Fig. 1

Example of a network with N=2500 nodes obtained in the configuration model with Newman rewiring using the degree distribution and two-point correlations of a Barabasi-Albert network with β=1 (“BA1”). The largest hubs have degree n≃80. The giant connected component is approx. 70% of the total network. The small components do not include pairs (because they are forbidden by the two-point correlations), but do include triples and larger trees. The clustering coefficient is very small (< 10⁻³; it is exactly zero for a real BA1). One also notices in the giant component some “small-world” bridges which are absent in a real BA1