A study of two‐dimensional coronene fractal structures with M‐polynomials

Abstract

AbstractThe intriguing properties of polycyclic structure known as benzenoid hydrocarbons, which are unsaturated and totally conjugated molecules with hexagonal rings, continue to entice researchers to investigate their chemical and physical molecular structure with reference to aromaticity. To correlate important molecular structural attributes such as enthalpy, melting, boiling point, and cyclicity, numerical descriptors or topological indices which have been used for decades, for variety of two and three dimensional chemical structures networks or graphs with vital physicochemical properties. To determine the degree‐based topological indices, in this study, the degrees of the chemical structure or graph of the molecule under examination are utilized. In molecular graph theory, M‐polynomial is a relatively recent approach for investigating chemical networks and structures. It shows numerical descriptors in algebraic form and highlights molecular properties as a polynomial function. In this study, we propose a polynomials presentation of two‐dimensional coronene fractal structures and compute numerous M‐polynomials, including the M‐polynomials of the first and second Zagreb indexes, as well as the Randic index.