PROOF
Print ISSN: 2944-9162, E-ISSN: 2732-9941 An Open Access International Journal of Applied Science and Engineering
Volume 4, 2024
Total Graphic Topology on the Vertex Sets of Directed Graphs
Author:
Abstract: In this work, we introduce a topology $$T_{G}^{tot}$$, called the total graphic topology, for the vertices set of a directed graph G = (V,E). We prove many properties of this topology and we give some open sets and some closed ones. We prove that $$T_{G}^{tot}$$ is an Alexandroff topology. In addition, we investigate functions between directed graphs, the connectedness of this topology for some strongly connected graphs and we give an example for each case.