A **bipartite hypergraph** is a special type of hypergraph characterized by its two distinct sets of vertices. In a hypergraph, edges can connect any number of vertices, unlike in a standard graph where an edge connects just two vertices. In simpler terms, a bipartite hypergraph consists of: 1. **Two vertex sets**: Let's denote them as \( A \) and \( B \). All vertices in the hypergraph belong to one of these two sets.
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