Hausdorff Topological of Path in Graph

Abstract

Previous research has dealt with the topic of topological graph in several aspects and has studied the set of vertices or set of edges as a sub basis for topological space. The topic of domination has received the attention of many researchers in the recent period, because has many applications in the field of computers and networks. The main purpose of this paper is join between topological space and minimal dominating sets of a graph G, By using all minimal dominating sets (MDS) as open set of topology on V (G) . this paper discussed T 2 – MDS (hausdorff property) of path Pn with n ≥ 4.