Synchronization in weighed scale-free networks with degree-degree   correlation
  We study synchronization phenomena in scale-free networks of asymetrically coupled dynamical systems featuring degree-degree correlation in the connection wiring. We show that when the interaction is dominant from the high-degree to the low-degree or from the low-degree to the high-degree nodes, synchronization is enhanced for assortative or disassortative degree-degree correlations 
F. Sorrentino, M. di Bernardo, G. Huerta Cuellar, S. Boccaletti