The clustering coefficient of a scale-free random graph

We consider a random graph process in which, at each time step, a new vertex is added with m out-neighbours, chosen with probabilities proportional to their degree plus a strictly positive constant. We show that the expectation of the clustering coefficient of the graph process is asymptotically proportional to log n n . Bollobás and Riordan [3] have previously shown that when the constant is zero, the same expectation is asymptotically proportional to (log n) 2 n .