Next Article in Journal
Morphometric Asymmetry of Frustule Outlines in the Pennate Diatom Luticola poulickovae (Bacillariophyceae)
Previous Article in Journal
EMG Pattern Classification by Split and Merge Deep Belief Network
Article Menu

Export Article

Open AccessArticle
Symmetry 2016, 8(12), 149;

M-Polynomial and Degree-Based Topological Indices of Polyhex Nanotubes

Division of Science and Technology, University of Education, Lahore 54000, Pakistan
Center for Excellence in Molecular Biology, Punjab University Lahore, Lahore 53700, Pakistan
Department of Mathematics and Research Institute of Natural Science, Gyeongsang National University, Jinju 52828, Korea
Center for General Education, China Medical University, Taichung 40402, Taiwan
Author to whom correspondence should be addressed.
Academic Editor: M. Lawrence Ellzey
Received: 13 October 2016 / Revised: 4 November 2016 / Accepted: 1 December 2016 / Published: 6 December 2016
Full-Text   |   PDF [2855 KB, uploaded 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. View Full-Text
Keywords: M-polynomial; degree-based index; polyhex nanotube M-polynomial; degree-based index; polyhex nanotube

Figure 1

This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).

Share & Cite This Article

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.

Show more citation formats Show less citations formats

Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Related Articles

Article Metrics

Article Access Statistics



[Return to top]
Symmetry EISSN 2073-8994 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
Back to Top