title: Empirical study on clique-degree distribution of networks.
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.
authors.affiliation: Center for Astrophysics, University of Science and Technology of China, Hefei 230026, China.
authors.forename: Wei-Ke
authors.initials: WK
authors.lastname: Xiao
authors.forename: Jie
authors.initials: J
authors.lastname: Ren
authors.forename: Feng
authors.initials: F
authors.lastname: Qi
authors.forename: Zhi-Wei
authors.initials: ZW
authors.lastname: Song
authors.forename: Meng-Xiao
authors.initials: MX
authors.lastname: Zhu
authors.forename: Hong-Feng
authors.initials: HF
authors.lastname: Yang
authors.forename: Hui-Yu
authors.initials: HY
authors.lastname: Jin
authors.forename: Bing-Hong
authors.initials: BH
authors.lastname: Wang
authors.forename: Tao
authors.initials: T
authors.lastname: Zhou