Volume 142, Number 3, May 2023
|Number of page(s)
|Statistical physics and networks
|12 May 2023
Double power-law distribution in spatial network induced by cost constraints
1 College of Mathematics and Physics, Shanghai University of Electric Power - Shanghai 200090, China
2 Engineering Research Center of Software/Hardware Co-design Technology and Application, Ministry of Education (East China Normal University) - Shanghai 200062, China
3 School of Information Science and Technology, Fudan University - Shanghai 200433, China
4 Shanghai Artificial Intelligence Laboratory - Shanghai 200232, China
Received: 7 December 2022
Accepted: 20 April 2023
We investigate the scaling laws of the degree distribution in an evolving spatial network where the long-range links of a node are subject to a cost constraint. The constraint can cause a discontinuous reduction in the length of the links to be attached to the node once the node reaches some critical degree kc. We show that this effect can result in an abrupt change in the attachment probability and consequently induces a double power-law degree distribution. We derive the distribution analytically for the homogeneous constraint and demonstrate a consistent result for the heterogeneous one. Our model finds a robust connection between the double power law and the spatial constraint and offers a plausible explanation of the common occurrence of the distribution in airline networks.
© 2023 EPLA
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