Multiplicative topological properties of graphs derived from honeycomb structure

Abstract

Topological indices are numerical parameters of a molecular graph, which characterize its topology and are usually graph invariant. In quantitative structure-activity relationship/quantitative structure-property relationship study, physico-chemical properties and topological indices such as Randić, atom-bond connectivity (ABC), and geometric-arithmetic (GA) index are used to predict the bioactivity of chemical compounds. Graph theory has found a considerable use in this area of research. In this paper, we are taking Dominating David Derived networks, produced by honeycomb structure of dimension t and obtain analytical closed results of Multiplicative topological indices and acquire exact results of degree based indices.

Keywords

• first and second multiplicative zagreb index
• first and second hyper-zagreb index
• first and second universal zagreb index
• sum and product connectivity of multiplicative indices
• multiple atom-bond connectivity and geometric-arithmetic index