Packing and covering triangles in tripartite graphs

被引：17
|
作者：
Haxell, PE
Kohayakawa, Y
机构：
[1] Univ Waterloo, Dept Combinator & Optimizat, Waterloo, ON N2L 3G1, Canada
[2] Univ Sao Paulo, Inst Matemat & Estatist, BR-05508900 Sao Paulo, Brazil
来源：
GRAPHS AND COMBINATORICS | 1998年 / 14卷 / 01期
关键词：
packing; covering; triangles; tripartite graphs; Tuza's conjecture;
D O I：
10.1007/s003730050010
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 tripartite 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 (2 - epsilon)v(G), such that E(T) boolean AND C not equal (empty set) for every triangle T of G, where epsilon > 0.044. This improves the previous bound of (7/3)v(G) due to Tuza [6].
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页码：1 / 10
页数：10
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