We will work with the Erdős-Rényi random graph G n,p with parameters n ∈ N and p ∈ (0, 1). Vertices are labelled by [n] = {1, 2, . . . , n}. In this work we consider the generalized Randić index R α (G n,p ) with α ∈ R, as defined in . Recall that for the complete graph,