IVIG-Induced Topology From Tritopological Space On Undirected Graphs

Abstract

The aim of this article is to associate a tritopological space with undirected graph G = (V,E), i.e. three different topologies induced from the same graph or three different graphs. These tritopologies are the unique three proposed to associate topological spaces with graphs, the first which we proposed recently (Independent Topology) in 2020, the second is (Incidence Topology) proposed in 2018 and the third is proposed in 2013 (Graphic Topology). Then some properties of this tritopological space were investigated. Giving a fundamental step toward studying some properties of undirected graphs by their corresponding tritopological spaces is our motivation.