Homogeneity of Load Distribution Plays a Key Role in Global Synchronizability of Complex Networks

Abstract

Many structure parameters have been suggested to predict the synchronizability of complex networks. They were qualitatively suitable for certain networks but failed for others. Based on the coupled oscillator model, we find that the homogeneity of load distribution determines the synchronizability of complex networks, and the standard deviation of edge betweenness centrality is coincident with synchronizability for various complex networks. These results suggest that in order for a network to hence to synchronize more effectively, the load distribution must be more homogeneous.