Structure of international trade hypergraphs

We study the structure of international trade hypergraph consisting triangular hyperedges representing exporter-importer-product relationship. Measuring mean hyperdegree adjacent vertices, we first find its behaviors different from those in pairwise networks and explain origin by tracing relation between degree. To interpret observed correlation properties context strategies, decompose into two components identifying one with background remnant even exponential random hypergraphs preserving given empirical sequence. The other component characterizes net reveals bias exporters low towards importers high products hyperdegree, which information is not readily accessible networks. Our demonstrates power approach real-world complex systems offers a theoretical framework.