Invariants of BT[p,q], BT(X)[p,q] and BT(Y)[p,q]

Abstract

Boron nitride nanotubes (BNNTs) have been increasingly investigated for use in a wide range of applications due to their unique physicochemical properties including high hydrophobicity, heat and electrical insulation, resistance to oxidation, and hydrogen storage capacity. They are also valued for their possible medical and biomedical applications including drug delivery, use in biomaterials, and neutron capture therapy. Chemical graph theory provides different tools to investigate different properties of nanotubes. Tools like topological invariants are useful to associate an appropriate number with a networks through which we can guess different hidden properties of under consideration network. There are more then 150 topological indices present in history, but no one gives use perfect result in predicting properties of networks. So there is always a room to introduce some new invariants that help us to gain better results. In this paper, we will introduce some new topological indices and polynomials, namely, Maxmin indices and Maxmin polynomials and, calculate results for three different boron nanotubes, boron triangular nanotube BT[p, q], boron‐α nanotube BT(X)[p, q] and boron‐α nanotube BT(Y)[p, q].