Total k-domination in strong product graphs

被引：7
|
作者：
Bermudo, S. [1 ]
Hernandez-Gomez, J. C. [2 ]
Sigarreta, J. M. [2 ]
机构：
[1] Univ Pablo Olavide, Dept Econ Quantitat Methods & Econ Hist, ES-41013 Seville, Spain
[2] Autonomous Univ Guerrero, Fac Math, Carlos E Adame 5, Acapulco, Guerrero, Mexico
来源：
DISCRETE APPLIED MATHEMATICS | 2019年 / 263卷
关键词：
k-domination; Domination; Total domination; k-tuple domination; NUMBER;
D O I：
10.1016/j.dam.2018.03.043
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let G = (V, E) be a graph, a set S subset of V is a total k-dominating set if every vertex upsilon is an element of E V has at least k neighbors in S. The total k-domination number y(kt)(G) is the minimum cardinality among all total k-dominating sets. In this paper, we obtain several tight bounds for the total k-domination number of the strong product of two graphs. In particular, we investigate the relationship between the total k-domination number of the strong product of two graphs with the domination, k-domination and total k-domination numbers of the factors in the product. (C) 2018 Elsevier B.V. All rights reserved.
引用
收藏
页码：51 / 58
页数：8
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