Minimum degree conditions for Hamilton $l$-cycles in $k$-uniform hypergraphs

Jie Han, Lin Sun, Guanghui Wang

We show that for $\eta >0$ and sufficiently large $n$, every 5-graph on $n$ vertices with ${\delta }_2(H)\ge (91/216+\eta )\left(\genfrac{}{}{0ex}{}{n}{3}\right)$ contains a Hamilton 2-cycle. This minimum 2-degree…