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math.CO2020
Big Ramsey degrees of 3-uniform hypergraphs are finite
Martin Balko, David Chodounský, Jan Hubička +2
We prove that the universal homogeneous 3-uniform hypergraph has finite big Ramsey degrees. This is the first case where big Ramsey degrees are known to be finite for structures in…
math.CO2020
Holes and islands in random point sets
Martin Balko, Manfred Scheucher, Pavel Valtr
For , let be a set of points in in general position. A set of points from is a -island in if the convex hull $\mathrm{conv}(I)…