“…Today, graph theory becomes a fundamental mathematical tool for many domains as chemistry, marketing and computers network. If we add topology to the graph, we can use them to solve economic and the traffick flow problems, [2], [3], [4], as in medical application and blood circulation, [5], [6], [7], [8]. A topology is called an Alexandroff topology if any intersection of open sets is also an open set, [9], [10].…”