Mobile user forecast and power-law acceleration invariance of scale-free networks

doi:10.1088/1674-1056/20/11/118902

Abstract This paper studies and predicts the number growth of China's mobile users by using the power-law regression. We find that the number growth of the mobile users follows a power law. Motivated by the data on the evolution of the mobile users, we consider scenarios of self-organization of accelerating growth networks into scale-free structures and propose a directed network model, in which the nodes grow following a power-law acceleration. The expressions for the transient and the stationary average degree distributions are obtained by using the Poisson process. This result shows that the model generates appropriate power-law connectivity distributions. Therefore, we find a power-law acceleration invariance of the scale-free networks. The numerical simulations of the models agree with the analytical results well.

Keywords: mobile user forecast power-law accelerating growth complex networks scale-free networks

Received: 18 October 2010
Revised: 30 June 2011
Accepted manuscript online:

PACS:	89.75.-k	(Complex systems)
	89.75.Hc	(Networks and genealogical trees)
	89.65.-s	(Social and economic systems)
	89.70.-a	(Information and communication theory)

Fund: Project supported by the National Natural Science Foundation of China (Grant No. 70871082) and the Shanghai Leading Academic Discipline Project, China (Grant No. S30504).

Cite this article:

Guo Jin-Li(郭进利), Guo Zhao-Hua(郭曌华), and Liu Xue-Jiao(刘雪娇) Mobile user forecast and power-law acceleration invariance of scale-free networks 2011 Chin. Phys. B 20 118902

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Mobile user forecast and power-law acceleration invariance of scale-free networks

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