In this work we introduce and analyze a new and comprehensive multilayer dataset covering a wide spectrum of international relationships between coutries. We select two cross sections of the dataset corresponding to years 2003 and 2010 with 19 layers and 112 nodes to study the structure and evolution of the network. Country centrality is measured by the multiplex PageRank (MultiRank) and the multiplex hub and authority scores (MultiHub and MultiAuth). We find that the MultiHub measure has the highest correlation to GDP per capita, with respect to the other multilayer measures and to their single layer analogues. Finally we analyze the differences in the ranking between GDP per capita and the multilayer centrality measures to evaluate them as measures of development.

中文翻译：

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国际多重网络中的国家中心

在这项工作中，我们介绍并分析了一个新的，全面的多层数据集，该数据集涵盖了国家之间广泛的国际关系。我们选择与2003年和2010年相对应的数据集的两个横截面，分别具有19个层和112个节点，以研究网络的结构和演化。国家/地区中心度是通过Multiplex PageRank（MultiRank）以及Multiplex集线器和权限评分（MultiHub和MultiAuth）来衡量的。我们发现，相对于其他多层指标及其单层类似物，MultiHub指标与人均GDP的相关性最高。最后，我们分析了人均国内生产总值和多层中央集权措施之间的排名差异，以将其评估为发展措施。