Work

On Topologies on Simple Graphs and Their Applications in Radar Chart Methods

Year: 2025

Type: article

Abstract: This paper introduces a novel topology (upper approximated G-topology) on vertex sets of graphs using rough upper approximation neighborhoods, extending prior work on graph-induced topologies. Key results include characterizing discrete/indiscrete topologies for complete graphs, cycle graphs, and bipartite graphs (Theorems 1–3). The discrete topology for cycle graphs Cn, n>5, is particularly insightful. 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. These applications demonstrate practical relevance, linking graph structures to data visualization.

Source: Axioms

DOI: 10.3390/axioms14030178

Authors: Husniyah Alzubaidi, Ljubisa D. R. Kocinac, Hakem A. Othman

Institutions: Umm al-Qura University, University of Nis, Albaydha University

Language: English

Topic: Rough Sets and Fuzzy Logic

Subfield: Computational Theory and Mathematics

Field: Computer Science

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,896

Funder: Umm Al-Qura University