On Hosoya polynomial and subsequent indices of pent–heptagonal carbon nanosheets

Sheikh, Umber; Rashid, Sidra; Özel, Cenap; Pinčák, Richard

doi:10.1142/s0219887823500354

Cited by 3 publications

(1 citation statement)

References 28 publications

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“…This graph admits scalar graph invariants called topological indices. A topological index or connectivity index is a molecular structure descriptor that characterizes the compound's topology [10,11].…”

Section: Introductionmentioning

confidence: 99%

Analysis of a Productive Topological Index Correlated to Fullerenes’ Physical Properties

et al. 2022

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Fullerene is a cage-like carbon allotrope admitting a vast range of applications. Some of the important fullerenes are C54,C58,C60,C70,C74,C76,C78,C80C82,C84,C86,C90. The physical properties of fullerenes can be exhibited using the degree-based topological indices. The sum based geometric arithmetic index is significant in this manner. The sum based atomic bond connectivity, Randic, first and second Zagreb indices are well known topological indices. We have determined the regression relation between each of these indices and the sum based geometric arithmetic index. Moreover, the correlation coefficient is also calculated. Correlation is a symmetric relation, as it provides association between two variables. On the basis of regression analysis and correlation coefficient, it was found that each of this index is strongly related to the sum based geometric arithmetic index. Moreover, we have computed the regression relations concerning the physical properties depending on the sum based geometric arithmetic index. The physical properties include binding energies, Ramsauer-Townsend minima, shape resonances and heat of formation of fullerene molecules. It was concluded that the sum based GA index is the best in presenting the heat of the formation of molecules.

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Section: Introductionmentioning

confidence: 99%

Analysis of a Productive Topological Index Correlated to Fullerenes’ Physical Properties

et al. 2022

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On multiplicative universal Zagreb and its subsequent indices of C4C8 carbon nanostructures

Sheikh

Arshad

2023

Int. J. Geom. Methods Mod. Phys.

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Mathematical chemistry studies the chemical structure of molecules. Topological indices are numerical values which associates the chemical structure with the physical and chemical properties. Multiplicative Universal Zagreb indices are generalized degree-based topological indices which gave rise to several indices like first and second multiplicative, Zagreb and hyper-Zagreb indices, multiplicative sum and product conductivity indices. This research is designed to study the first and second multiplicative Universal Zagreb indices of carbon nanostructures (carbon nanosheet, nanotube and nanotorus) of the same chemical formula [Formula: see text] We also depict the values of first and second multiplicative, Zagreb and hyper-Zagreb indices as well as multiplicative sum and product connectivity indices for the mentioned structures. The graphical comparison for each of the multiplicative Zagreb indices is presented for all the carbon nanostructures with the same chemical formula [Formula: see text]

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Hosoya polynomials and corresponding indices of aramids

Rashid

Sheikh

Sattar

et al. 2023

Int. J. Geom. Methods Mod. Phys.

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Aramids are man-made high performance fibers admitting useful industrial applications. Aramids can be classified into para-aramids and meta-aramids. Kevlar is a para-aramid and Nomex is a meta-aramid. This work is devoted to compute the empirical formula for the Hosoya polynomial of these aramids. The closed form of a number of distance-related topological indices (TIs) is the famous distance-based Hosoya polynomial. These are Weiner, hyper-Weiner and Tratch–Stankevitch–Zafirov indices. Results exhibit that para-aramid and meta-aramid possess different Hosoya polynomials and corresponding distance-based TIs. Further, distance-related TIs derived from Hosoya polynomial for the para-aramid admit larger values as compared to those of the meta-aramid.

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On Hosoya polynomial and subsequent indices of pent–heptagonal carbon nanosheets

Cited by 3 publications

References 28 publications

Analysis of a Productive Topological Index Correlated to Fullerenes’ Physical Properties

Analysis of a Productive Topological Index Correlated to Fullerenes’ Physical Properties

On multiplicative universal Zagreb and its subsequent indices of C4C8 carbon nanostructures

Hosoya polynomials and corresponding indices of aramids

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