SECOND NEIGHBORHOOD STRESS INDEX FOR GRAPHS
M. Kirankumar, G. N. ADITHYA, D. SONER NANDAPPA, M. A. Sriraj, Modachakanahally K. Pavithra, Polaepalli Siva Kota Reddy · Global and Stochastic Analysis · 2025
We propose a new topological index for graphs, referred to as the second neighborhood stress index, which is defined based on the neighborhood stresses of individual vertices.Various inequalities involving this index are derived, and some results are proven. Additionally, the second neighborhood stress index values are calculated for certain well-known graphs. This study further explores the chemical relevance of the second neighborhood stress index by applying regression analysis to a dataset of 22 benzenoid hydrocarbons. Through power regression models, we assess the relationship between the second neighborhood stress index and multiple physicochemical properties of these hydrocarbons.