Enhancing synchronizability by rewiring networks

According to different forms of synchronized region, complex networks are divided into type I (unbounded synchronization region) and type II (bounded synchronization region) networks. This paper presents a rewiring algorithm to enhance the synchronizability of type I and type II networks. By utilizing the algorithm for an unweighted and undirected network, a better synchronizability of network with the same number of nodes and edges can be obtained. Numerical simulations on several different network models are used to support the proposed procedure. The relationship between different topological properties of the networks and the number of rewirings are shown. It finds that the final optimized network is independent of the initial network, and becomes homogeneous. In addition the optimized networks have similar structural properties in the sense of degree, and node and edge betweenness centralities. However, they do not have similar cluster coefficients for type II networks. The research may be useful for designing more synchronizable networks and understanding the synchronization behaviour of networks.