BINDING NUMBER AND TOUGHNESS FOR MATCHING EXTENSION

被引:17
作者
CHEN, CP [1 ]
机构
[1] WAYNE STATE UNIV,DEPT MATH,DETROIT,MI 48202
基金
中国国家自然科学基金;
关键词
D O I
10.1016/0012-365X(94)00175-5
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
A graph G of even order is said to be k-extendable if every matching of size k in G can be extended to a 1-factor of G. Plummer (1988) showed that a graph G is k-extendable if tough (G) > k, and we here prove that G is also k-extendable if bind(G) > max {k, (7k + 13)/12}.
引用
收藏
页码:303 / 306
页数:4
相关论文
共 4 条
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Chvatal V., 1973, Discrete Mathematics, V5, P215, DOI 10.1016/0012-365X(73)90138-6
[2]   TOUGHNESS AND MATCHING EXTENSION IN GRAPHS [J].
PLUMMER, MD .
DISCRETE MATHEMATICS, 1988, 72 (1-3) :311-320
[3]  
Tutte W., 1947, J LOND MATH SOC, V22, P107, DOI DOI 10.1112/JLMS/S1-22.2.107
[4]  
Woodall D. R., 1973, Journal of Combinatorial Theory, Series B, V15, P225, DOI 10.1016/0095-8956(73)90038-5