Graph associative on disjoint open subsets of topological space

Abstract

In this study, a new idea of forming a statement from a discrete topological space is presented. Several properties and limitations of this topological statement are presented. This graph has no isolated vertices. We define the graph of some topological space also collection degree of every vertex and some normal numbers like an independent number, covering number, and chromatic number finally we discussed where this graph is planar and nonplanar graph.