Packing and covering triangles in graphs

被引：35
|
作者：
Haxell, PE [1 ]
机构：
[1] Univ Waterloo, Dept Combinator & Optimizat, Waterloo, ON N2L 3G1, Canada
来源：
DISCRETE MATHEMATICS | 1999年 / 195卷 / 1-3期
关键词：
D O I：
10.1016/S0012-365X(98)00183-6
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
It is shown that if G is a graph such that the maximum size of a set of pairwise edge-disjoint triangles is v(G), then there is a set C of edges of G of size at most (3 - epsilon)v(G) such that E(T) boolean AND C not equal empty set for every triangle T of G, where epsilon > 3/23. This is the first nontrivial bound known for a long-standing conjecture of Tuza. (C) 1999 Elsevier Science B.V. All rights reserved.
引用
收藏
页码：251 / 254
页数：4
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