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Open AccessArticle

M-Polynomial and Degree Based Topological Indices of Some Nanostructures

Department of Mathematics, College of Sciences, University of Sharjah, Sharjah 27272, UAE
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Symmetry 2020, 12(5), 831; https://doi.org/10.3390/sym12050831
Received: 13 April 2020 / Revised: 11 May 2020 / Accepted: 14 May 2020 / Published: 19 May 2020
(This article belongs to the Special Issue Analytical and Computational Properties of Topological Indices)
The association of M-polynomial to chemical compounds and chemical networks is a relatively new idea, and it gives good results about the topological indices. These results are then used to correlate the chemical compounds and chemical networks with their chemical properties and bioactivities. In this paper, an effort is made to compute the general form of the M-polynomials for two classes of dendrimer nanostars and four types of nanotubes. These nanotubes have very nice symmetries in their structural representations, which have been used to determine the corresponding M-polynomials. Furthermore, by using the general form of M-polynomial of these nanostructures, some degree-based topological indices have been computed. In the end, the graphical representation of the M-polynomials is shown, and a detailed comparison between the obtained topological indices for aforementioned chemical structures is discussed. View Full-Text
Keywords: dendrimer nanostars; nanotubes; molecular graphs; degree-based topological indices; M-polynomial dendrimer nanostars; nanotubes; molecular graphs; degree-based topological indices; M-polynomial
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Raza, Z.; Essa K. Sukaiti, M. M-Polynomial and Degree Based Topological Indices of Some Nanostructures. Symmetry 2020, 12, 831.

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