The connectivity distribution of the WS model depends strongly on pWS: for pWS=0 we have P(k) = (k − z), where z is the coordination number of the lattice, while for nite pWS, P(k) is still peaked around z, but it gets broader. Ultimately, as pWS → 1,the distribution P(k) approaches the connectivity distribution of a random graph, i.e. the distribution converges to that obtained for the ER model with pER = z=N (see Fig. 2b).
The connectivity distribution of the WS model depends strongly on pWS: for pWS=0 we have P(k) = (k − z), where z is the coordination number of the lattice, while for nite pWS, P(k) is still peaked around z, but it gets broader. Ultimately, as pWS → 1,the distribution P(k) approaches the connectivity distribution of a random graph, i.e. the distribution converges to that obtained for the ER model with pER = z=N (see Fig. 2b).
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