Analysis of K-Banhatti Polynomials and Calculation of Some Degree Based Indices Using (a, b)-Nirmala Index in Molecular Graph and Line Graph of TUC۴C۸(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 TUC۴C۸(S) nanotube. Next, first, the (a, b)- Nirmala index is calculated for the molecular graph and line graph of TUC۴C۸(S) nanotube, and then using them, Y-index and some topological indices are computed.