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Hypergraphs are generalizations of graphs, where edges can be made of more than two vertices.
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Known result about existence of $n$-vertex $k$-uniform $r$-hypergraphs?
Here a hypergraph consists of a vertex set $V$ and a hyperedge set $\mathcal{E}$, which is a family of subsets of $V$, and '$n$-vertex' means $|V|=n$, and '$k$-unform' means each set in $\mathcal{E}$ is …