Computing K Banhatti and K Hyper Banhatti indices of Titania nanotubes TiO2[m, n]

Abstract

Graph theory has been used for modeling in chemistry. Titania nanotubes are one of the most essential and practical compounds in materials science that have many applications in the production of catalytic materials, gas sensors, biomedical devices, solar cells, etc. In this article, by providing a method to obtain the degree of vertices in the section of the corresponding nanotube, the K Banhatti and K Hyper Banhatti indices are computing. Next, the K Banhatti and K Hyper Banhatti indices in the line graph of Titania nanotubes TiO2[m, n] are also computing. To compare the obtained values, diagrams of K Banhatti and K Hyper Banhatti indices are drawn.