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math.CO2024
A logarithmic approximation of linearly ordered colourings
Johan Håstad, Björn Martinsson, Tamio-Vesa Nakajima +1
A linearly ordered (LO) -colouring of a hypergraph assigns to each vertex a colour from the set in such a way that each hyperedge has a unique maximum eleme…
math.CO2019
-Galvin families
Johan Håstad, Guillaume Lagarde, Joseph Swernofsky
The Galvin problem asks for the minimum size of a family with the property that, for any set of size , there is a set $S \in…