2 papers
math.CO2016
The Kelmans-Seymour conjecture IV: a proof
Dawei He, Yan Wang, Xingxing Yu
A well known theorem of Kuratowski in 1932 states that a graph is planar if, and only if, it does not contain a subdivision of or . Wagner proved in 1937 that if a g…
math.CO2016
On rainbow matchings for hypergraphs
Hongliang Lu, Xingxing Yu
For any posotive integer , let . Let be positive integers. Aharoni and Howard conjectured that if, for , $\mathcal{F}_i\subset[n]^k:= \{(a…