TOUGHNESS OF GRAPHS AND THE EXISTENCE OF FACTORS

被引：42
|
作者：
KATERINIS, P [1 ]
机构：
[1] UNIV LONDON GOLDSMITHS COLL,DEPT MATH,LONDON SE14 6NW,ENGLAND
来源：
DISCRETE MATHEMATICS | 1990年 / 80卷 / 01期
关键词：
D O I：
10.1016/0012-365X(90)90297-U
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The toughness of a graph G, denoted by t(G), is defined as the largest real number t such that the deletion of any s vertices from G results in a graph which is either connected or else has at most s/t components. Chvátal who introduced the concept of toughness in [2] conjectured that if G is a graph and k a positive integer such that k |V(G)| is even and t(G)≥k then G has a k-factor. In [3] it was proved that Chvátal's conjecture is true. The main purpose of this paper is to present two theorems which imply the truth of Chvátal's conjecture as a special case. © 1990.
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收藏
页码：81 / 92
页数：12
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