Empirical study on clique-degree distribution of networks
Xiao, Wei-KeCenter for Astrophysics, University of Science and Technology of China, Hefei, China - Research Group of Complex Systems, University of Science and Technology of China, Hefei, China
Ren, JieResearch Group of Complex Systems, University of Science and Technology of China, Hefei, China - Department of Physics, University of Fribourg, Switzerland - Department of Modern Physics and Nonlinear Science Center, University of Science and Technology of China, Hefei, China
Qi, FengResearch Group of Complex Systems, University of Science and Technology of China, Hefei, China
Song, Zhi-WeiResearch Group of Complex Systems, University of Science and Technology of China, Hefei, China
Zhu, Meng-XiaoResearch Group of Complex Systems, University of Science and Technology of China, Hefei, China
Yang, Hong-FengResearch Group of Complex Systems, University of Science and Technology of China, Hefei, China
Jin, Hui-YuResearch Group of Complex Systems, University of Science and Technology of China, Hefei, China
Wang, Bing-HongDepartment of Modern Physics and Nonlinear Science Center, University of Science and Technology of China, Hefei, China
Zhou, TaoDepartment of Physics, University of Fribourg, Switzerland - Department of Modern Physics and Nonlinear Science Center, University of Science and Technology of China, Hefei, China
Physical Review E. - 2007, vol. 76, no. 3, p. 037102
English
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.