Evolution of weighted scale-free networks in empirical data

被引:23
|
作者
Eom, Y. -H. [1 ]
Jeon, C. [1 ]
Jeong, H. [1 ]
Kahng, B. [2 ,3 ]
机构
[1] Korea Adv Inst Sci & Technol, Dept Phys, Taejon 305701, South Korea
[2] Seoul Natl Univ, Dept Phys & Astron, Seoul 151747, South Korea
[3] Seoul Natl Univ, Ctr Theoret Phys, Seoul 151747, South Korea
来源
PHYSICAL REVIEW E | 2008年 / 77卷 / 05期
关键词
D O I
10.1103/PhysRevE.77.056105
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
Weighted scale-free networks exhibit two types of degree-strength relationship: linear and nonlinear relationships between them. To understand the mechanism underlying such empirical relationships, theoretical evolution models for weighted scale-free networks have been introduced for each case. However, those models have not yet been tested with empirical data. In this study, we collect temporal records of several online bulletin board systems and a movie actor network. We measure the growth rates of degree and strength of each vertex and weight of each edge within the framework of preferential attachment (PA). We also measure the probability of creating new edges between unconnected pairs of vertices. Then, based on the measured rates, linear and nonlinear growth models are constructed. We find that indeed the dynamics of creating new edges and adding weight to existing edges in a nonlocal manner is essential to reproduce the nonlinear degree-strength relationship. We also find that the degree-driven PA rule is more appropriate to real systems rather than the strength-driven one used for the linear model.
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页数:7
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