Dynamic weight evolution network with preferential attachment

Meifeng Dai, Qi Xie and Lei Li

Physica A: Statistical Mechanics and its Applications, 2014, vol. 416, issue C, 149-156

Abstract: 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.

Keywords: Weighted networks; Topological growth; Nonlinear dynamic (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:416:y:2014:i:c:p:149-156

DOI: 10.1016/j.physa.2014.08.049

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