IJAM: Volume 38, No. 2 (2025)

DOI: 10.12732/ijam.v38i2.8

STRESS-SUM INDEX OF GRAPHS

WITH DIAMETER TWO

 

 

Niveditha 1, K Arathi Bhat 2,§, Shahistha Hanif 3

 

1,2,3 Department of Mathematics

Manipal Institute of Technology

Manipal Academy of Higher Education, Manipal

Karnataka, INDIA-576104

 

Abstract. The process of ranking molecular chemical compounds or large net works 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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How to cite this paper?
DOI: 10.12732/ijam.v38i2.8
Source: 
International Journal of Applied Mathematics
ISSN printed version: 1311-1728
ISSN on-line version: 1314-8060
Year: 2025
Volume: 38
Issue: 2

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[6] R. Poojary, K. A. Bhat, S. Arumugam, and M. P. Karantha, Stress of a graph and its  computation, AKCE Int. J. Graphs Comb., 20, No 2 (2023), 200–208.

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[8] D. B. West, Introduction to Graph Theory, Prentice Hall Upper, Saddle River (2001).

 

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