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math.CO2021
Co-degree threshold for rainbow perfect matchings in uniform hypergraphs
Hongliang Lu, Yan Wang, Xingxing Yu
Let and be two integers, with , , and sufficiently large. We determine the -degree threshold for the existence of a rainbow perfect ma…
math.CO2021
Improved bound for Hadwiger's conjecture
Yan Wang
Hadwiger conjectured in 1943 that for every integer , every graph with no minor is -colorable. Kostochka, and independently Thomason, proved every graph with…
math.CO2021
Balanced subdivisions of a large clique in graphs with high average degree
Yan Wang
In 1984, Thomassen conjectured that for every constant , there exists such that every graph with average degree at least contains a balanced subdivision o…
math.CO2021★ 1 cited
Rainbow perfect matchings for 4-uniform hypergraphs
Hongliang Lu, Yan Wang, Xingxing Yu
Let be a sufficiently large integer with and let where . We show that if each vertex of is contained in more…