COMPUTING THE OMEGA AND THETA POLYNOMIALS AND THEIR INDICES OF AN ARMCHAIR POLYHEX NANOTUBES

The Omega polynomial (G,x) for counting qoc strips in G was defined by M.V. Diudea as (G,x)= ( , )xc cΣm G c with m(G,c), being the number of qoc strips of length c. The Theta polynomial Θ(G,x) was defined recently by M.V. Diudea on the ground of “Opposite Edge Strips” ops as Θ(G,x)= ( ( , ) )xc . c Σ m G c ´c One can obtain the Theta polynomial by replacing xc with c×xc in the Omega polynomial. Then the Theta index will be the first derivative of the Theta polynomial evaluated at x=1. Also, two topological indices CI(G) (Cluj- Ilmenau index) and the Omega index I are defined on the Omega polynomial. In the present study, we compute the Omega (G,x) and Theta Θ(G,x) Polynomials and their indices of an infinite class of physico chemical structure “Armchair Polyhex Nanotubes” for the first time.