Figure 3: Small-World Propensity in weighted networks.
(a) Generation of weighted small-world networks. After building a lattice, the edges are weighted by distance such that close edges have a higher strength than distant edges. These edge weights are then retained as links are rewired with a probability, p, to create a weighted small-world network. (b) Weighted clustering coefficient and weighted path length as a function of the rewiring parameter, p, for a weighted formulation of a small-world network with N = 1000 nodes and r = 5. (c) Weighted SWP calculated for the same network as in panel (b). Error bars represent the standard error of the mean calculated over 50 simulations, and the shaded regions represent the range denoted as small-world if using a threshold value of ϕT = 0.6. (d) Weighted SWP as a function of network density (increasing r for N = 1000 nodes).
