On the Connectedness of Graphic Topology

Authors

  • Amna A. Eldelensi Department of Mathematics, Faculty of Sciences, University of Misurata, Misurata, Libya
  • Hawa A.Alrawayati Department of Mathematics, Faculty of Sciences, University of Misurata, Misurata, Libya
  • Aisha S. Safar Department of Mathematics, Faculty of Sciences, University of Misurata, Misurata, Libya

Keywords:

graph theory, graphic topology, connectedness, irreducible set

Abstract

In this study, we delve into the intricate aspects of graphic topology. We establish the special cases in which topological spaces have a graphic topology, and relation between the graphic topology and certain graphs, we present connected graphic topology, moreover, show that the graphic topological space is irreducible if and only if the graph is empty. Finally, we offer the of connectivity of graph through special conditions on adjacency sets.                                                                                                                 

Dimensions

Published

2025-04-26

How to Cite

Amna A. Eldelensi, Hawa A.Alrawayati, & Aisha S. Safar. (2025). On the Connectedness of Graphic Topology. African Journal of Advanced Pure and Applied Sciences (AJAPAS), 4(2), 199–204. Retrieved from https://aaasjournals.com/index.php/ajapas/article/view/1269