On synchronizability of weighted scale-free networks considering triangle formation

A weighted evolving model of scale-free network is proposed. Our model has been inspired by the weighted network model proposed by Alain Barrat, which consider the emergences of new links according to triangle formation and strength preferential selection mechanism. Interactions more easily occur between neighbors with high-strength in our model. Numerical calculations show that our model possesses the same characteristics as the power-law degree, weight, strength distribution, but with the high clustering at the same time. The effect of triangle formation on synchronizability of networks is investigated. The Triangle Formation mechanism can increase the synchronizability of Type I network, however it can decrease the synchronizability of Type II network.