Fig. 7

Spatial behavior of congestions for the network model introduced in “Center-periphery entanglement with non-uniform nodes distribution” section. Left column shows the network configuration, where center and peripheral edges are painted in black and red, respectively. Here, hexagonal bins provide an information about the location of maximum betwenness nodes. Right column presents the dependence of the congestion radius on the patch one. Here, circles are located at the statistical mode over an ensemble of 100 realizations of different random distributions of nodes in a square of side equal to \(L=100\), with \(R^{(c)}=5\), \(\rho _c=\frac{N}{\pi (R^{(C)})^2}\), (\(N=10000\)). Rows refer to different density ratio. The figure depicts a clear transition pattern as that detected in Fig. 3