ON A CONJECTURE OF TUZA ABOUT PACKING AND COVERING OF TRIANGLES

被引：56
|
作者：
KRIVELEVICH, M [1 ]
机构：
[1] TECHNION ISRAEL INST TECHNOL,DEPT MATH,IL-32000 HAIFA,ISRAEL
来源：
DISCRETE MATHEMATICS | 1995年 / 142卷 / 1-3期
关键词：
D O I：
10.1016/0012-365X(93)00228-W
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Zs. Tuza conjectured that if a simple graph G does not contain more than k pairwise edge disjoint triangles, then there exists a set of at most 2k edges which meets all triangles in G. We prove this conjecture for K-3,K-3-free graphs (graphs that do not contain a homeomorph of K-3,K-3). Two fractional versions of the conjecture are also proved.
引用
收藏
页码：281 / 286
页数：6
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