Optimal branch-decomposition of planar graphs in O(n3) Time

Optimal branch-decomposition of planar graphs in O(n3) Time
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DOI:
10.1145/1367064.1367070
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发表时间:
2005-07
期刊:
ACM Trans. Algorithms
影响因子:
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通讯作者:
Q. Gu;H. Tamaki
Q. Gu;H. Tamaki
中科院分区:
其他
文献类型:
--
作者:
Q. Gu;H. Tamaki

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我们给出了一个O(n3)时间算法来构造给定的n个顶点的平面图的最小宽度分支分解。这是通过对以前最著名的Seymour和Thomas算法的改进来实现的,该算法运行时间为O(n4)。
We give an O(n3) time algorithm for constructing a minimum-width branch-decomposition of a given planar graph with n vertices. This is achieved through a refinement to the previously best known algorithm of Seymour and Thomas, which runs in O(n4) time.