Figure 8
From: Extreme events in multilayer, interdependent complex networks and control
Normalized effective betweenness and free flux distribution function.
For a single layer network of size N = 1000, (a) normalized effective betweenness of a node of degree k, pE, versus k, from simulation (squares) and theory (line). The simulation results are obtained from 20 network realizations. (b) The free flux distribution function P(w) for a node of degree 75 versus w obtained from simulation (squares) and theory (line), where the distribution function is meaningful only when the system is set to be free of extreme events, i.e., each node is set to have infinite capacity so that packets can travel freely via the shortest path towards their destinations. This way the theoretical probability for the node to be visited can be calculated.
