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Biomolecules 2018, 8(4), 107;

M-Polynomials and Degree-Based Topological Indices of the Crystallographic Structure of Molecules

School of Information Science and Technology, Yunnan Normal University, Kunming 650500, China
Department of Mathematics, COMSATS University Islamabad, Lahore Campus, Lahore 54000, Pakistan
Department of Mathematics, University of Education, Vehari Campus, Lahore 54000, Pakistan
Division of Science and Technology, University of Education, Lahore 54000, Pakistan
Author to whom correspondence should be addressed.
Received: 4 September 2018 / Revised: 27 September 2018 / Accepted: 28 September 2018 / Published: 3 October 2018
PDF [5845 KB, uploaded 11 October 2018]


Topological indices are numerical parameters used to study the physical and chemical properties of compounds. In quantitative structure–activity relationship QSARs, topological indices correlate the biological activity of compounds with their physical properties like boiling point, stability, melting point, distortion, and strain energy etc. In this paper, we determined the M-polynomials of the crystallographic structure of the molecules Cu2O and TiF2 [p,q,r]. Then we derived closed formulas for some well-known topological indices using calculus. In the end, we used Maple 15 to plot surfaces associated with the topological indices of Cu2O and TiF2 [p,q,r]. View Full-Text
Keywords: M-polynomial; zagreb index; randić index; crystallographic structure M-polynomial; zagreb index; randić index; crystallographic structure

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Gao, W.; Younas, M.; Farooq, A.; Mahboob, A.; Nazeer, W. M-Polynomials and Degree-Based Topological Indices of the Crystallographic Structure of Molecules. Biomolecules 2018, 8, 107.

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