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

页数：9

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