A topological index of graph G is a numerical parameter related to G, which characterizes its topology and is preserved under isomorphism of graphs. Properties of the chemical compounds and topological indices are correlated. In this report, we compute closed forms of first Zagreb, second Zagreb, first multiple Zagreb index and second multiple Zagreb index of comb graph. Moreover, we give graphical representation of our results, showing the dependence of our results on the involved structural parameters.

Zagreb polynomial, topological index, comb graph.