关键词: 超图应用, 图像处理, 网络分析, 推荐系统, 分布式网络

Abstract: A hypergraph is the generalization of a graph. In comparison to regular graphs, hypergraphs offer significant advantages in representing high-order features of complex relationships. As a new data structure, hypergraph is increasingly playing a crucial role in various application domains. By appropriately using hypergraphs, researchers model and solve real-world problems with higher effectiveness and efficiency. However, existing surveys of hypergraphs mainly focus on the theory and techniques of hypergraphs itself, lacking a comprehensive study about how to apply hypergraphs to real-world problems in specific scenarios. In this paper, we first introduce the fundamental concepts of hypergraphs, and then we analyze the application methods, techniques, common issues, and solutions of hypergraphs in various application scenarios. Furthermore, we propose the remaining problems in hypergraph applications and point out the directions in hypergraph application research.

Key words: hypergraph application, image processing, network analysis, recommender system, distributed network