Domination versus edge domination on claw-free graphs

被引:2
作者
Civan, Yusuf [1 ]
Deniz, Zakir [2 ]
Yetim, Mehmet Akif [1 ]
机构
[1] Suleyman Demirel Univ, Dept Math, TR-32260 Isparta, Turkiye
[2] Duzce Univ, Dept Math, TR-81620 Duzce, Turkiye
关键词
Domination; Edge domination; Minimum maximal matching; Claw-free;
D O I
10.1016/j.dam.2023.05.002
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
When G is a (finite and simple) graph, we prove that its domination number is at most its edge-domination number if G is a claw-free graph with minimum degree at least two. That generalizes an earlier result of Baste et al. (2020) on cubic claw-free graphs.(c) 2023 Elsevier B.V. All rights reserved.
引用
收藏
页码:171 / 172
页数:2
相关论文
共 1 条
[1]   Domination versus edge domination [J].
Baste, Julien ;
Fuerst, Maximilian ;
Henning, Michael A. ;
Mohr, Elena ;
Rautenbach, Dieter .
DISCRETE APPLIED MATHEMATICS, 2020, 285 :343-349