On Nirmala Indices of Some Hex-derived Networks of Type Three and Their Subdivision Networks

Abstract

Several degree-based topological indices have a vital role in the inspection of the chemical properties of various chemical networks. Hex-derived networks, made up of hexagonal mesh networks, have wide applications in the fields of technology, pharmacy and physical sciences. In this research work, we focus on different hex-derived networks of the third type of dimension n and their subdivisions. The Nirmala indices (such as the Nirmala index, the first inverse Nirmala index and the second inverse Nirmala index) are newly introduced degree-based topological indices. Here, we compute the values of these Nirmala indices for the above networks under consideration by operating their standard mathematical formulas and the M-polynomial based method. In addition, we plot the Nirmala indices of the networks and their subdivisions in different dimensions for the purpose of comparative studies among them. The results acquired are helpful in demonstrating the structural properties of considered hex-derived networks and their subdivisions. Also, it may influence the researchers for comparative based studies of the structure and their subdivisions in the sense of the Nirmala indices.