A molecular graph or a chemical graph is a graph related to the structure of a chemical compound. The topological indices play a vital role in understanding the physical, chemical, and topological properties of the respective compound. ln this article, we discuss the computation of the degree-based topological indices, namely -the fifth −Zagreb indices and their polynomials, fifth hyper −Zagreb indices and their polynomials, general fifth −Zagreb indices and their polynomials, third Zagreb index and it is polynomial for the 4 8 ( )[ , ] lattice, its subdivision, and para-line graphs.