2-COLORINGS THAT DECOMPOSE PERFECT GRAPHS

被引：9
|
作者：
CHVATAL, V
LENHART, WJ
SBIHI, N
机构：
[1] WILLIAMS COLL,DEPT MATH SCI,WILLIAMSTOWN,MA 01267
[2] CTR NATL COORDINAT & PLANIFICAT RECH SCI & TECH,RABAT,MOROCCO
来源：
JOURNAL OF COMBINATORIAL THEORY SERIES B | 1990年 / 49卷 / 01期
基金：
加拿大自然科学与工程研究理事会;
关键词：
D O I：
10.1016/0095-8956(90)90061-4
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We show that there are, up to a trivial equivalence, precisely six theorems of the following form: If the vertices of a graph G are coloured red and white in such a way that no chordless path with four vertices is coloured in certain ways (specified by the particular theorem), then G is perfect if and only if each of the two subgraphs of G induced by all the vertices of the same colour is perfect. One of these theorems was proved earlier by Chvátal and Hoàng; the remaining five are new. © 1990.
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页码：1 / 9
页数：9
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