Enhancing robustness and synchronizability of networks homogenizing their degree distribution

► We present rewiring procedure that produces networks with weak-entangled structure. ► We examine the structural properties, synchronization and robustness of the networks. ► We show that they share similar properties as entangled networks. ► Our procedure improves the synchronizability and robustness of a given network. ► The procedure exploits only the homogenization of the nodes' degree.