Vertex degree sums for perfect matchings in 3-uniform hypergraphs

Yan Wang, Yi Zhang

Let $n\equiv 0(\text{mod }3)$ and $H_{n,n/3}^2$ be the 3-graph of order $n$, whose vertex set is partitioned into two sets $S$ and $T$ of size $\frac{1}{3}n+1$ and $\fra…