POLYNOMIALS OF DEGREE-BASED INDICES FOR HEXAGONAL NANOTUBES

In theoretical chemistry, topological indices are used for modelling properties of chemical compounds and biological activities in chemistry, biochemistry and nanotechnology. Topological indices of nanotubes are numerical descriptors which are derived from graphs of chemical compounds. These indices are extensively used for establishing relationships between the structure of nanotubes and their physico-chemical properties. One or a few chosen polynomials of topological indices for nanotubes have been studied in several papers. We give general formulas and use them to obtain any polynomial of degree-based indices for hexagonal nanotubes. We also show that the derivatives of these polynomials can be used to obtain various topological indices such as the general Randic index for hexagonal nanotubes.