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Small-World Networks: Evidence for a Crossover Picture
Physical Review Letters
Watts and Strogatz [Nature 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 isdoi:10.1103/physrevlett.82.3180 fatcat:iacru5punvapjaaqi4r3loxuy4