Computation of RDM-Polynomial, Operators, and Topological Descriptors for HexDerived Networks

Authors

  • Abdul Rauf Khan Department of Mathematics, Faculty of Sciences, Ghazi University, Dera Ghazi Khan, 32200, Pakistan
  • Saad Amin Bhatti Department of Mathematics, Faculty of Sciences, Ghazi University, Dera Ghazi Khan, 32200, Pakistan
  • Yilun Shang Department of Computer and Information Sciences, Northumbria University, Newcastle NE1 8ST, UK

DOI:

https://doi.org/10.52280/vpm9p478

Keywords:

Hex-derived Network, Molecular Structure, Reverse Degree, RDM Polynomial, Differential Operators, Integral Operators, Topological Descriptors, THDN3, RHDN3

Abstract

 In this paper, we formulate a reverse degree RDM-Polynomial for graphs, along with differential operators and integral operators derived from it. Reverse degree topological indices are also calculated using the computed RDM-Polynomials. Numerical invariants known as topological descriptors (TD’s) are essential for describing the molecular topology of a particular molecular graph. This method has been utilized to develop topological descriptors based on reverse degree. The present study analyses and computes the relevant indices for triangular and rectangular type-3 hex-derived networks. The results of this study provide researchers and academics with new insights that pave the way for further research and related discoveries.

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Published

2024-08-11

Issue

Section

Articles

How to Cite

Computation of RDM-Polynomial, Operators, and Topological Descriptors for HexDerived Networks. (2024). Punjab University Journal of Mathematics, 56(12), 838-859. https://doi.org/10.52280/vpm9p478