On the Clique-Transversal Number in（Claw,K4 ）-Free 4-Regular Graphs

被引：0
|
作者：
Ding Guo WANG [1 ,2 ]
Er Fang SHAN [3 ]
Zuo Song LIANG [3 ]
机构：
[1] Department of Mathematics,Shanghai University
[2] College of Mathematics Science,Chongqing Normal University
[3] School of Management,Shanghai University
来源：
ActaMathematicaSinica(EnglishSeries) | 2014年 / 30卷 / 03期
关键词：
Graph; clique-transversal set; clique; 4-regular graph; claw-free graph;
D O I：
暂无
中图分类号：
O157.5 [图论];
学科分类号：
070104 ;
摘要：
A clique-transversal set D of a graph G is a set of vertices of G such that D meets all cliques of G.The clique-transversal number,denoted by τC(G),is the minimum cardinality of a clique-transversal set in G.In this paper,we first present a lower bound on τC(G) and characterize the extremal graphs achieving the lower bound for a connected(claw,K4)-free 4-regular graph G.Furthermore,we show that for any 2-connected(claw,K4)-free 4-regular graph G of order n,its clique-transversal number equals to [n/3].
引用
收藏
页码：505 / 516
页数：12
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