New Centrality Measures in Networks and their Applications to the International Trade and Migration Networks

F. Aleskerov, Alina Roman, Anna Rezyapova, V. Yakuba
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Abstract

New centrality indices in networks are introduced in which parameters of a node and a group influence of nodes to a node are taken into account. The Bundle Influence and Pivotal Influence as well as Copeland in-degree indices are evaluated using the data on international trade and international migration. The influence of the countries is evaluated for four years, 2001, 2006, 2011, and 2016. The Total Influence as a linear combination of the three indices is calculated.
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网络中的新中心性测度及其在国际贸易和移民网络中的应用
引入了新的网络中心性指标,其中考虑了节点的参数和节点对节点的群体影响。利用国际贸易和国际移民数据,对“束效应”和“枢纽效应”以及Copeland程度指数进行了评价。对2001年、2006年、2011年和2016年4年的国家影响力进行了评估。将总影响作为三个指标的线性组合进行计算。
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