A threshold result for loose Hamiltonicity in random regular uniform hypergraphs

Daniel Altman, Catherine Greenhill, Mikhail Isaev +1

Let $\mathcal{G}(n,r,s)$ denote a uniformly random $r$-regular $s$-uniform hypergraph on $n$ vertices, where $s$ is a fixed constant and $r=r(n)$ may grow with $n$. An $\ell$-overl…