A review of fractality and self-similarity in complex networks

Lazaros K. Gallos, Chaoming Song and Hernán A. Makse

Physica A: Statistical Mechanics and its Applications, 2007, vol. 386, issue 2, 686-691

Abstract: We review recent findings of self-similarity in complex networks. Using the box-covering technique, it was shown that many networks present a fractal behavior, which is seemingly in contrast to their small-world property. Moreover, even non-fractal networks have been shown to present a self-similar picture under renormalization of the length scale. These results have an important effect in our understanding of the evolution and behavior of such systems. A large number of network properties can now be described through a set of simple scaling exponents, in analogy with traditional fractal theory.

Keywords: Complex networks; Fractal networks; Self-similarity; Renormalization (search for similar items in EconPapers)
Date: 2007
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Citations: View citations in EconPapers (23)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:386:y:2007:i:2:p:686-691

DOI: 10.1016/j.physa.2007.07.069

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