Computing two topological indices of nanostars dendrimer

Let Sigma be the class of finite graphs. A topological index is a function Top from Sigma into real numbers with this property that Top(G) = Top(H), if G and H are isomorphic. Let G be a graph and ci, the degree (= number of first neighbors) of its vertex v. Randio index of G is defined as chi = Sigma(d(u)d(v))-(Sigma)(sic)/(z) with the summation ranging over all pairs of adjacent vertices of G. Also, the atom-baud connectivity (ABC) index is formulated as ABC = Sigma u nu epsilon Xi(G)root d(u)/d(nu)-z/d(u)d(nu), where the summation goes over all edges of, and E(G) is the edge set of G with cardinality. m = vertical bar E(G)vertical bar. In this paper, we obtain the relationship between these two indices and then we compute ABC and Randic' indices of two types of nanostar dendrimers [1, 2].