Multiple scaling law in networks with dynamic spatial constraint

作者：Qian, Jiang-Hai^*; Liao, Qi-Jia; Xu, Jing; Chang, Han-Yun; Han, Ding-Ding^*; Ma, Yu-Gang^*

来源：Chaos, Solitons and Fractals, 2023, 169: 113300.

DOI：10.1016/j.chaos.2023.113300

• Scaling law
• Double power law
• Spatial networks
• Spatial constraint
• Airline network

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.

• 单位
  复旦大学