New bounds on recent topological indices of graphs

Abstract

The Geometric-Harmonic index GH(ζ) of a simple graph ζ is defined as the sum of the terms (dζ(f)+dζ(g))√dζ(f)·dζ(g)/2 over all edges fg of ζ and the modified first Kulli-Basava index KB*₁ of a simple graph ζ is defined as the sum of the terms Se(f)² over all vertices f of ζ. Using several molecular structural parameters, we establish some new bounds on the Geometric-harmonic index and the modified first Kulli-Basava index in this study and connect these indices to a number of well-known molecular descriptors.