Computing Vertex PI, Omega and Sadhana Polynomials of F12(2n+1) Fullerenes

The topological index of a graph g is a numeric quantity related to g which is invariant under automorphisms of g. the vertex pi polynomial is defined as pi v (g)=σe=uvnu(e) +nv(e). then omega polynomial ώ (g,x) for counting qoc strips in g is defined as ώ(g,x) = σcm(g,c)xc with m(g,c) being the number of strips of length c. in this paper, a new infinite class of fullerenes is constructed. the vertex pi, omega and sadhana polynomials of this class of fullerenes are computed for the first time.