Abstract

Dendrimers are highly branched organic macromolecules with successive layers of branch units surrounding a central core. Some properties like toxicity, entropy, and heats of vaporization of these dendrimers can be forecasted using topological indices. The present article is devoted to study of irregularity indices of three well-known classes of dendrimers, namely, nanostar dendrimer D[p], fullerene dendrimer NS4[p], and polymer dendrimerNS5[p], where p is the step size. We also see the relation of irregularity of these dendrimers on the step size graphically.

Highlights

  • Dendrimers are nanosized, gradually well-formed molecules with precise, homogeneous, and monodispersed structure consisting of tree-like arms or branches used as anticancer drug [1]. ese molecules were formed initially in 1978, by D

  • Dendrimers might be labeled as “cascade molecules,” but this term is not fixed as dendrimers [2,3,4]

  • We give the graphical analysis of the irregularity measures of the above three classes of dendrimer structures

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Summary

Introduction

Dendrimers are nanosized, gradually well-formed molecules with precise, homogeneous, and monodispersed structure consisting of tree-like arms or branches used as anticancer drug [1]. ese molecules were formed initially in 1978, by D. Dendrimers are nanosized, gradually well-formed molecules with precise, homogeneous, and monodispersed structure consisting of tree-like arms or branches used as anticancer drug [1]. Ese molecules were formed initially in 1978, by D. Dendrimers are approximately monodisperse macromolecules consisting of symmetric branched units constructed around a small molecule or a linear polymer core [5,6,7]. Ese are eminently defined artificial macromolecules, which are described by a combination of a high number of functional groups and a compact molecular structure [3]. E formations of dendrimer molecules start with the central atom or group of atoms called core [5, 9,10,11,12]. It has been keenly observed that the geometry and pattern of chemical systems characterize its physical aspects [16,17,18,19,20,21,22,23,24]

Preliminaries and Notations
Main Results
Graphical Analysis, Discussions, and Conclusions
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