Large induced forests in planar graphs with girth 4

被引：4
|
作者：
Dross, Francois [1 ]
Montassier, Mickael [1 ]
Pinlou, Alexandre [1 ]
机构：
[1] Univ Montpellier, LIRMM, 161 Rue Ada, F-34095 Montpellier 5, France
来源：
DISCRETE APPLIED MATHEMATICS | 2019年 / 254卷
关键词：
Planar graphs; Triangle-free planar graphs; Induced forests; Feedback vertex sets; Albertson-Berman conjecture;
D O I：
10.1016/j.dam.2018.06.029
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We give a new lower bound on the order of a largest induced forest in planar graphs with girth 4. We prove that a triangle-free planar graph of order n admits an induced forest of order at least 6n+7/11 , improving the lower bound of Salavatipour (2006). (C) 2018 Elsevier B.V. All rights reserved.
引用
收藏
页码：96 / 106
页数：11
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