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Evolution of weighted scale-free networks in empirical data

Eom, Young-Ho and Jeon, Chanil and Jeong, Hawoong and Kahng, Byungnam Evolution of weighted scale-free networks in empirical data. Physical Review E, 77. 056105. ISSN 1539-3755 (2008)

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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.

Item Type: Article
Identification Number: 10.1103/PhysRevE.77.056105
Additional Information: © 2008 American Physical Society
Uncontrolled Keywords: PACS numbers: 89.75.-k, 89.65.-s
Subjects: Q Science > QC Physics
Research Area: Computer Science and Applications
Depositing User: Ms T. Iannizzi
Date Deposited: 02 Dec 2014 15:06
Last Modified: 18 Dec 2014 13:56
URI: http://eprints.imtlucca.it/id/eprint/2382

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