@article{Barthelemy1999,
title={Small-world networks: Evidence for a crossover picture},
author={Barthelemy M, 
Amaral LAN},
abstract={Watts and Strogatz [Nature (London) 393, 440 (1998)] have recently introduced a model for disordered networks and reported that, even for very small values of the disorder p in the links, the network behaves as a "small world." Here, we test the hypothesis that the appearance of small-world behavior is not a phase transition but a crossover phenomenon which depends both on the network size n and on the degree of disorder p. We propose that the average distance l between any two vertices of the network is a scaling function of n/n*. The crossover size n* above which the network behaves as a small world is shown to scale as n*(p much less than 1) similar to p(-tau) with tau approximate to 2/3.},
journal={Physical Review Letters},
volume={82},
doi={10.1103/PhysRevLett.82.3180},
year={1999},
month={APR},
day={12},
pages={3180--3183},
}