Molecular Properties of Symmetrical Networks Using Topological Polynomials

Abstract

A numeric quantity that comprehend characteristics of molecular graph Γ of chemical compound is known as topological index. This number is, in fact, invariant with respect to symmetry properties of molecular graph Γ. Many researchers have established, after diverse studies, a parallel between the physico chemical properties like boiling point, stability, similarity, chirality and melting point of chemical species and corresponding chemical graph. These descriptors defined on chemical graphs are extremely helpful for researchers to conduct regression model like QSAR/QSPR and better understand the physical features, complexity of molecules, chemical and biological properties of underlying compound.In this paper, several structure descriptors of vital importance, namely, first, second, modified and augmented Zagreb indices, inverse and general Randic indices, symmetric division, harmonic, inverse sum and forgotten indices of Hex-derived Meshes (networks) of two kinds, namely, HDN1(n) and HDN2(n) are computed and recovered using general approach of topological polynomials.

On the Structural Properties and Some Topological Indices of Young-Fibonacci Graphs

“…Estrada index was introduced by Ernesto Estrada [22]. For a graph G(V, E), the Estrada index is denoted by EE(G), defined as EE(G) = n i=1 e λi where λ i are the eigenvalues of adjacency matrix of the graph G. The Laplacian Estrada index [23] is denoted by LEE(G) and defined as LEE(G) = n j=1 e µ j where µ j are the eigenvalues of Laplacian matrix of graph G. Integer Partitions is an interesting field in Combinatorics, which gives a number of applications in different fields like genetics, statistical mechanics, and modern algebra [3,4,31,32]. A Partition Function P n [19], is the function counting the number of partitions for a given natural number.…”

On Analysis of Topological Aspects for Subdivision of Kragujevac Tree Networks

“…Molecular descriptors are playing significant role in chemistry, pharmacology, and biological and physical sciences [4]. Topological indexes via M-polynomials are the prominent component for studying the various properties of chemical graphs [5,6].…”

Investigation on Boron Alpha Nanotube by Studying Their M‐Polynomial and Topological Indices

“…In 2015, M-polynomial is introduced in [15]. TIs via M-polynomial is extensively calculated by many researchers nowadays [14,16,17]. M-polynomial for the graph G is defined as follows:…”