Coloring perfect graphs with no balanced skew-partitions

被引：7
|
作者：
Chudnovsky, Maria [1 ]
Trotignon, Nicolas [2 ]
Trunck, Theophile [3 ]
Vuskovic, Kristina [4 ,5 ]
机构：
[1] Princeton Univ, Princeton, NJ 08544 USA
[2] Univ Lyon, INRIA, ENS Lyon, CNRS,LIP, Lyon, France
[3] Univ Lyon, INRIA, ENS Lyon, LIP, Lyon, France
[4] Univ Leeds, Sch Comp, Leeds, W Yorkshire, England
[5] Union Univ, Fac Comp Sci RAF, Belgrade, Serbia
来源：
JOURNAL OF COMBINATORIAL THEORY SERIES B | 2015年 / 115卷
基金：
英国工程与自然科学研究理事会;
关键词：
Perfect graphs; Berge graphs; Coloring; Maximum stable set; 2-join; Skew partition; Homogeneous pair; ALGORITHM;
D O I：
10.1016/j.jctb.2015.04.007
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We present an O(n(5)) algorithm that computes a maximum stable set of any perfect graph with no balanced skew-partition. We present O(n(7)) time algorithm that colors them. (C) 2015 Elsevier Inc. All rights reserved.
引用
收藏
页码：26 / 65
页数：40
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