Pure Mathematics for Theoretical Computer Science PMTCS 2995-3162 10.54216/PMTCS https://www.americaspg.com/journals/show/2878 2023 2023 Department of Physics, College of Science, Wasit University, Wasit, Iraq Noor Noor Department of Mathematics, College of Education for Pure Science, Wasit University, Wasit, Iraq Faik J. Mayah In this paper, we investigate topologies produced by simple connected graphs. In particular, we associate a topology with G, called the incidence topology of G. A sub-base family to generate a incidence topology is implemented on the Vertices V set. Then we analyze some of the properties and discuss the impact topology of a few essential types of graphs. Our motivation in this section is to take a fundamental step towards the investigation of some of the characteristics of simple graphs by their corresponding incidence topology. 2024 2024 08 15 10.54216/PMTCS.040101 https://www.americaspg.com/articleinfo/40/show/2878