A review of fractality and self-similarity in complex networks |
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Authors: | Lazaros K Gallos |
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Institution: | Levich Institute and Department of Physics, City College of New York, New York, NY 10031, USA |
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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. |
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Keywords: | Complex networks Fractal networks Self-similarity Renormalization |
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