THE FIRST ECCENTRIC ZAGREB INDEX OF THE $N^{TH}$ GROWTH OF NANOSTAR DENDRIMER $D_{3}[N

A.Q Baig,Z Foruzanfar,M.R Farahani,W Sajjad

doi:10.12732/ijpam.v117i1.10

Abstract

THE FIRST ECCENTRIC ZAGREB INDEX OF THE $N^{TH}$ GROWTH OF NANOSTAR DENDRIMER $D_{3}[N

Highlights

Chemical graph theory is a branch of mathematical chemistry which has an important effect on the development of the chemical sciences
In 2012, the First Eccentric Zagreb index was introduced by Ghorbani and Hosseinzadeh that is the Eccentric version of first Zagreb index of the molecular graph G and is equal to [21]
We consider an infinite family of Nanostar Dendrimers and compute its First Eccentric Zagreb index and we call this First Eccentric Zagreb index Zg1∗(G) by the Third Zagreb index and denote by Zg3(G)

Summary

Introduction

Chemical graph theory is a branch of mathematical chemistry which has an important effect on the development of the chemical sciences. AMS Subject Classification: 05C90, 05C35, 05C12 Key Words: molecular graph, Zagreb topological index, nanostar dendrimer, D3[n] Let G = (V, E) be a simple connected molecular graph, the vertex and edge sets of a graph G are denoted by V (G) and E(G), respectively. The Eccentric connectivity index of the molecular graph G, was proposed by Sharma, Goswami and Madan [33] as, ξ(G) =

Results

Conclusion