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math.CO2016★ 53 cited
All those Ramsey classes (Ramsey classes with closures and forbidden homomorphisms)
Jan Hubička, Jaroslav Nešetřil
We prove the Ramsey property for classes of ordered structures with closures and given local properties. This generalises earlier results: the Nešetřil-Rödl Theorem, the Ramsey pro…
math.CO2016
Fractal property of the graph homomorphism order
Jiří Fiala, Jan Hubička, Yangjing Long +1
We show that every interval in the homomorphism order of finite undirected graphs is either universal or a gap. Together with density and universality this "fractal" property contr…