Comparative analysis of M-polynomial based topological indices between poly Hex-derived networks and their subdivisions

Abstract

Topological indices are a vital class of structural descriptors that are extensively adopted in the innovation of structure-property models, virtual synthesis, drug design, and the assessment of similarity and diversity. Hex-derived networks have numerous applications in the pharmaceutical industry, as well as in hardware and system administration. In this paper, we first lay out the graph of subdivided poly Hex-derived networks of third type of dimension n (SPHDN3[n]) and then estimate the values of the degree-based topological indices using their precise formulas, which are related to their structure size. Additionally, with the help of the M-polynomials of SPHDN3[n] networks, we also compute and analyse their topological indices. Furthermore, we carry out a comparative graphical analysis between each of the calculated degree-based topological indices of the poly Hex-derived network of third type (PHDN3[n]) and SPHDN3[n] networks for better understanding and prediction of their physicochemical properties.