论文标题
聚类系数作为定向加权多层网络中复杂相互作用的度量
Clustering coefficients as measures of the complex interactions in a directed weighted multilayer network
论文作者
论文摘要
在本文中，我们为加权和有向多层网络的聚类系数提供了新颖的定义。我们在多层理论环境中扩展了文献中针对加权的有向单流网络提出的聚类系数。我们量化了一个节点在关注单个节点，单层或整个系统上的选择性结构中的深度。系数传达了多层网络复杂拓扑固有的几个特征。我们测试了它们的有效性，将它们应用于特别复杂的结构，例如国际贸易网络。贸易数据集成了不同的方面，可以通过有指示和加权的多层网络来描述它们，其中每一层代表给定部门之间的国家之间的进出口关系。拟议的系数在描述贸易网络的相互关系时找到了成功的应用，从而使国家和部门的影响分开，并共同考虑它们之间的相互作用。
In this paper, we provide novel definitions of clustering coefficient for weighted and directed multilayer networks. We extend in the multilayer theoretical context the clustering coefficients proposed in the literature for weighted directed monoplex networks. We quantify how deeply a node is involved in a choesive structure focusing on a single node, on a single layer or on the entire system. The coefficients convey several characteristics inherent to the complex topology of the multilayer network. We test their effectiveness applying them to a particularly complex structure such as the international trade network. The trade data integrate different aspects and they can be described by a directed and weighted multilayer network, where each layer represents import and export relationships between countries for a given sector. The proposed coefficients find successful application in describing the interrelations of the trade network, allowing to disentangle the effects of countries and sectors and jointly consider the interactions between them.
