Dynamic weight evolution network with preferential attachment

作者：Dai, Meifeng^*; Xie, Qi; Li, Lei

来源：Physica A: Statistical Mechanics and Its Applications , 2014, 416: 149-156.

DOI：10.1016/j.physa.2014.08.049

• Weighted networks
• Topological growth
• Nonlinear dynamic

A dynamic weight evolution network with preferential attachment is introduced. The network includes two significant characteristics. (i) Topological growth: triggered by newly added node with M links at each time step, each new edge carries an initial weight growing nonlinearly with time. (ii) Weight dynamics: the weight between two existing nodes experiences increasing or decreasing in a nonlinear way. By using continuum theory and mean-field method, we study the strength, the degree, the weight and their distributions. We find that the distributions exhibit a power-law feature. In particular, the relationship between the degree and the strength is nonlinear, and the power-law exponents of the three are the same. All the theoretical predictions are successfully contrasted with numerical simulations.

• 出版日期2014-12-15
• 单位江苏大学