Some Multiplicative Neighborhood Dakhayani Indices of Certain Nanostructures

Abstract

A topological index is a numerical parameter mathematically derived from the graph structure. Connectivity indices are applied to measure the chemical characteristics of chemical compounds in Chemistry. In this paper, we introduce the multiplicative neighborhood Dakshayani indices, multiplicative hyper neighborhood Dakshayani indices, multiplicative sum connectivity neighborhood Dakshayani index, multiplicative product connectivity neighborhood Dakshayani index, general first and second multiplicative neighborhood Dakshayani indices of a molecular graph and determine exact formulas for these indices of line graphs of subdivision graphs of 2-D lattice, nanotube and nanotorus of $TUC_{4}C_{8}[p, q]$.