网络特征从多重性中涌现
Emergence of network features from multiplexity
摘要:
许多生物和人造网络系统的特征在于同时存在组织在不同层中的不同子网络,具有性质不同类型的链接和节点。虽然在过去的几年里,理论研究已经研究了复杂网络的各种结构特征,但突出的问题是,这些特征是否表征了所有的单层,或者更确切地说,是粗粒度的结果,即从多层到聚合网络表示。在这里,我们借助真实数据来解决这个问题。我们分析了一个内在的多层真实网络的结构特性,欧洲航空运输多路复用网络中,每个商业航空公司定义一个网络层。我们将研究几个结构性措施是如何演变的层逐渐合并在一起。特别是,我们讨论了每一层的拓扑结构如何影响聚合网络中结构属性的出现。
英文摘要:
Many biological and man-made networked systems are characterized by the simultaneous presence of different sub-networks organized in separate layers, with links and nodes of qualitatively different types. While during the past few years theoretical studies have examined a variety of structural features of complex networks, the outstanding question is whether such features are characterizing all single layers, or rather emerge as a result of coarse-graining, i.e. when going from the multilayered to the aggregate network representation. Here we address this issue with the help of real data. We analyze the structural properties of an intrinsically multilayered real network, the European Air Transportation Multiplex Network in which each commercial airline defines a network layer. We examine how several structural measures evolve as layers are progressively merged together. In particular, we discuss how the topology of each layer affects the emergence of structural properties in the aggregate network.
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