Rich-cores in networks.
Rich-cores in networks.
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DOI：
10.1371/journal.pone.0119678
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发表时间：
2015
期刊：
影响因子：
3.7
通讯作者：
Mondragón RJ
中科院分区：
文献类型：
--
作者：
Ma A;Mondragón RJ
核心由一组中心和密集连接的节点组成，这些节点控制着网络的整体行为。它被认为是复杂网络中的关键中尺度结构之一。分析这种中尺度结构目前依赖于有限数量的方法，这些方法通常很复杂，依赖于参数或需要零模型。因此，在处理非常大的网络以及需要主观调整参数时，可能会出现可伸缩性问题。富俱乐部的概念描述了节点，它们本质上是网络的中心，因为它们在结构和功能属性中起着主导作用。富人俱乐部的定义自然强调高节点，并将网络划分为两个子群体。在这里，我们开发了一种方法，通过理论耦合富俱乐部的基本原理与随机步行者的逃逸时间来表征网络中的富核心。该方法快速，可扩展到大型网络，完全无参数。特别是，我们发现世界贸易和秀丽隐杆线虫网络的核心进化分别对应于对历史事件的响应和它们物理发展的关键阶段。
A core comprises of a group of central and densely connected nodes which governs the overall behaviour of a network. It is recognised as one of the key meso-scale structures in complex networks. Profiling this meso-scale structure currently relies on a limited number of methods which are often complex and parameter dependent or require a null model. As a result, scalability issues are likely to arise when dealing with very large networks together with the need for subjective adjustment of parameters. The notion of a rich-club describes nodes which are essentially the hub of a network, as they play a dominating role in structural and functional properties. The definition of a rich-club naturally emphasises high degree nodes and divides a network into two subgroups. Here, we develop a method to characterise a rich-core in networks by theoretically coupling the underlying principle of a rich-club with the escape time of a random walker. The method is fast, scalable to large networks and completely parameter free. In particular, we show that the evolution of the core in World Trade and C. elegans networks correspond to responses to historical events and key stages in their physical development, respectively.
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