Large $Y_{k,b}$-tilings and Hamilton $\ell$-cycles in $k$-uniform hypergraphs

Luyining Gan, Jie Han, Lin Sun +1

Let $Y_{3,2}$ be the $3$-uniform hypergraph with two edges intersecting in two vertices. Our main result is that any $n$-vertex 3-uniform hypergraph with at least $\binom{n}{3} - \…