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Scale-free property of local-world networks and their community structures

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Title: Scale-free property of local-world networks and their community structures
Authors: Furuya, Shuhei Browse this author
Yakubo, Kousuke Browse this author
Keywords: Complex networks
Scale-free networks
Local world
Community structure
Issue Date: 15-Dec-2010
Publisher: Elsevier B.V.
Journal Title: Physica A : Statistical Mechanics and its Applications
Volume: 389
Issue: 24
Start Page: 5878
End Page: 5886
Publisher DOI: 10.1016/j.physa.2010.09.009
Abstract: The scale-free property and community structures of complex networks formed by local events have been studied theoretically, numerically, and empirically. We showed analytically and numerically that the degree distribution function P(k) of the local-world evolving network exhibits a crossover from an exponential to power-law form by increasing the local-world size M. For M much larger than the crossover local-world size Mco, the distribution function P(k) has a power-law form for any degree k(>> 1). Below Mco, however, P(k) obeys a power law for 1 << k << kco and decays exponentially for k >> kco. The crossover size Mco and the crossover degree kco have been also elucidated. In addition, we constructed the drug prescription network (DPN) as a real local-world network, in which the local-world subsets are definitely specified, to reveal how the local-world nature affects properties of real-world networks. We found that the community structure of the DPN strongly correlates with the local worlds.
Type: article (author version)
Appears in Collections:工学院・工学研究院 (Graduate School of Engineering / Faculty of Engineering) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)

Submitter: 古谷 修平

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