Matchings in hypergraphs via Ore-degree conditions

József Balogh, Cory Palmer, Ghaffar Raeisi

Let $\mathcal{H}\subseteq \left(\genfrac{}{}{0ex}{}{[n]}{r}\right)$ be an $r$-uniform hypergraph on vertex set $[n]=\{1,2,\dots ,n\}$. For an $r$-set of vertices $S\subseteq [n]$, the \emph{degree} of $…