On topological spaces generated by graphs and vice versa.

The relationship between Graph Theory and Topological Space has recently developed greatly, as researchers have been able to find solutions to some problems in daily life by transforming the problem into a graph and then generating a topological space and thus facilitating reading the problem and solving it. The researchers also studied the generation of graph from topological spaces.In this article we will present two types of relations on the edges set that generate topological spaces, and we will discuss some properties of this topology, and we will study discuss the method of returning from the topological space to the graphs through using previous relationships. [ABSTRACT FROM AUTHOR]