Upper bounds for the multiplicative Y-index and S-index of some operations on graphs

Topological index is a numerical descriptor of a molecule; it is found that there is strong correlation between the proerties of chemical compounds and their molecular structure based on a specific topological feature of the corresponding molecular graph. In this paper, we introduce two new graph invariants known as the Multiplicative Y -index and Multiplicative S-index of a graph. We establish the upper bounds for the Multiplicative Y-index and Multiplicative S-index of the graph operations such as Join, Cartesian product, Composition, Tensor product, Strong product, Disjunction, Symmetric difference, Corona product, Corona join product and the indices are evaluated for some well-known graphs.