Affiliations: [a] Department of Mathematics, Faculty of Science, Tanta University, Tanta, Egypt
| [b] Department of Mathematics and Computer Science, Faculty of Science, Menoufia University, Menoufia, Egypt
Correspondence:
[*]
Corresponding author. M. Atef, Department of Mathematics and Computer Science, Faculty of Science, Menoufia University, Menoufia, Egypt. Tel: +201061951564; E-mail: [email protected].
Abstract: In this article, a technique to construct a new type of topological structures by graphs called topological graphs is introduced. We use the concept of a homeomorphism between topological graphs as a topological property to prove the isomorphic between graphs. We construct a computer program that builds graphs and its topological graphs. This model helps in studying many topological properties such as continuity, connectedness, compactness and separation axioms on graphs. Finally, we present some examples of different types of graphs and their topological graphs and study some of their topological and algebraic properties.
Keywords: Graphs, a topological graph, a topological
structure, homeomorphic, isomorphic
