FIGURE 1

Behavior of network statistics in relation to the rewiring of links. The Y-axis is the normalized values for the empirical network statistics divided by the random values; the maximum value is arbitrarily set to 1. The X-axis is the log proportion of the links randomly reassigned in the network. C(p) is the empirical clustering value that changes as a function of p (rewiring) and C(0) is the fixed random value; L(p) is the empirical path length as a function of p and L(0) is the fixed random value. The graph shows that path length falls quickly to the empirical value, while the clustering value is more robust. The Small World domain is centered approximately on a P equal to 0.01.