Effect of weight distribution on the synchronization of weighted generalized local-world networks

Weighted networks can give the detailed description of interaction between the agents of complex systems, so weighted networks is more resemble real-networks than unweighted networks. It is a new way to improve the properties of complex networks by adjusting the weight distribution. Based on the synchronization of unweighted complex networks, the synchronizability of weighted generalized local-world networks can be measured by eigenratio R. We find that weight distribution has an important effect on the synchronization of weighted generalized local-world networks. The uniform weight distribution will lead to better synchronizability.