Comparative Analysis of Subdivided Hex-Derived Networks Using Structural Descriptors

Abstract

A structural descriptor is a numeric quantity, invariant under symmetry, extracted from a molecular graph Γ using tools from mathematics. Hex-derived networks H D N 1 n and H D N 2 n being dual of (3,12,12) and (4,8,8) carbon allotrope (nanocones, nanotubes) are quite fascinating structures in mathematical chemistry. In this paper, we compute exact formulas of various significant structure descriptors for the subdivision of the second and the third kind of hex-derived networks S H D N 2 n and S H D N 3 n , respectively. Moreover, we perform a comparative graphical analysis among certain descriptors of S H D N 1 n , S H D N 2 n , and S H D N 3 n to help understand and provide an insight to anticipate some physicochemical properties of the networks under discussion.

Comparative Analysis of M-polynomial Based Topological Indices Between Poly Hex-derived Networks and Its Subdivision

“…For example, planarity is preserved when a graph is subdivided. In [37], Ahmad et al estimated the topological invariants for the subdivided Hex-derived network of type one (SHDN 1). Also, degree-based topological indices for the…”

“…For example, planarity is preserved when a graph is subdivided. In [37], Ahmad et al estimated the topological invariants for the subdivided Hexderived network of type one (SHDN1). Also, degree-based topological indices for the subdivided Hex-derived network of type three of dimension n (SHDN3[n]) and subdivided chain Hex-derived network of type three of dimension n (SCHDN3[n]) are evaluated in [38,39,40,41] in two different approaches.…”

“…After that, we calculate the degree-based topological indices for the STHDN3[n] and SRHDN3[n] networks by using the standard mathematical formulae based direct approach and also by the M-polynomial approach. In addition, to draw the comparisons of the M-polynomial and corre-Comparative analysis of M-polynomial based topological indices ... 75 subdivided Hex-derived network of type three of dimension n (SHDN 3[n]) and subdivided chain Hex-derived network of type three of dimension n (SCHDN 3[n]) are evaluated in [38,39,40,41] in two different approaches.…”

Retracted: Comparative Analysis of Subdivided Hex-Derived Networks Using Structural Descriptors

“…Tis article has been retracted by Hindawi following an investigation undertaken by the publisher [1]. Tis investigation has uncovered evidence of one or more of the following indicators of systematic manipulation of the publication process:…”