Zainab Jwair - Department of Mathematics, College of Education for Pure Sciences, University of Thi-Qar, Thi-Qar, Iraq
Mohammed Abdlhusein - 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.

Topological graph, dominating set, domination number, inverse domination, connected graph