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
下载
收藏
页码：96 / 106
页数：11
相关论文
共 50 条
  • [1] Induced forests in regular graphs with large girth
    Hoppen, Carlos
    Wormald, Nicholas
    COMBINATORICS PROBABILITY & COMPUTING, 2008, 17 (03): : 389 - 410
  • [2] Odd Induced Subgraphs in Planar Graphs with Large Girth
    Rao, Mengjiao
    Hou, Jianfeng
    Zeng, Qinghou
    GRAPHS AND COMBINATORICS, 2022, 38 (04)
  • [3] Odd Induced Subgraphs in Planar Graphs with Large Girth
    Mengjiao Rao
    Jianfeng Hou
    Qinghou Zeng
    Graphs and Combinatorics, 2022, 38
  • [4] LIGHT GRAPHS IN PLANAR GRAPHS OF LARGE GIRTH
    Hudak, Peter
    Macekova, Maria
    Madaras, Tomas
    Siroczki, Pavol
    DISCUSSIONES MATHEMATICAE GRAPH THEORY, 2016, 36 (01) : 227 - 238
  • [5] Circular choosability of planar graphs with large girth
    Wang, Guanghui
    Liu, Guizhen
    ARS COMBINATORIA, 2011, 99 : 65 - 73
  • [6] Linear coloring of planar graphs with large girth
    Raspaud, Andre
    Wang, Weifan
    DISCRETE MATHEMATICS, 2009, 309 (18) : 5678 - 5686
  • [7] Equitable coloring planar graphs with large girth
    Wu, Jianliang
    Wang, Ping
    DISCRETE MATHEMATICS, 2008, 308 (5-6) : 985 - 990
  • [8] Acyclic colourings of planar graphs with large girth
    Borodin, OV
    Kostochka, AV
    Woodall, DR
    JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 1999, 60 : 344 - 352
  • [9] Total colourings of planar graphs with large girth
    Borodin, OV
    Kostochka, AV
    Woodall, DR
    EUROPEAN JOURNAL OF COMBINATORICS, 1998, 19 (01) : 19 - 24
  • [10] Large induced forests in triangle-free planar graphs
    Salavatipour, MR
    GRAPHS AND COMBINATORICS, 2006, 22 (01) : 113 - 126
12345