A spectral condition for perfect matchings in 3-partite 3-graphs

Hongliang Lu, Feihong Yuan

Let $H$ be a 3-partite 3-uniform hypergraph whose three vertex classes all have size $n$. For a vertex $v\in V(H)$, the link graph $N_H(v)$ is defined on $V(H)\setminus \{v\}$ with…