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

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

中国物理B ›› 2011, Vol. 20 ›› Issue (11): 118902-118902.doi: 10.1088/1674-1056/20/11/118902

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

郭进利¹, 刘雪娇¹, 郭曌华²

(1)Business School, University of Shanghai for Science and Technology, Shanghai 200093, China; (2)Business School, University of Shanghai for Science and Technology, Shanghai 200093, China; College of Mechanical Engineering, University of Shanghai for Science and Technology, Shanghai 200093, China

收稿日期:2010-10-18 修回日期:2011-06-30 出版日期:2011-11-15 发布日期:2011-11-15
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 70871082) and the Shanghai Leading Academic Discipline Project, China (Grant No. S30504).

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

Guo Jin-Li(郭进利)^a)†, Guo Zhao-Hua(郭曌华)^a)b), and Liu Xue-Jiao(刘雪娇)^a)

^a Business School, University of Shanghai for Science and Technology, Shanghai 200093, China; ^b College of Mechanical Engineering, University of Shanghai for Science and Technology, Shanghai 200093, China

Received:2010-10-18 Revised:2011-06-30 Online:2011-11-15 Published:2011-11-15
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 70871082) and the Shanghai Leading Academic Discipline Project, China (Grant No. S30504).

摘要/Abstract

摘要： 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.

关键词: mobile user forecast, power-law accelerating growth, complex networks, scale-free networks

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.

Key words: mobile user forecast, power-law accelerating growth, complex networks, scale-free networks

中图分类号: (Complex systems)

89.75.-k

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

郭进利, 郭曌华, 刘雪娇. Mobile user forecast and power-law acceleration invariance of scale-free networks[J]. 中国物理B, 2011, 20(11): 118902-118902.

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[J]. Chin. Phys. B, 2011, 20(11): 118902-118902.

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

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

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