Abstract

A dendrimer is an artificially manufactured or synthesized molecule built up from branched units called monomers. In mathematical chemistry, a particular attention is given to degree-based graph invariant. The Narumi–Katayama index and its modified Narumi–Katayama index of a graph G denoted by NK (G) and NK ∗ (G) are equal to the product of the degrees of the vertices of G. In this paper, we calculate the Narumi–Katayama Index and modified Narumi–Katayama index for some families of dendrimers.

Highlights

  • A molecular graph is a simple graph related to the structure of a chemical compound

  • Each vertex of a molecular graph represents an atom of the molecule and its edges to the bonds between atoms

  • Chemical Graph eory has an important effect on the development of Chemical Sciences

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Summary

Introduction

Each vertex of a molecular graph represents an atom of the molecule and its edges to the bonds between atoms. In Chemical Science, the multiplicative connectivity indices are used in the analysis of drug molecular structures which are helpful to find out the biological and chemical characteristics of drugs. A molecular graph G (V, E) with the vertex set V (G) and the edge set E (G) is a graph whose vertices denote atoms and edges denote bonds between the atoms of any underlying chemical structure.

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