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Article Dans Une Revue Physical Review E : Statistical, Nonlinear, and Soft Matter Physics Année : 2009

Renormalization flows in complex networks

Résumé

Complex networks have acquired a great popularity in recent years, since the graph representation of many natural, social and technological systems is often very helpful to characterize and model their phenomenology. Additionally, the mathematical tools of statistical physics have proven to be particularly suitable for studying and understanding complex networks. Nevertheless, an important obstacle to this theoretical approach is still represented by the difficulties to draw parallelisms between network science and more traditional aspects of statistical physics. In this paper, we explore the relation between complex networks and a well known topic of statistical physics: renormalization. A general method to analyze renormalization flows of complex networks is introduced. The method can be applied to study any suitable renormalization transformation. Finite-size scaling can be performed on computer-generated networks in order to classify them in universality classes. We also present applications of the method on real networks.

Dates et versions

hal-00339546 , version 1 (18-11-2008)

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Citer

Filippo Radicchi, Alain Barrat, Santo Fortunato, Jose J. Ramasco. Renormalization flows in complex networks. Physical Review E : Statistical, Nonlinear, and Soft Matter Physics, 2009, 79, pp.026104. ⟨10.1103/PhysRevE.79.026104⟩. ⟨hal-00339546⟩
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