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.
Original language | English (US) |
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Pages (from-to) | 686-691 |
Number of pages | 6 |
Journal | Physica A: Statistical Mechanics and its Applications |
Volume | 386 |
Issue number | 2 |
DOIs | |
State | Published - Dec 15 2007 |
Externally published | Yes |
Keywords
- Complex networks
- Fractal networks
- Renormalization
- Self-similarity
ASJC Scopus subject areas
- Statistics and Probability
- Condensed Matter Physics