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A review of fractality and self-similarity in complex networks

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

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.

Suggested Citation

  • Gallos, Lazaros K. & Song, Chaoming & Makse, Hernán A., 2007. "A review of fractality and self-similarity in complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 386(2), pages 686-691.
    • Handle: RePEc:eee:phsmap:v:386:y:2007:i:2:p:686-691
    DOI: 10.1016/j.physa.2007.07.069
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