L´OPEZ-BONILLA INDEX FOR GRAPHS

K. Jayalakshmi, H. Mangala Gowramma, J. L ́opez-Bonilla, R. Rajendra, Polaepalli Siva Kota Reddy · South East Asian J of Mathematics and Mathematical Sciences · 2025

Chemical reactivity or physical attributes are correlated with a chemical structure through a number known as the topological index of that structure. Several topological indices have been defined on graphs using degrees of vertices, for instance first and second Zagreb indices. In this paper, we introduce a new topological index of a graph called López-Bonilla index using tension on edges. Further, we establish some inequalities and compute López-Bonilla index for some standard graphs. Further, a QSPR analysis has been carried to demonstrate that López-Bonilla index can be used as a predictive measure for physical properties of lower alkanes. Linear regression models involving López-Bonilla index have been presented for some physical properties of lower alkanes.

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