Nearly-Regular Hypergraphs and Saturation of Berge Stars

Bethany Austhof, Sean English

Given a graph $G$, we say a $k$-uniform hypergraph $H$ on the same vertex set contains a Berge-$G$ if there exists an injection $\varphi :E(G)\to E(H)$ such that $e\subseteq \varphi (e)$ for each…