M-Polynomial and Degree-Based Topological Indices of Polyhex Nanotubes
1
Division of Science and Technology, University of Education, Lahore 54000, Pakistan
2
Center for Excellence in Molecular Biology, Punjab University Lahore, Lahore 53700, Pakistan
3
Department of Mathematics and Research Institute of Natural Science, Gyeongsang National University, Jinju 52828, Korea
4
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(12), 149; https://doi.org/10.3390/sym8120149
Received: 13 October 2016 / Revised: 4 November 2016 / Accepted: 1 December 2016 / Published: 6 December 2016
The discovery of new nanomaterials adds new dimensions to industry, electronics, and pharmaceutical and biological therapeutics. In this article, we first find closed forms of M-polynomials of polyhex nanotubes. We also compute closed forms of various degree-based topological indices of these tubes. These indices are numerical tendencies that often depict quantitative structural activity/property/toxicity relationships and correlate certain physico-chemical properties, such as boiling point, stability, and strain energy, of respective nanomaterial. To conclude, we plot surfaces associated to M-polynomials and characterize some facts about these tubes.
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Keywords:
M-polynomial; degree-based index; polyhex nanotube
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MDPI and ACS Style
Munir, M.; Nazeer, W.; Rafique, S.; Kang, S.M. M-Polynomial and Degree-Based Topological Indices of Polyhex Nanotubes. Symmetry 2016, 8, 149. https://doi.org/10.3390/sym8120149
AMA Style
Munir M, Nazeer W, Rafique S, Kang SM. M-Polynomial and Degree-Based Topological Indices of Polyhex Nanotubes. Symmetry. 2016; 8(12):149. https://doi.org/10.3390/sym8120149
Chicago/Turabian StyleMunir, Mobeen; Nazeer, Waqas; Rafique, Shazia; Kang, Shin M. 2016. "M-Polynomial and Degree-Based Topological Indices of Polyhex Nanotubes" Symmetry 8, no. 12: 149. https://doi.org/10.3390/sym8120149
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