aspg-40-2878-1792533446 20261020215726 American Scientific Publishing Group admin@americaspg.com American Scientific Publishing Group Pure Mathematics for Theoretical Computer Science PMTCS 2995-3162 2024 4 1 Noor Nouman Department of Physics, College of Science, Wasit University, Wasit, Iraq Faik J. Mayah Department of Mathematics, College of Education for Pure Science, Wasit University, Wasit, Iraq 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 01 06 2878 https://creativecommons.org/licenses/by/4.0/ 10.54216/PMTCS.040101 https://americaspg.com/journal/40/article/2878 https://americaspg.com/storage/articles/manuscripts/01M13018GZJXJKVR4PJDJ1HGJ9.pdf