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Multiple scaling law in networks with dynamic spatial constraint

Author

Listed:
  • Qian, Jiang-Hai
  • Liao, Qi-Jia
  • Xu, Jing
  • Chang, Han-Yun
  • Han, Ding-Ding
  • Ma, Yu-Gang

Abstract

We study a network model where the spatial constraint evolves with the network growth and demonstrate that the dynamic constraint can generally cause a non-stationary multiple scaling law in degree distribution. In specific, we show that the different power-law segments emerge successively during the network evolution, from a single power law at the beginning to a double one and to more scaling laws due to the particular model setting. Our findings indicate a plausible geometric origin of the double power-law distribution and predict the non-stationary nature accompanied by its emergence, both of which are supported by our empirical study on the Chinese airline network.

Suggested Citation

  • Qian, Jiang-Hai & Liao, Qi-Jia & Xu, Jing & Chang, Han-Yun & Han, Ding-Ding & Ma, Yu-Gang, 2023. "Multiple scaling law in networks with dynamic spatial constraint," Chaos, Solitons & Fractals, Elsevier, vol. 169(C).
    • Handle: RePEc:eee:chsofr:v:169:y:2023:i:c:s0960077923002011
    DOI: 10.1016/j.chaos.2023.113300
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