What is Hypergraph?

A hypergraph is a generalization of a graph in which an edge can connect any number of vertices, not just two. In contrast to ordinary graphs where edges connect exactly two nodes, hypergraphs use hyperedges that can connect an arbitrary number of nodes. They are used to model relationships that involve more than two entities, which arise in various fields like data mining, social networks, bioinformatics, and database systems. Hypergraphs can be used, for example, to model co-authorship of scientific papers (where a hyperedge connects all authors of the same paper) or to represent complex relationships in knowledge representation.