A Survey on Omega Polynomial of Nano Structures

A counting polynomial C(G, x) is a sequence description of a topological property so that the exponents express the extent of its partitions while the coefficients are related to the occurrence of these partitions. Basic definitions and properties of the Omega polynomial (G, x) and the Sadhana polynomial Sd(G, x) are presented. These polynomials for some infinite classes of fullerenes and nanotubes are also computed. The results of this paper are arranged according to the main Theorems of [9 43].