NEW BOUNDS ON RECENT TOPOLOGICAL INDICES OF GRAPHS

NEW BOUNDS ON RECENT TOPOLOGICAL INDICES OF GRAPHS

B. Basavanagoud, G. Veerapur

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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.

Keywords

The Geometric-Harmonic index, the modified first Kulli-Basava index, maximum vertex degree, minimum vertex degree.