Perfect matching in high-degree hypergraphs

Perfect matching in high-degree hypergraphs is an extension of the concept of matching from standard graphs to hypergraphs, which are generalizations where edges can connect more than two vertices. Specifically, a hypergraph \( H \) consists of a set of vertices \( V \) and a set of edges \( E \), where each edge \( e \in E \) is a subset of \( V \) with more than two vertices.