Omega, Theta, PI, Sadhana polynomials, and subsequent indices of convex benzenoid system

Abstract

In Chemical lea, the polycyclic aromatic hydrocarbons (PAHs) have intricate as a minimum of two benzene rings enclosed in the cluster, linear, or angular arrangements. Benzenoids are analyzed interestingly by mathematicians and mathematical chemists in immeasurable papers for the last three decades. The main aim of chemical graph theory arises in graph invariants, which investigate a particle’s chemical properties in a molecular graph. The convex benzenoid system (CBS) is the parent structure of polyacene, parallelogram, trapezium, circumcorone, circum-pyrene, triangular, and bitrapezium structures. The counting polynomials were the most powerful tool to achieve molecular orbitals of alkenes, alkynes, and aromatic hydrocarbons. This exploration presents the topological description of CBS, in the expressions of Ω(G,x),Θ(G,x),PI(G,x),Sd(G,x) polynomials and subsequent indices like theta index, PI index and Sadhana index. In this paper, we generalize the results of existing papers related to counting polynomials of certain molecular structures, which are CBS substructures.