A Study on Micro Topology Induced by Graphs and Its Applications

Abstract

The purpose of this paper is to introduce a Micro topological space induced by a graph which depends upon a neighbourhood between the vertices based on simple graphs.  Micro-continuity via graph theory also analyzed.  Further, a real life application of graph isomorphism between two directed graphs through the concepts of Micro_G-homeomorphism for the problem concerning about environmental deterioration is investigated.