About skew partitions in minimal imperfect graphs

被引：18

作者：

Roussel, F ^{[1
]}

Rubio, P ^{[1
]}

机构：

[1] Univ Orleans, LIFO, F-45067 Orleans 2, France

来源：

JOURNAL OF COMBINATORIAL THEORY SERIES B | 2001年 / 83卷 / 02期

关键词：

D O I：

10.1006/jctb.2001.2044

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

V. Chvatal conjectured in 1985 that a minimal imperfect graph G cannot have a skew cutset (i.e., a cutset S decomposable into disjoint sets A and B joined by all possible edges). We prove here the conjecture in the particular case where at least one of A and B is a stable set. (C) 2001 Academic Press.

引用

页码：171 / 190

页数：20

共 12 条

[1]

Berge C., 1961, Wissenchaftliche Zeitschrift, Martin Luther Univ. Halle-Wittenberg, P114

[2] STAR-CUTSETS AND PERFECT GRAPHS [J].