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Empirical study on clique-degree distribution of networks

The community structure and motif-modular-network hierarchy are of great importance for understanding the relationship between structures and functions. We investigate the distribution of clique degrees, which are an extension of degree and can be used to measure the density of cliques in networks....

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Bibliographic Details
Published in:Physical review. E, Statistical, nonlinear, and soft matter physics Statistical, nonlinear, and soft matter physics, 2007-09, Vol.76 (3 Pt 2), p.037102-037102, Article 037102
Main Authors: Xiao, Wei-Ke, Ren, Jie, Qi, Feng, Song, Zhi-Wei, Zhu, Meng-Xiao, Yang, Hong-Feng, Jin, Hui-Yu, Wang, Bing-Hong, Zhou, Tao
Format: Article
Language:English
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Summary:The community structure and motif-modular-network hierarchy are of great importance for understanding the relationship between structures and functions. We investigate the distribution of clique degrees, which are an extension of degree and can be used to measure the density of cliques in networks. Empirical studies indicate the extensive existence of power-law clique-degree distributions in various real networks, and the power-law exponent decreases with an increase of clique size.
ISSN:1539-3755
1550-2376
DOI:10.1103/PhysRevE.76.037102