Computing eccentric connectivity index of nanostar dendrimers

Let G be a molecular graph, the eccentric connectivity index of G is defined as ξ^c(G) = Σ_u∈V(G)deg(u)·ecc(u), where deg(u) denotes the degree of vertex u and ecc(u) is the largest distance between u and any other vertex v of G, namely, eccentricity of u. In this study, we present exact expressions for the eccentric connectivity index of two infinite classes of nanostar dendrimers.