On Reformulated Geometric-Harmonic Index of Graphs

Abstract

In theoretical chemistry, the topological indices are mostly used to explore/develop QSAR and QSPR analyses of molecular graphs. The edge variant of the Geometric-Harmonic index is one type of topological indices it is described as (equation), where dG (t) is the degree of a vertex t in G . In this paper, using several molecular structural parameters, we establish some new bounds on the the edge variant of Geometric-Harmonic index EGH(G ). Also, we connect these indices to a number of well-known molecular descriptors.

Keywords: Reformulated Zagreb indices; edge degree; vertex degree; platt number; order and size.

2020 Mathematics Subject Classification. 05C09, 05C92