Multiple scaling law in networks with dynamic spatial constraint

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

Chaos, Solitons & Fractals, 2023, vol. 169, issue C

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.

Keywords: Scaling law; Double power law; Spatial networks; Spatial constraint; Airline network (search for similar items in EconPapers)
Date: 2023
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:169:y:2023:i:c:s0960077923002011

DOI: 10.1016/j.chaos.2023.113300

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