The idea of construct a graph from special topological space is a new approach in graph theory. In this paper, general domination numbers and dominating sets are evaluated for the special topological graph that constructed from the discrete topological space. Also, the dominating set of corona and join operations between two topological graphs are given. The inverse dominating set and inverse domination number are studied for . Then, the inverse dominating set of join and corona operations between two topological graphs are introduced. All results are applied in several topological graphs.
Abdlhusein et al. (Sun,) studied this question.