Preprint Article Version 1 NOT YET PEER-REVIEWED

M-Polynomials and Topological Indices of Titania Nanotubes

  1. Department of Mathematics, Gyeongsang National University, Jinju 52828, Korea
  2. Division of Science and Technology, University of Education, Lahore-Pakistan
  3. Center for Excellence in Molecular Biology, Punjab University Lahore, Lahore 53700, Pakistan
Version 1 : Received: 19 October 2016 / Approved: 19 October 2016 / Online: 19 October 2016 (12:44:36 CEST)

A peer-reviewed article of this Preprint also exists.

Munir, M.; Nazeer, W.; Nizami, A.R.; Rafique, S.; Kang, S.M. M-Polynomials and Topological Indices of Titania Nanotubes. Symmetry 2016, 8, 117. Munir, M.; Nazeer, W.; Nizami, A.R.; Rafique, S.; Kang, S.M. M-Polynomials and Topological Indices of Titania Nanotubes. Symmetry 2016, 8, 117.

Journal reference: Symmetry 2016, 8, 117
DOI: 10.3390/sym8110117

Abstract

Titania is one of the most comprehensively studied nanostructures due to its widespread applications in production of catalytic, gas- sensing and corrosion- resistance materials [1]. 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 are correlated with their structure like boiling point, stability, strain energy etc of chemical compounds. In this paper, we determine M-polynomials of single-walled titanium (SW TiO2) nanotubes and recover important topological degree based indices of them to theoretically judge these nanotubes. We also use Maple to plot surfaces associated to different types of single-walled titanium (SW TiO2) nanotubes.

Subject Areas

degree-based topological index; Zagreb index; general Randic index; symmetric division index; M-polynomial, titania nanotubes

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