Tree- and forest-perfect graphs

被引:5
作者
Brandstädt, A [1 ]
Le, VB [1 ]
机构
[1] Univ Rostock, Fachbereich Informat, D-18051 Rostock, Germany
关键词
perfect graphs; P-4-structure of perfect graphs; graphs with P-4-structure of trees; characterization; linear time recognition;
D O I
10.1016/S0166-218X(99)00071-2
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Two graphs G and H with the same vertex set V are P-4-isomorphic if there exists a permutation pi on V such that, for all subsets S subset of or equal to V, S induces a chordless path on four vertices (denoted by P-4) in G if and only if pi(S) induces a P-4 in H. This paper gives a classification of all graphs P-4-isomorphic to a tree, respectively, a forest. (C) 1999 Elsevier Science B.V. All rights reserved.
引用
收藏
页码:141 / 162
页数:22
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