Inspired by the above analysis and in order to complement the main results, L[α, λ] and c[α, λ] are plotted as functions of λ for some values of α in Figure . On the other hand, in a more recent work , the author employed primarily Taylor expansion and the Mean Value Theorem to study the generalized Randić index on an inhomogeneous Erdős-Rényi random graph (encompassing the classical Erdős-Rényi random graphs). Specifically, in Corollary 2.2, the author obtained that: with np n log(2) ≥ log(n) (indicating an a.s connected graph), it follows that