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M-Polynomial and Related Topological Indices of Nanostar Dendrimers

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 the RINS, Gyeongsang National University, Jinju 52828, Korea
*
Author to whom correspondence should be addressed.
Academic Editor: Victor Borovkov
Symmetry 2016, 8(9), 97; https://doi.org/10.3390/sym8090097
Received: 19 August 2016 / Revised: 10 September 2016 / Accepted: 13 September 2016 / Published: 21 September 2016
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Abstract

Dendrimers are highly branched organic macromolecules with successive layers of branch units surrounding a central core. The M-polynomial of nanotubes has been vastly investigated as it produces many degree-based topological indices. These indices are invariants of the topology of graphs associated with molecular structure of nanomaterials to correlate certain physicochemical properties like boiling point, stability, strain energy, etc. of chemical compounds. In this paper, we first determine M-polynomials of some nanostar dendrimers and then recover many degree-based topological indices. View Full-Text
Keywords: degree-based topological indices; Zagreb indices; general Randic index; symmetric division index; M-polynomials; nanostar dendrimers degree-based topological indices; Zagreb indices; general Randic index; symmetric division index; M-polynomials; nanostar dendrimers
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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).
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Munir, M.; Nazeer, W.; Rafique, S.; Kang, S.M. M-Polynomial and Related Topological Indices of Nanostar Dendrimers. Symmetry 2016, 8, 97.

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