Computing harmonic indices of series benzenoid Hk and hydrocarbons PAHk by use of cut method

Let G = (V, F) be a simple connected molecular graph with the vertex set V = V(G) and the edge set E = E(G). The second and third harmonic indices have been introduced as H-2 (G) = Sigma(uv is an element of E(G)) 2/n(u) + n(v) and H-3 (G) = Sigma(uv is an element of E(G)) 2/m(u) + m(v), where n(u) is the number of vertices of G lying closer to u and m(u) is the number of edges of G lying closer to n than to v. The goal of this paper is computing the harmonic indices of a class of benzenoid numelis: "Circumcoronene series of benzenoid H-k" and "Polycyclic Aromatic Hydrocarbons PAH(k)" for all positive integer number k.