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math.CO2023
Colouring versus density in integers and Hales-Jewett cubes
Christian Reiher, Vojtěch Rödl, Marcelo Sales
We construct for every integer and every real a set of integers which, when coloured with finitely many colours, contains a monochrom…
math.CO2023
The girth Ramsey theorem
Christian Reiher, Vojtěch Rödl
Given a hypergraph and a number of colours , there exists a hypergraph of the same girth satisfying . Moreover, for every linear hypergraph t…