Cops and robbers on 2K2-free graphs

被引：3
|
作者：
Turcotte, Jeremie [1 ]
机构：
[1] Univ Montreal, Dept Math & Stat, Montreal, PQ, Canada
来源：
DISCRETE MATHEMATICS | 2022年 / 345卷 / 01期
基金：
加拿大自然科学与工程研究理事会;
关键词：
Cops and robbers; Cop number; Forbidden induced subgraphs; Co-diamond-free graphs; 2K(2)-free graphs; GAME; PURSUIT; NUMBER;
D O I：
10.1016/j.disc.2021.112660
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove that the cop number of any 2K(2)-free graph is at most 2, proving a conjecture of Sivaraman and Testa. We also show that the upper bound of 3 on the cop number of 2K(1) + K-2-free (co-diamond-free) graphs is best possible. (c) 2021 Elsevier B.V. All rights reserved.
引用
收藏
页数：9
相关论文
共 50 条
  • [1] Mixing colourings in 2K2-free graphs
    Feghali, Carl
    Merkel, Owen
    [J]. DISCRETE MATHEMATICS, 2022, 345 (11)
  • [2] On the chromatic number of 2K2-free graphs
    Brause, Christoph
    Randerath, Bert
    Schiermeyer, Ingo
    Vumar, Elkin
    [J]. DISCRETE APPLIED MATHEMATICS, 2019, 253 : 14 - 24
  • [3] Coloring of a Superclass of 2K2-free graphs
    Prashant, Athmakoori
    Raj, S. Francis
    [J]. ALGORITHMS AND DISCRETE APPLIED MATHEMATICS, CALDAM 2023, 2023, 13947 : 192 - 203
  • [4] On Toughness and Hamiltonicity of 2K2-Free Graphs
    Broersma, Hajo
    Patel, Viresh
    Pyatkin, Artem
    [J]. JOURNAL OF GRAPH THEORY, 2014, 75 (03) : 244 - 255
  • [5] Independent sets in extensions of 2K2-free graphs
    Lozin, VV
    Mosca, R
    [J]. DISCRETE APPLIED MATHEMATICS, 2005, 146 (01) : 74 - 80
  • [6] Cops, robbers and graphs
    Hahn, Gena
    [J]. GRAPHS '04, 2007, 36 : 163 - 176
  • [7] Nonempty intersection of longest paths in 2K2-free graphs
    Golan, Gili
    Shan, Songling
    [J]. ELECTRONIC JOURNAL OF COMBINATORICS, 2018, 25 (02):
  • [8] Two characterisations of minimal triangulations of 2K2-free graphs
    Meister, Daniel
    [J]. DISCRETE MATHEMATICS, 2006, 306 (24) : 3327 - 3333
  • [9] Chromatic bounds for some classes of 2K2-free graphs
    Karthick, T.
    Mishra, Suchismita
    [J]. DISCRETE MATHEMATICS, 2018, 341 (11) : 3079 - 3088
  • [10] COPS AND ROBBERS ON P5-FREE GRAPHS
    Chudnovsky, Maria
    Norin, Sergey
    Seymour, Paul d.
    Turcotte, Jeremie
    [J]. SIAM JOURNAL ON DISCRETE MATHEMATICS, 2024, 38 (01) : 845 - 856
12345