富俱乐部序与并元效应：两个相互关联的现象
Rich-Club Ordering and the Dyadic Effect: Two Interrelated Phenomena
摘要：
富俱乐部序和并元效应是在复杂网络中观察到的两种现象，这些复杂网络基于由特定节点组成的某些子结构的存在。富俱乐部排序代表了高度连接的重要元素与其他中心元素形成紧密社区的趋势。二元效应表示具有共同属性的节点之间的相互联系比预期的要多得多。在这项研究中，我们考虑这两种现象之间的相互关系，这两种现象到目前为止一直被单独研究。我们的贡献与一个新的公式的富国俱乐部措施的二元效应。此外，我们介绍了一些措施相关的分析的并矢效应，这是有用的，在确认复杂网络中的丰富的俱乐部的存在和相关性。此外，某些计算经验表明，引入的量对于不同类别的真实网络是有用的。
英文摘要：
Rich-club ordering and the dyadic effect are two phenomena observed in complex networks that are based on the presence of certain substructures composed of specific nodes. Rich-club ordering represents the tendency of highly connected and important elements to form tight communities with other central elements. The dyadic effect denotes the tendency of nodes that share a common property to be much more interconnected than expected. In this study, we consider the interrelation between these two phenomena, which until now have always been studied separately. We contribute with a new formulation of the rich-club measures in terms of the dyadic effect. Moreover, we introduce certain measures related to the analysis of the dyadic effect, which are useful in confirming the presence and relevance of rich-clubs in complex networks. In addition, certain computational experiences show the usefulness of the introduced quantities with regard to different classes of real networks.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
