Domination in Lexicographic Product Digraphs

Juan Liu1,2, Xindong Zhang1, Jixiang Meng2
1College of Maths-physics and Information Sciences, Xinjiang Normal University Urumqi, Xinjiang, 830054, P.R.China
2College of Mathematics and System Sciences, Xinjiang University Urumai, Xinjiang, 830046, P.R.China

Abstract

In this paper, we consider the domination number, the total domination number, the restrained domination number, the total restrained domination number and the strongly connected domination number of lexicographic product digraphs.