A General BBV Model with High Clustering Scale-Free Networks

Abstract

A weighted evolving model of scale-free network is proposed. Our model has been inspired by the weighted network model proposed by Alain Barrat et al. (BBV for shot), which consider the emergences of new links according to Triad Formation and strength preferential selection mechanism. Interactions more easily occur between neighbors with highstrength in our model. The effects of Triad Formation on the structure of our evolving scale-free model were investigated. The evolution of degree, strength, weighted exhibit the powerlaw distributions. Highly correlated with the degree, the average strength displays scale-free property in our model. The average clustering coefficient exhibits a power-law decay as a function of degree of node. Triad Formation mechanism can distinctly enhance the clustering coefficient of network.

Effect of complex network structure on synchronizability

“…We introduce a model of weighted scale-free networks [22][23]. Topology and weights of links of the network is evolving as time goes on.…”

“…Actually, such interactions also exist between old nodes [19,20]. Moreover, such interactions more easily occur between neighbors, so-called Triad Formation [21][22][23]. In our model, a new link is constructed according to Triad Formation or Random Selection among old nodes.…”