A NOVEL FIRST HYPER-GOURAVA STRESS INDEX OF GRAPHS WITH QSPR APPLICATIONS

Abstract

The stress of a graph is the number of geodesics (shortest paths) that pass through each vertex. A topological index of a chemical structure (graph) is a number that correlates the chemical structure with its chemical reactivity or physical properties. In this paper, we introduce a new topological index for graphs called the first hyper-Gourava stress index, which is defined using the stresses of vertices. Further, we establish several inequalities, prove related results, and compute the first hyper-Gourava stress index for some standard graphs. Similarly, we establish the importance of the first hyperGourava stress index in predicting the physicochemical properties of loweralkanes.