STRESS-SUM INDEX OF GRAPHS WITH DIAMETER TWO

The process of ranking molecular chemical compounds or large networks is a challenging task as they are degenerate in nature.A novel idea is to apply graph theory-based concepts like centrality measures and topological indices based on them to predict the rank of each molecular chemical graph.The stress of a vertex in a graph is a measure of vertex centrality and is defined as the number of shortest paths that pass through it.Recently, some topological indices based on the stress of vertices in a graph have been defined.In this article, we obtain the stress-sum index of some standard class of graphs with diameter two.

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Publication Details

Journal
International Journal of Apllied Mathematics
Published
2025-05-10
DOI
https://doi.org/10.12732/ijam.v38i2.8
Citations
1
Primary Topic
Graph theory and applications
Type
article
Field-Weighted Citation Impact
4.09
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article

STRESS-SUM INDEX OF GRAPHS WITH DIAMETER TWO

Krishnamurthy Bhat, N. Niveditha, Shahistha Hanif
1 citations
International Journal of Apllied Mathematics
Graph theory and applications
4.09
article

STRESS-SUM INDEX OF GRAPHS WITH DIAMETER TWO

Krishnamurthy Bhat, N. Niveditha, Shahistha Hanif
article en
1 citations

Abstract

The process of ranking molecular chemical compounds or large networks is a challenging task as they are degenerate in nature.A novel idea is to apply graph theory-based concepts like centrality measures and topological indices based on them to predict the rank of each molecular chemical graph.The stress of a vertex in a graph is a measure of vertex centrality and is defined as the number of shortest paths that pass through it.Recently, some topological indices based on the stress of vertices in a graph have been defined.In this article, we obtain the stress-sum index of some standard class of graphs with diameter two.

International Journal of Apllied MathematicsVol. 38(2)
Openalex Percentile: Top 10%
Graph theory and applications
4.09
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