复杂网络中富俱乐部序的检测
Detecting rich-club ordering in complex networks
摘要：
揭示从分子水平到大型通信基础设施规模的物理系统中产生的网络的隐藏的结构和组织原则是理解其结构和动力学性质的关键问题[1-5]。“富俱乐部”现象是指具有高中心性的节点（系统的主导元素）形成紧密互连的社区的趋势，它是计算机和社会科学中形成主导社区的关键属性之一[4-8]。在这里，我们提供的解析表达式和正确的零模型，允许的富俱乐部现象的定量讨论。所提出的分析，使测量的富俱乐部订购和它的关系，从生物，社会和技术领域的例子中得出的功能和动态的网络。
英文摘要：
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 for the understanding of 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 which 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.
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