Analysis of SC5C7p,q and NPHXp,q Nanotubes via Topological Indices

Scientists are creating materials, for example, a carbon nanotube-based composite created by NASA that bends when a voltage is connected. Applications incorporate the use of an electrical voltage to change the shape (transform) of air ship wings and different structures. Topological indices are numb...

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Main Authors: Ye-Jun Ge, Jia-Bao Liu, Muhammad Younas, Muhammad Yousaf, Waqas Nazeer
Format: Article
Language:English
Published: Hindawi Limited 2019-01-01
Series:Journal of Nanomaterials
Online Access:http://dx.doi.org/10.1155/2019/2072789
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spelling doaj-bcbb4f611e4c40fe8a0d1c047e85224f2020-11-25T00:14:40ZengHindawi LimitedJournal of Nanomaterials1687-41101687-41292019-01-01201910.1155/2019/20727892072789Analysis of SC5C7p,q and NPHXp,q Nanotubes via Topological IndicesYe-Jun Ge0Jia-Bao Liu1Muhammad Younas2Muhammad Yousaf3Waqas Nazeer4School of Materials and Chemical Engineering, Anhui Jianzhu University, Hefei 230601, ChinaSchool of Mathematics and Physics, Anhui Jianzhu University, Hefei 230601, ChinaDepartment of Mathematics, COMSATS University Islamabad, Lahore Campus, Lahore 54000, PakistanDepartment of Mathematics, COMSATS University Islamabad, Lahore Campus, Lahore 54000, PakistanDivision of Science and Technology, University of Education, Lahore 54000, PakistanScientists are creating materials, for example, a carbon nanotube-based composite created by NASA that bends when a voltage is connected. Applications incorporate the use of an electrical voltage to change the shape (transform) of air ship wings and different structures. Topological indices are numbers related with molecular graphs to allow quantitative structure activity/property/poisonous relationships. Topological indices catch symmetry of molecular structures and give it a scientific dialect to foresee properties, for example, boiling points, viscosity, and the radius of gyrations. We compute M-polynomials of two nanotubes, SC5C7p,q and NPHXp,q. The closed form of M-polynomials for these nanotubes produces formulas of numerous degree-based topological indices which are functions relying on parameters of the structure and, in combination, decide properties of the concerned nanotubes. Moreover, we sketch our results by using Maple 2015 to see the dependence of our results on the involved parameters.http://dx.doi.org/10.1155/2019/2072789
collection DOAJ
language English
format Article
sources DOAJ
author Ye-Jun Ge
Jia-Bao Liu
Muhammad Younas
Muhammad Yousaf
Waqas Nazeer
spellingShingle Ye-Jun Ge
Jia-Bao Liu
Muhammad Younas
Muhammad Yousaf
Waqas Nazeer
Analysis of SC5C7p,q and NPHXp,q Nanotubes via Topological Indices
Journal of Nanomaterials
author_facet Ye-Jun Ge
Jia-Bao Liu
Muhammad Younas
Muhammad Yousaf
Waqas Nazeer
author_sort Ye-Jun Ge
title Analysis of SC5C7p,q and NPHXp,q Nanotubes via Topological Indices
title_short Analysis of SC5C7p,q and NPHXp,q Nanotubes via Topological Indices
title_full Analysis of SC5C7p,q and NPHXp,q Nanotubes via Topological Indices
title_fullStr Analysis of SC5C7p,q and NPHXp,q Nanotubes via Topological Indices
title_full_unstemmed Analysis of SC5C7p,q and NPHXp,q Nanotubes via Topological Indices
title_sort analysis of sc5c7p,q and nphxp,q nanotubes via topological indices
publisher Hindawi Limited
series Journal of Nanomaterials
issn 1687-4110
1687-4129
publishDate 2019-01-01
description Scientists are creating materials, for example, a carbon nanotube-based composite created by NASA that bends when a voltage is connected. Applications incorporate the use of an electrical voltage to change the shape (transform) of air ship wings and different structures. Topological indices are numbers related with molecular graphs to allow quantitative structure activity/property/poisonous relationships. Topological indices catch symmetry of molecular structures and give it a scientific dialect to foresee properties, for example, boiling points, viscosity, and the radius of gyrations. We compute M-polynomials of two nanotubes, SC5C7p,q and NPHXp,q. The closed form of M-polynomials for these nanotubes produces formulas of numerous degree-based topological indices which are functions relying on parameters of the structure and, in combination, decide properties of the concerned nanotubes. Moreover, we sketch our results by using Maple 2015 to see the dependence of our results on the involved parameters.
url http://dx.doi.org/10.1155/2019/2072789
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