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Neighborhood M-Polynomial of Crystallographic Structures

Sourav Mondal, Muhammad Kamran Siddiqui, Nilanjan De, Anita Pal, H Wiener, J Liu, C Wang, S Wang, B Wei, S Mondal, N De, A Pal, J Liu, J Zhao, J Min, J Cao, J Liu, J Zhao, Z Cai, J Liu, J Zhao, H He, Z Shao, S Mondal, N De, A Pal, I Gutman, V Alamian, A Bahrami, B Edalatzadeh, Pi, M Farahani, E Deutsch, S Klavzar, Y Kwun, M Munir, W Nazeer, S Rafque, S Kang, S Vollala, I Saravanan, S Mondal, N De, A Pal, Z Raza, M Sukaiti, S Mondal, N De, A Pal, S Hosamani, S Mondal, N De, A Pal, S Mondal, N De, A Pal, M Ghorbani, M Hosseinzadeh, M Ghorbani, M Hosseinzadeh, V Kulli, V Kulli, H Mujahed, B Nagy, H Yang, M Rashid, S Ahmad, S Khan, M Siddiqui, K Chen, C Sun, S Song, D Xue, J Zhang, J Liu, Q Peng, X Wang, Y Li, J Liu, M Siddiqui, M Zahid, M Naeem, A Baig

2020Biointerface Research in Applied Chemistry43 citationsDOIOpen Access PDF

Abstract

The mathematical chemistry is wealthy, having tools such as polynomials and functions that can predict the properties of compounds. The M-polynomial is one of them which yields degree-based topological indices. In this work, we define the neighborhood M-polynomial to obtain neighborhood degree-based topological indices. Further, we compute some neighborhood degree-based topological indices of the face-centered cubic (fcc) lattice and the crystallographic structure of cuprous oxide (〖Cu〗_2 O) using the neighborhood M-polynomial approach. Also, the results are shown graphically.

Topics & Concepts

Degree (music)PolynomialMathematicsLattice (music)CombinatoricsDiscrete mathematicsPhysicsMathematical analysisAcousticsGraph theory and applicationsComputational Drug Discovery MethodsGraph Labeling and Dimension Problems
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