Some dominating results of the topological graph

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.

Keywords:

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