Some dominating results of the topological graph

Document Type : Research Paper


Department of Mathematics, College of Education for Pure Sciences, University of Thi-Qar, Thi-Qar, Iraq


Let $G_{\tau}=(V, E)$ be a topological graph constructed from the topological space $(X, \tau)$. In this paper, several types of dominating parameters are applied on the topological graph $G_{\tau}$. Such as independent domination, total domination, connected domination, doubly connected domination, restrained domination, strong domination and weak domination. Also, the inverse domination of all these parameters was proved.