论文标题
国际贸易超图的结构
Structure of international trade hypergraphs
论文作者
论文摘要
我们研究了国际贸易超图的结构，该贸易超图由代表出口商-Importer-rapopropuct的三角形超中期组成。测量相邻顶点的平均高度高度，我们首先发现其行为与成对网络中的行为不同，并通过追踪超级和成对程度之间的关系来解释起点。为了在贸易策略的背景下解释观察到的高度相关性能，我们通过识别一个具有背景相关残留的一个组件，即使在保留给定的经验超差序列的指数随机超图中，将相关性分解为两个组件。另一个组件是净相关性的特征，并揭示了低高度高级别的出口商对高高级别的进口商的偏见和低超差的乘积，这些信息在成对网络中不容易访问。我们的研究证明了HyperGraph方法在研究现实世界复杂系统研究中的力量，并提供了理论框架。
We study the structure of the international trade hypergraph consisting of triangular hyperedges representing the exporter-importer-product relationship. Measuring the mean hyperdegree of the adjacent vertices, we first find its behaviors different from those in the pairwise networks and explain the origin by tracing the relation between the hyperdegree and the pairwise degree. To interpret the observed hyperdegree correlation properties in the context of trade strategies, we decompose the correlation into two components by identifying one with the background correlation remnant even in the exponential random hypergraphs preserving the given empirical hyperdegree sequence. The other component characterizes the net correlation and reveals the bias of the exporters of low hyperdegree towards the importers of high hyperdegree and the products of low hyperdegree, which information is not readily accessible in the pairwise networks. Our study demonstrates the power of the hypergraph approach in the study of real-world complex systems and offers a theoretical framework.
