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

Jie Han, Lin Sun, Guanghui Wang

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