The Vertex PI, Szeged Polynomials and Omega Polynomial of Nano Cones

A topological index of a graph G is a numeric quantity related to G which is invariant under automorphisms of G. A new counting polynomial, called the "Omega" W(G, x) polynomial, was recently proposed by Diudea on the ground of quasi-orthogonal cut "qoc" edge strips in a polycyclic graph. In this paper, the vertex PI, zeged indices and omega polynomial of some fullerenes and nano horn molecules are computed.