Structural transitions in scale-free networks
Loading...
Access rights
© 2003 American Physical Society (APS). This is the accepted version of the following article: Szabó, Gábor & Alava, Mikko J. & Kertész, János. 2003. Structural transitions in scale-free networks. Physical Review E. Volume 67, Issue 5. 056102/1-5. ISSN 1539-3755 (printed). DOI: 10.1103/physreve.67.056102, which has been published in final form at http://journals.aps.org/pre/abstract/10.1103/PhysRevE.67.056102.
Final published version
URL
Journal Title
Journal ISSN
Volume Title
School of Science |
A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä
Unless otherwise stated, all rights belong to the author. You may download, display and print this publication for Your own personal use. Commercial use is prohibited.
Date
2003
Major/Subject
Mcode
Degree programme
Language
en
Pages
056102/1-5
Series
Physical Review E, Volume 67, Issue 5
Abstract
Real growing networks such as the World Wide Web or personal connection based networks are characterized by a high degree of clustering, in addition to the small-world property and the absence of a characteristic scale. Appropriate modifications of the (Barabási-Albert) preferential attachment network growth capture all these aspects. We present a scaling theory to describe the behavior of the generalized models and the mean-field rate equation for clustering. This is solved for a specific case with the result C(k)∼1/k for the clustering of a node of degree k. This mean-field exponent agrees with simulations, and reproduces the clustering of many real networks.Description
Keywords
power-laws, scale-free networks
Other note
Citation
Szabó, Gábor & Alava, Mikko J. & Kertész, János. 2003. Structural transitions in scale-free networks. Physical Review E. Volume 67, Issue 5. 056102/1-5. ISSN 1539-3755 (printed). DOI: 10.1103/physreve.67.056102.