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

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.