复杂网络层级中的富人俱乐部现象
The rich-club phenomenon across complex network hierarchies
摘要：
复杂网络中所谓的富俱乐部现象的特征是，度较高的节点（枢纽节点）之间的连接比度较小的节点更好。富俱乐部现象的存在可能是几个有趣的高级网络属性的指示器，例如对集线器故障的容忍度。在这里，我们调查的存在，丰富的俱乐部现象的层次度的一些现实世界的网络。我们的模拟表明，这种现象可能会出现在一些层次结构，但不会在其他人，而且，它可能会出现和消失，因为我们跨越层次结构。这揭示了有趣的可能性的非单调行为的现象，我们的研究结果可能产生的影响进行了讨论。
英文摘要：
The so-called rich-club phenomenon in a complex network is characterized when nodes of higher degree (hubs) are better connected among themselves than are nodes with smaller degree. The presence of the rich-club phenomenon may be an indicator of several interesting high-level network properties, such as tolerance to hub failures. Here we investigate the existence of the rich-club phenomenon across the hierarchical degrees of a number of real-world networks. Our simulations reveal that the phenomenon may appear in some hierarchies but not in others and, moreover, that it may appear and disappear as we move across hierarchies. This reveals the interesting possibility of non-monotonic behavior of the phenomenon; the possible implications of our findings are discussed.
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。
