Classification of scale-free networks

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While the emergence of a power-law degree distribution in complex networks is intriguing, the degree exponent is not universal. Here we show that the betweenness centrality displays a power-law distribution with an exponent eta, which is robust, and use it to classify the scale-free networks. We have observed two universality classes with eta approximate to 2.2(1) and 2.0, respectively. Real-world networks for the former are the protein-interaction networks, the metabolic networks for eukaryotes and bacteria, and the coauthorship network, and those for the latter one are the Internet, the World Wide Web, and the metabolic networks for Archaea. Distinct features of the mass-distance relation, generic topology of geodesics, and resilience under attack of the two classes are identified. Various model networks also belong to either of the two classes, while their degree exponents are tunable.
Publisher
NATL ACAD SCIENCES
Issue Date
2002
Language
English
Article Type
Article
Keywords

SCIENTIFIC COLLABORATION NETWORKS; WORLD-WIDE-WEB; COMPLEX NETWORKS; INTERNET; CENTRALITY; ATTACK; GROWTH

Citation

PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, v.99, no.20, pp.12583 - 12588

ISSN
0027-8424
DOI
10.1073/pnas.202301299
URI
http://hdl.handle.net/10203/79308
Appears in Collection
PH-Journal Papers(저널논문)
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