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M-Polynomials and Topological Indices of Titania Nanotubes

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Division of Science and Technology, University of Education, Lahore 54000, Pakistan
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Center for Excellence in Molecular Biology, Punjab University Lahore, Lahore 53700, Pakistan
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Department of Mathematics and RINS, Gyeongsang National University, Jinju 52828, Korea
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Center for General Education, China Medical University, Taichung 40402, Taiwan
*
Author to whom correspondence should be addressed.
Academic Editor: M. Lawrence Ellzey
Symmetry 2016, 8(11), 117; https://doi.org/10.3390/sym8110117
Received: 12 September 2016 / Revised: 19 October 2016 / Accepted: 25 October 2016 / Published: 31 October 2016
Titania is one of the most comprehensively studied nanostructures due to their widespread applications in the production of catalytic, gas sensing, and corrosion-resistant materials. M-polynomial of nanotubes has been vastly investigated, as it produces many degree-based topological indices, which are numerical parameters capturing structural and chemical properties. These indices are used in the development of quantitative structure-activity relationships (QSARs) in which the biological activity and other properties of molecules, such as boiling point, stability, strain energy, etc., are correlated with their structure. In this report, we provide M-polynomials of single-walled titania (SW TiO2) nanotubes and recover important topological degree-based indices to theoretically judge these nanotubes. We also plot surfaces associated to single-walled titania (SW TiO2) nanotubes. View Full-Text
Keywords: degree-based topological index; Zagreb index; general randic index; symmetric division index; M-polynomial; titania nanotubes degree-based topological index; Zagreb index; general randic index; symmetric division index; M-polynomial; titania nanotubes
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Munir, M.; Nazeer, W.; Nizami, A.R.; Rafique, S.; Kang, S.M. M-Polynomials and Topological Indices of Titania Nanotubes. Symmetry 2016, 8, 117.

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