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.