Ravi Kumar C. K

THE SECOND HYPER-GOURAVA STRESS INDEX OF GRAPHS: MATHEMATICAL PROPERTIES AND QSPR APPLICATIONS

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 second hyper-Gourava stress index, which is defined using the stresses of vertices. Further, we establish several inequalities, prove related results, and compute the second hyper-Gourava stress index for some standard graphs. Similarly, we establish the importance of the second hyper-Gourava stress index in predicting the physicochemical properties of lower alkanes.