复杂网络中富俱乐部现象的统计意义
Statistical significance of rich-club phenomena in complex networks
摘要:
我们建议复杂网络中的富俱乐部现象应定义在自举的精神,其中采用零模型来评估的富俱乐部检测到的统计意义。该方法可以作为富俱乐部现象的一个定义,并应用于分析三个真实网络和三个模型网络。与以前报道的结果相比,结果显着改善。我们报告一个特殊的例子,表明不存在一个万能的定义富人俱乐部现象的困境。
英文摘要:
We propose that the rich-club phenomena in complex networks should be defined in the spirit of bootstrapping, in which a null model is adopted to assess the statistical significance of the rich-club detected. Our method can be served as a definition of rich-club phenomenon and is applied to analyzing three real networks and three model networks. The results improve significantly compared with previously reported results. We report a dilemma with an exceptional example, showing that there does not exist an omnipotent definition for the rich-club phenomenon.
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