Pair correlations in scale-free networks |
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| Authors: | Huang Zhuang-Xiong Wang Xin-Ran Zhu Han |
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| Affiliation: | Department of Physics, Nanjing University, Nanjing 210093, China |
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| 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. |
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| Keywords: | networks stochastic processes complex systems statistical mechanics |
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