analysis of k-banhatti polynomials and calculation of some degree based indices using (a, b)-nirmala index in molecular graph and line graph of tuc4c8(s) nanotube

Mathematical chemistry is a branch of theoretical chemistry that studies molecular structure without considering their quantum mechanics using mathematical methods. carbon nanotubes are a particular type of fullerenes. in this article, k-banhatti indices are obtained with the help of k-banhatti polynomials for the molecular graph and the line graph of the tuc4c8(s) nanotube. next, first, the (a, b)- nirmala index is calculated for the molecular graph and line graph of tuc4c8(s) nanotube, and then using them, y-index and some topological indices are computed.