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

作　　者：郭进利 郭曌华 刘雪娇 

机构地区：[1]Business School,University of Shanghai for Science and Technology [2]College of Mechanical Engineering,University of Shanghai for Science and Technology

出　　处：《Chinese Physics B》2011年第11期548-555,共8页中国物理B（英文版）

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

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.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 net-works 

分 类 号：TN929.5[电子电信—通信与信息系统]