A difference equation approach to statistical mechanics of complex networks

被引:0
|
作者
Jin-li Guo
机构
[1] University of Shanghai for Science and Technology,Business School
来源
Applied Mathematics and Mechanics | 2009年 / 30卷
关键词
complex network; degree distribution; scale-free network; N94; 62H12; 91D30; 90B18;
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中图分类号
学科分类号
摘要
In this paper, we propose a difference equation approach to the estimation of the degree distributions in growing networks after having analyzed the disadvantages of some existing approaches. This approach can avoid logic conflicts caused by the continuum of discrete problems, and does not need the existence assumption of the stationary degree distribution in the network analysis. Using this approach, we obtain a degree distribution formula of the Poisson growth and preferential attachment network. It is rigorously shown that this network is scale-free based on the Poisson process theory and properties of Γ-distribution.
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页码:1063 / 1068
页数:5
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