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. 2004 Jan;86(1):85–91. doi: 10.1016/S0006-3495(04)74086-2

FIGURE 7.

FIGURE 7

In a SWN, the characteristic path length, L, should show a logarithmic dependence on the system size, N. Thus, the relation L α log(N) should hold up to a cutoff value of ∼8.5 Å. An example case for rc = 7 Å is shown. Also shown is the logarithmic dependence of L on N for the randomized networks, the slope of which is the inverse logarithm of the connectivity. That the relationship L = log N/log K should hold for Poisson and Gaussian distributed random networks is a well-known result (Newman et al., 2001).