M-Polynomials and topological indices of V-Phenylenic Nanotubes and Nanotori

Abstract V-Phenylenic nanotubes and nanotori are most comprehensively studied nanostructures due to widespread applications in the production of catalytic, gas-sensing and corrosion-resistant materials. Representing chemical compounds with M-polynomial is a recent idea and it produces nice formulas...

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Autores principales:	Young Chel Kwun, Mobeen Munir, Waqas Nazeer, Shazia Rafique, Shin Min Kang
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2017
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/abbfdae96b214fde8844cc0f494291fc
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id	oai:doaj.org-article:abbfdae96b214fde8844cc0f494291fc
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spelling	oai:doaj.org-article:abbfdae96b214fde8844cc0f494291fc2021-12-02T16:06:03ZM-Polynomials and topological indices of V-Phenylenic Nanotubes and Nanotori10.1038/s41598-017-08309-y2045-2322https://doaj.org/article/abbfdae96b214fde8844cc0f494291fc2017-08-01T00:00:00Zhttps://doi.org/10.1038/s41598-017-08309-yhttps://doaj.org/toc/2045-2322Abstract V-Phenylenic nanotubes and nanotori are most comprehensively studied nanostructures due to widespread applications in the production of catalytic, gas-sensing and corrosion-resistant materials. Representing chemical compounds with M-polynomial is a recent idea and it produces nice formulas of degree-based topological indices which correlate chemical properties of the material under investigation. These indices are used in the development of quantitative structure-activity relationships (QSARs) in which the biological activity and other properties of molecules like boiling point, stability, strain energy etc. are correlated with their structures. In this paper, we determine general closed formulae for M-polynomials of V-Phylenic nanotubes and nanotori. We recover important topological degree-based indices. We also give different graphs of topological indices and their relations with the parameters of structures.Young Chel KwunMobeen MunirWaqas NazeerShazia RafiqueShin Min KangNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 7, Iss 1, Pp 1-9 (2017)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q Young Chel Kwun Mobeen Munir Waqas Nazeer Shazia Rafique Shin Min Kang M-Polynomials and topological indices of V-Phenylenic Nanotubes and Nanotori
description	Abstract V-Phenylenic nanotubes and nanotori are most comprehensively studied nanostructures due to widespread applications in the production of catalytic, gas-sensing and corrosion-resistant materials. Representing chemical compounds with M-polynomial is a recent idea and it produces nice formulas of degree-based topological indices which correlate chemical properties of the material under investigation. These indices are used in the development of quantitative structure-activity relationships (QSARs) in which the biological activity and other properties of molecules like boiling point, stability, strain energy etc. are correlated with their structures. In this paper, we determine general closed formulae for M-polynomials of V-Phylenic nanotubes and nanotori. We recover important topological degree-based indices. We also give different graphs of topological indices and their relations with the parameters of structures.
format	article
author	Young Chel Kwun Mobeen Munir Waqas Nazeer Shazia Rafique Shin Min Kang
author_facet	Young Chel Kwun Mobeen Munir Waqas Nazeer Shazia Rafique Shin Min Kang
author_sort	Young Chel Kwun
title	M-Polynomials and topological indices of V-Phenylenic Nanotubes and Nanotori
title_short	M-Polynomials and topological indices of V-Phenylenic Nanotubes and Nanotori
title_full	M-Polynomials and topological indices of V-Phenylenic Nanotubes and Nanotori
title_fullStr	M-Polynomials and topological indices of V-Phenylenic Nanotubes and Nanotori
title_full_unstemmed	M-Polynomials and topological indices of V-Phenylenic Nanotubes and Nanotori
title_sort	m-polynomials and topological indices of v-phenylenic nanotubes and nanotori
publisher	Nature Portfolio
publishDate	2017
url	https://doaj.org/article/abbfdae96b214fde8844cc0f494291fc
work_keys_str_mv	AT youngchelkwun mpolynomialsandtopologicalindicesofvphenylenicnanotubesandnanotori AT mobeenmunir mpolynomialsandtopologicalindicesofvphenylenicnanotubesandnanotori AT waqasnazeer mpolynomialsandtopologicalindicesofvphenylenicnanotubesandnanotori AT shaziarafique mpolynomialsandtopologicalindicesofvphenylenicnanotubesandnanotori AT shinminkang mpolynomialsandtopologicalindicesofvphenylenicnanotubesandnanotori
_version_	1718385167557459968

M-Polynomials and topological indices of V-Phenylenic Nanotubes and Nanotori

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