Minimum codegree threshold for $C_6^3$-factors in $3$-uniform Hypergraphs

Wei Gao, Jie Han

Let $C_6^3$ be the 3-uniform hypergraph on $\{1,\dots ,6\}$ with edges $123,345,561$, which can be seen as the triangle in 3-uniform hypergraphs. For sufficiently large $n$ divisi…