Self-similarity of complex networks

Chaoming Song, Shlomo Havlin and Hernán A. Makse ()
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Chaoming Song: City College of New York
Shlomo Havlin: Bar-Ilan University
Hernán A. Makse: City College of New York

Nature, 2005, vol. 433, issue 7024, 392-395

Abstract: Complex matters ‘Scale-free’ networks, such as linked web pages, people in social groups, or cellular interaction networks show uneven connectivity distributions: there is no typical number of links per node. Many of these networks also exhibit the ‘small-world’ effect, called ‘six degrees of separation’ when applied to sociology. A new analysis of such networks, in which nodes are partitioned into boxes of different sizes, reveals that they share the surprising feature of self-similarity. In other words, these networks are constructed of fractal-like self-repeating patterns or degrees of separation. This may help explain how the scale-free property of such networks arises.

Date: 2005
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DOI: 10.1038/nature03248

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