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International Journal of Statistics and Applied Mathematics
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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: 6

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International Journal of Statistics and Applied Mathematics
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.

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International Journal of Statistics and Applied Mathematics