Detecting rich-club ordering in complex networks
Detecting rich-club ordering in complex networks
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DOI：
10.1038/nphys209
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发表时间：
2006-02-01
期刊：
影响因子：
19.6
通讯作者：
Vespignani, A
中科院分区：
文献类型：
--
作者：
Colizza, V;Flammini, A;Vespignani, A
揭示从分子水平到大型通信基础设施规模的物理系统中出现的网络的隐藏规律和组织原则，是理解其结构和动态特性的关键问题（1 - 5）。“富人俱乐部”现象是指具有高度中心性的节点（系统的主导元素）形成紧密互联群体的趋势，它是解释计算机科学和社会科学中主导群体形成的关键特性之一（4 - 8）。在此，我们提供了解析表达式和正确的零模型，以便对富人俱乐部现象进行定量讨论。所呈现的分析能够测量富人俱乐部排序及其与来自生物、社会和技术领域的示例中网络的功能和动态的关系。
Uncovering the hidden regularities and organizational principles of networks arising in physical systems ranging from the molecular level to the scale of large communication infrastructures is the key issue in understanding their fabric and dynamical properties(1-5). The 'rich-club' phenomenon refers to the tendency of nodes with high centrality, the dominant elements of the system, to form tightly interconnected communities, and it is one of the crucial properties accounting for the formation of dominant communities in both computer and social sciences(4-8). Here, we provide the analytical expression and the correct null models that allow for a quantitative discussion of the rich-club phenomenon. The presented analysis enables the measurement of the rich-club ordering and its relation with the function and dynamics of networks in examples drawn from the biological, social and technological domains.