Graph theory has supported chemist with topological indices which
predict different physicochemical properties such as boiling point,
entropy, acentric factor etc. of chemical compounds. In this article, we
introduce two new topological indices called degree locating indices,
based on the degree and location of the vertices, we present exact
expressions for some families of standard graphs and we get the exact
values of these indices for any graph of diameter two. Finally, we
compute these indices for the join of graphs, book graph and firefly
graph.