Computing omega and sadhana polynomials of carbon nanotubes

Counting polynomials are those polynomials having at exponent the extent of a property partition and coefficients the multiplicity/occurrence of the corresponding partition. In this paper, omega and Sadhana polynomials are computed for nanotubes. These polynomials were proposed on the ground of quasi-orthogonal cuts edge strips in polycyclic graphs. These counting polynomials are useful in the topological description of bipartite structures as well as in counting some single number descriptors, i.e. topological indices. These polynomials count equidistant and non-equidistant edges in graphs. In this paper, analytical closed formulas of these polynomials for H-Naphtalenic, TUC₄C₈(R)[m,n] and TUC₄[m,n], nanotubes are derived.