Incidence Topological Spaces Generated from The Simple Undirected Graphs
Noor Nouman*1, Faik J. Mayah 2
1 Department of Physics, College of Science, Wasit University, Wasit, Iraq.
2 Department of Mathematics, College of Education for Pure Science, Wasit University, Wasit, Iraq.
Emails: namannoor921@gmail.com; faik@uowasit.edu.iq
Abstract
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.
Keywords: Finite Topological Spaces; Connected Simple Graphs; Topologies; undirected graphs.