Topological transition features and synchronizability of a weighted hybrid preferential network

In this work, we propose a weighted hybrid preferential network model by introducing a hybrid preferential attachment mechanism to a weighted network model proposed by Barrat, Barthelemy and Vespignani [Phys. Rev. E 70 (2004) 066149]. The new model is called hybrid preferential BBV (HP-BBV) model. Topological properties and synchronizability of the HP-BBV model are investigated. We find that as the hybrid ratio of determinate to random preferential attachment increases, the average clustering coefficient increases, the average path length and the assortative coefficient decrease; the synchronizability of Type I HP-BBV network is enhanced, but the synchronizability of Type II HP-BBV network is weakened.