Recognizing Berge graphs

Recognizing Berge graphs
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DOI:
10.1007/s00493-005-0012-8
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发表时间:
2005-01-01
期刊:
影响因子:
1.1
通讯作者:
Vuskovic, K
Vuskovic, K
中科院分区:
数学2区
文献类型:
--
作者:
Chudnovsky, M;Cornuéjols, G;Vuskovic, K

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一个图是Berge图,如果G的导出子图都不是长度至少为5或1的补数的奇圈。本文给出了一个判定图G是否Berge的算法,其运行时间为O(竖线V(G)竖线(9))。这是独立的最近证明的强完美图猜想。
A graph is Berge if no induced subgraph of G is an odd cycle of length at least five or the complement of one. In this paper we give an algorithm to test if a graph G is Berge, with running time O(vertical bar V(G)vertical bar(9)). This is independent of the recent proof of the strong perfect graph conjecture.