some graph operations and titania nanotubes in reformulated y-index and reformulated s-index

Topological indices are numerical values that correlate a molecular graph’s physical and chemical properties. titania nanotubes are a well-known semiconductor with a wide range of technological applications including biomedical devices, dye-sensitized solar cells, and so on. we offer two new graph invariants in this study known as the ‘reformulated y-index’ and ‘reformulated s-index’. we calculate some special graphs and the reformulated y-index and s-index for some graph operations like as join, cartesian product, corona product, corona join product, subdivision vertex join and evaluate the titania nanotubes in reformulated indices.