Hamiltonicity in randomly perturbed hypergraphs

Jie Han, Yi Zhao

For integers $k\ge 3$ and $1\le \ell \le k-1$, we prove that for any $\alpha >0$, there exist $\epsilon >0$ and $C>0$ such that for sufficiently large $n\in (k-\ell )\mathbb{N}$, the union of a $k…