiway Cuts in Hypergraphs from Hypertree Packings
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DOI:
10.1007/978-3-642-13036-6_2
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发表时间:
2010-06
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通讯作者:
Takuro Fukunaga
Takuro Fukunaga
中科院分区:
其他
文献类型:
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作者:
Takuro Fukunaga

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超图割问题是寻找一个超边的最小容量集的问题,该最小容量集的去除将给定的超图划分为多个连通分支。我们提出了一个算法,该算法运行在强多项式时间,如果bothk和超图的秩是常数。我们的算法扩展了Thorup(2008)的算法,用于从生成树的贪婪填充计算图的最小割。
Hypergraphk-cut problem is a problem of finding a minimum capacity set of hyperedges whose removal divides a given hypergraph intokconnected components. We present an algorithm for this problem which runs in strongly polynomial-time if bothkand the rank of the hypergraph are constants. Our algorithm extends the algorithm due to Thorup (2008) for computing minimumk-cuts of graphs from greedy packings of spanning trees.