Study on the dynamic characteristics of BBV weighted network

In the study of complex networks, weighted networks have been applied to various fields, as such mediums can provide more realistic and comprehensive description of reality. In this paper we study BBV (Barthelemy and Vespignani) weighted model as well as its dynamic properties of complex networks, which could play an important role both in theory and practical applications. Through comprehensively theoretical derivation, we take the degree-strength correlation into account, and deduce the analytical expressions of the power-law exponent of the degree distribution. Most importantly, we carry on further studies on parameters influencing the network statistics of degree distribution and clustering coefficient. Numerical simulations show some parameters besides δ exert significant impact to the network statistics as well, which has been neglected by most scholars for long. However, conclusions in this paper fully represent the small-world characteristics and scale-free properties of BBV weighted network.