Vertex degree sums for rainbow matchings in 3-uniform hypergraphs

Haorui Liu, Mei Lu, Yan Wang +1

Let $n\in 3\mathbb{Z}$ be sufficiently large. Zhang, Zhao and Lu proved that if $H$ is a 3-uniform hypergraph with $n$ vertices and no isolated vertices, and if $deg(u)+deg(v) > \…