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Dynamic weight evolution network with preferential attachment

Author

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  • Dai, Meifeng
  • Xie, Qi
  • Li, Lei

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.

Suggested Citation

  • Dai, Meifeng & Xie, Qi & Li, Lei, 2014. "Dynamic weight evolution network with preferential attachment," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 416(C), pages 149-156.
    • Handle: RePEc:eee:phsmap:v:416:y:2014:i:c:p:149-156
    DOI: 10.1016/j.physa.2014.08.049
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