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math.CO2020
Rainbow matchings for 3-uniform hypergraphs
Hongliang Lu, Xingxing Yu, Xiaofan Yuan
Kühn, Osthus, and Treglown and, independently, Khan proved that if is a -uniform hypergraph with vertices such that and large, and $δ_1(H)>{n-1\choose…
math.CO2020
4-Separations in Hajós Graphs
Qiqin Xie, Shijie Xie, Xiaofan Yuan +1
As a natural extension of the Four Color Theorem, Hajós conjectured that graphs containing no -subdivision are 4-colorable. Any possible counterexample to this conjecture with…