On Topologies on Simple Graphs. Applications in Radar Chart Methods

Utilizing the concept of rough upper approximation neighborhood systems in simple graphs, this paper introduces a novel class of topologies on vertex sets. We delve into identifying the specific graphs that induce either the indiscrete or discrete topology, unraveling essential topological properties within this classification. Exploring further, we delve into the continuity and isomorphism of graph mappings. Subsequently, we apply these findings to enhance radar chart graphical methods through the analysis of corresponding graph structures.