Packing and Covering Triangles in Planar Graphs

被引：9
|
作者：
Cui, Qing [1 ]
Haxell, Penny [2 ]
Ma, Will [2 ]
机构：
[1] Nanjing Univ Aeronaut & Astronaut, Dept Math, Nanjing 210016, Peoples R China
[2] Univ Waterloo, Dept Combinator & Optimizat, Waterloo, ON N2L 3G1, Canada
来源：
GRAPHS AND COMBINATORICS | 2009年 / 25卷 / 06期
基金：
加拿大自然科学与工程研究理事会;
关键词：
Packing and covering; Triangle; Planar graph; CONJECTURE;
D O I：
10.1007/s00373-010-0881-5
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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 that meets all triangles in G. It has been shown that this conjecture is true for planar graphs and the bound is sharp. In this paper, we characterize the set of extremal planar graphs.
引用
收藏
页码：817 / 824
页数：8
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