Phase transition in complex networks

We investigate numerically the influence of complex network topological structure on the traffic delivery, by incorporating local traffic information into the shortest path routing policy. As free traffic delivery on the communication networks is important to their efficient functioning, we find the network capacity that can be measured by the critical value of phase transition from free flow to congestion. Here, we present three kinds of traffic models based on the information processing capacity of individual nodes to study three kinds of networks, respectively.