Searching for Optimal Network Topology with Best Possible Synchronizability

A large number of real-world complex networks or their subnetworks possess excellent dynamical properties such as high dynamic synchronizability, optimal controllability, strong resistance to attacks, fast information transmission capability, and natural emergence of cooperation in evolutionary games, etc., but existing network models are unable to well represent these intrinsic features and ubiquitous phenomena. this paper examines an optimal homogeneous network model which can well describe at least one of such optimal dynamical behaviors-the best possible synchronizability.