The Planar Separator Theorem

The Planar Separator Theorem
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平面分隔定理

DOI:
10.1007/978-1-4612-4400-4_15
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发表时间:
1992
期刊:
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影响因子:
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通讯作者:
D. Kozen
D. Kozen
中科院分区:
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文献类型:
--
作者:
D. Kozen

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Lipton和Tarjan [73]的平面分离子定理指出,在任意无向平面图G中,存在一个小的分离子S; V,去掉它,只剩下两个不相交的顶点集A,B S; V,它们之间没有边;而且,A和B中的每一个至多是S; V的大小的一个常数分数。
The Planar Separator Theorem of Lipton and Tarjan [73J says that in any undirected planar graph G there exists a small sepamtor 8 S; V whose removal leaves two disjoint sets of vertices A, B S; V with no edge between them; moreover, each of A and B is at most a constant fraction of the size of