Empirical study on clique-degree distribution of networks

Wei-Ke Xiao, Jie Ren, Feng Qi, Zhi-Wei Song, Meng-Xiao Zhu, Hong-Feng Yang, Hui-Yu Jin, Bing-Hong Wang, and Tao Zhou
Phys. Rev. E 76, 037102 – Published 27 September 2007

Abstract

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.

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  • Received 21 January 2006

DOI:https://doi.org/10.1103/PhysRevE.76.037102

©2007 American Physical Society

Authors & Affiliations

Wei-Ke Xiao1,2, Jie Ren2,3,4, Feng Qi2, Zhi-Wei Song2, Meng-Xiao Zhu2, Hong-Feng Yang2, Hui-Yu Jin2, Bing-Hong Wang4, and Tao Zhou3,4,*

  • 1Center for Astrophysics, University of Science and Technology of China, Hefei 230026, China
  • 2Research Group of Complex Systems, University of Science and Technology of China, Hefei 230026, China
  • 3Department of Physics, University of Fribourg, Chemin du Muse 3, CH-1700 Fribourg, Switzerland
  • 4Department of Modern Physics and Nonlinear Science Center, University of Science and Technology of China, Hefei 230026, China

  • *zhutou@ustc.edu

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Vol. 76, Iss. 3 — September 2007

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