2 papers
math.CO2025
Vertex degree sums for rainbow matchings in 3-uniform hypergraphs
Haorui Liu, Mei Lu, Yan Wang +1
Let be sufficiently large. Zhang, Zhao and Lu proved that if is a 3-uniform hypergraph with vertices and no isolated vertices, and if $deg(u)+deg(v) > \…
math.CO2025
Rainbow perfect matchings in 3-partite 3-uniform hypergraphs
Hongliang Lu, Yan Wang
Let be nonnegative integers such that and . Let \[δ(n,r,s)=\left\{\begin{array}{ll} n^2-(n-r)^2 &\text{if}\ s=1 , \\[5pt] n^2-(n-r+1)(n-r-1)…