Topological Characterization for Triangular, Regular Triangular Oxides and Silicates Networks

Authors

  • Tarek Khalifa American University of the Middle East, Egaila 54200, Kuwait
  • Nawaf Ali American University of the Middle East, Egaila 54200, Kuwait
  • Muhammad Rafaqat The University of Lahore, Lahore, Pakistan
  • Muhammad Haroon Aftab The University of Lahore https://orcid.org/0000-0001-6441-2133
  • Hassan Kanj American University of the Middle East, Egaila 54200, Kuwait
  • Mouhammad Alakkoumi American University of the Middle East, Egaila 54200, Kuwait
  • Kamel Jebreen Department of Mathematics, Palestine Technical University-Kadoorie, Hebron, Palestine Department of Mathematics, An-Najah National University, Nablus, Palestine Biostatistics and Clinical Research Department, University Hospital, LariboisiA˜¨re, AP-HP, Universite’ Paris, France

DOI:

https://doi.org/10.29020/nybg.ejpam.v17i3.5324

Keywords:

degree, edge, M-Polynomials, Topological indices, TOX(r), RTOX(r), TSL(r), RTSL(r)

Abstract

Chemical graph theory can be studied with the aid of mathematical tools called m-polynomials. M-Polynomials offer a potent tool for computing different topological indices associated with vertex degrees and analyzing degree-based structural information in graphs. By counting specific substructure types within them, they are able to encode information about the structure of molecules or networks. In this article, we have developed M-Polynomials with the help of different topological invariants such as first Zagreb (M1(β)), second Zagreb (M2(β)), second modified Zagreb (Mm2(β)), inverse sum (I(β)), harmonic index (H(β)) and Randic index (Rα0(β)) for the molecular structures of Triangular oxide TOX(r), Regular triangular oxide RTOX(r), Triangular
silicate TSL(r) & Regular triangular silicate RTSL(r) networks to introduce new closed formulas to get better understanding the applications of M-Polynomials and topological indices in mathematical chemistry especially in the field of QSAR and QSPR study with the help of some software like MATLAB. We have also discussed the graphical behaviors of the above-mentioned structures.

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Published

2024-07-31

Issue

Vol. 17 No. 3: (July 2024)

Section

Nonlinear Analysis

License

Copyright (c) 2024 European Journal of Pure and Applied Mathematics

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How to Cite

Topological Characterization for Triangular, Regular Triangular Oxides and Silicates Networks. (2024). European Journal of Pure and Applied Mathematics, 17(3), 2106-2126. https://doi.org/10.29020/nybg.ejpam.v17i3.5324