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Chinese Physics, 2004, Vol. 13(3): 273-278    DOI: 10.1088/1009-1963/13/3/001
GENERAL   Next  

Pair correlations in scale-free networks

Huang Zhuang-Xiong (黄壮雄), Wang Xin-Ran (王欣然), Zhu Han (朱涵)
Department of Physics, Nanjing University, Nanjing 210093, China
Abstract  Correlation between nodes is found to be a common and important property in many complex networks. Here we investigate degree correlations of the Barabasi-Albert (BA) scale-free model with both analytical results and simulations, and find two neighbouring regions, a disassortative one for low degrees and a neutral one for high degrees. The average degree of the neighbours of a randomly picked node is expected to diverge in the limit of infinite network size. As a generalization of the concept of correlation, we also study the correlations of other scalar properties, including age and clustering coefficient. Finally we propose a correlation measurement in bipartite networks.
Keywords:  networks      stochastic processes      complex systems      statistical mechanics  
Received:  15 April 2003      Revised:  16 June 2003      Accepted manuscript online: 
PACS:  89.75.Hc (Networks and genealogical trees)  
  02.50.Ey (Stochastic processes)  
  05.20.-y (Classical statistical mechanics)  
Fund: Project supported by the National Natural Science Foundation for Distinguished Young Scientists of China (Grant No 60225014).

Cite this article: 

Huang Zhuang-Xiong (黄壮雄), Wang Xin-Ran (王欣然), Zhu Han (朱涵) Pair correlations in scale-free networks 2004 Chinese Physics 13 273

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