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Emergence of double power-law degree distribution by controlling the evolution of BA model

Author

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  • Qian, Jiang-Hai
  • Zhao, Song-Tao
  • Xu, Jing

Abstract

Recent empirical studies have witnessed the wide existence of double power-law distribution in complex systems. However its underlying origin remains inadequately disclosed. We show this distribution can arise from the proper control of BA model. Particularly, the control policy demands each new edge to determine the range(degree≤kc or >kc) of its target node by probability p before applying the preferential attachment. We analytically derive the degree distribution and demonstrate a critical control parameter pc so that normal and reversed double power-law degree distribution emerges for p>pc and p

Suggested Citation

  • Qian, Jiang-Hai & Zhao, Song-Tao & Xu, Jing, 2021. "Emergence of double power-law degree distribution by controlling the evolution of BA model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 562(C).
    • Handle: RePEc:eee:phsmap:v:562:y:2021:i:c:s0378437120307020
    DOI: 10.1016/j.physa.2020.125333
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