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Yayın Topological domination in graph theory(Maltepe Üniversitesi, 2021) Jabor, Ali Ameer; Omran, Ahmed Abd-AliDominating sets play an important role in applications of graph theory. Recent studies in this field studied properties of minimum dominating sets (?-set). The other type of studies produces a topology space from the set of vertices or the set of edges of a graph G. In this paper, the domination topology (?d) has been created form the set of minimal dominating sets of a graph G. The family of all minimal dominating sets (MDS) represents open sets in ?d. The (?d) d-intersection and (?d) d-union have been defined.