Topological Properties of Nanostar Dendrimer and Smart Polymer

Muhammad Aamer Rashid,Mehwish Hussain Muhammad,Sarfraz Ahmad,Murat Cancan

doi:10.1155/2020/1280632

Muhammad Aamer Rashid, Mehwish Hussain Muhammad + Show 2 more

Open Access

https://doi.org/10.1155/2020/1280632

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Abstract

The nanostar dendrimers are a piece of another gathering of macromolecules that seem, by all accounts, to be photon pipes simply like counterfeit reception apparatuses. In addition, nanostar dendrimers are one of the fundamental stuffs of nanobiotechnology. The smart polymers are large-scale particles that show an emotional physioconcoction change because of little changes in their condition, for example, temperature, pH, light, attractive field, and ionic variables. A topological record of a graph G is a numeric quantity notorious with G which portrays subatomic diagram G. In this paper, we decide first and second Zagreb indices, hyper-Zagreb index, first multiple Zagreb index, second numerous Zagreb index, and Zagreb polynomials for nanostar dendrimer and smart polymer.

Highlights

Scientific science is a part of hypothetical science where we examine and anticipate the compound erection by exploiting arithmetical devices
Substance diagram hypothesis is a part of scientific science wherein we apply apparatuses of chart hypothesis to display the synthetic marvel scientifically. is hypothesis contributes an unmistakable job in the fields of concoction sciences
From a polymer science perspective, dendrimers are almost immaculate monodisperse macromolecules with a customary and exceptionally fanned three-dimensional design. e nanostar dendrimer is a piece of another gathering of macroparticles that seem, by all accounts, to be photon channels like counterfeit reception apparatuses. ese macromolecules and all those more absolutely containing phosphorus are utilized in the development of nanotubes, smaller scale macrocapsules, nanolatex, shaded glasses, concoction sensors, and adjusted terminals [1]

Summary

Introduction

Scientific science is a part of hypothetical science where we examine and anticipate the compound erection by exploiting arithmetical devices. E idea of topological record originated from work done by Wiener [2], while he was taking a shot at breaking point of paraffin He named this record as way number. E Wiener list is the first and most concentrated topological file, both from hypothetical perspective and applications, and characterized as the whole of separations between all sets of vertices in G, see [3, 4]for subtleties. In 2012, Rostamia et al [24] figured first geometric-number juggling list, Randic file, and entirely available file for nanostar dendrimer NSC5C6[n] and NSD[n]. Consider the atomic chart NSC5C6[n], where n are ventures of development in this kind of nanostar dendrimer (see Figure 1). 16􏼐2n+2 − 6􏼑 + 25􏼐2n+2􏼑 + 16􏼐2n+2 − 6􏼑 + 25􏼐9 · 2n+2 − 28􏼑 + 36􏼐2n+1􏼑 + 36 3 · 2n − 10􏼁 + 64 2n􏼁

First and Second Zagreb Polynomial

Hyper-Zagreb Index

Conclusion