2025, Vol. 10, Issue 10, Part A
Analyzing topology induced by graph metrics on the vertex set of some special graphs
Author(s): Rafia Yoosuf and Limiya Aysha Poolakunnan
Abstract: This paper explores the construction of topologies on a graph's vertex set using open balls and eccentric neighbourhoods defined by graph metrics such as geodesic distance, detour distance, circular distance, and circular D-distance. We examine how these metric-induced topologies behave when applied to specific classes of graphs such as Friendship Graph, Bistar Graph, Pan Graph, Complete Bipartite Graph, Barbell Graph and Helm Graph.
Pages: 11-16 | Views: 32 | Downloads: 6Download Full Article: Click Here
How to cite this article:
Rafia Yoosuf, Limiya Aysha Poolakunnan. Analyzing topology induced by graph metrics on the vertex set of some special graphs. Int J Stat Appl Math 2025;10(10):11-16.