K Banhatti and K hyper-Banhatti indices of nanotubes

Nanomaterials are compound substances or materials that are produced and utilized at an exceptionally little scale. Nanomaterials are created to display novel attributes contrasted with a similar material without nanoscale highlights, for example, expanded quality, synthetic reactivity or conductivity. Topological indices are numbers related to molecular graphs that catch symmetry of molecular structures and give it a scientific dialect to foresee properties, such as: boiling points, viscosity, the radius of gyrations and so on. In this paper, we aim to compute topological indices of T U C 4 [ m , n ] , T U Z C 6 [ m , n ] , T U A C 6 [ m , n ] , S C 5 C 7 [ p , q ] , N P H X [ p , q ] , V C 5 C 7 [ p , q ] and H C 5 C 7 [ p , q ] nanotubes. We computed first and second K Banhatti indices, first and second K hyper-Banhatti indices and harmonic Banhatti indices of understudy nanotubes. We also computed multiplicative version of these indices. Our results can be applied in physics, chemical, material, and pharmaceutical engineering.