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math.CO2023★ 2 cited
Ramsey theorem for trees with successor operation
Martin Balko, David Chodounský, Natasha Dobrinen +4
We prove a general Ramsey theorem for trees with a successor operation. This theorem is a common generalization of the Carlson-Simpson Theorem and the Milliken Tree Theorem for reg…
math.CO2021
Big Ramsey degrees of the generic partial order
Martin Balko, David Chodounský, Natasha Dobrinen +4
As a result of 33 intercontinental Zoom calls, we characterise big Ramsey degrees of the generic partial order in a similar way as Devlin characterised big Ramsey degrees of the ge…
math.CO2019★ 3 cited
Big Ramsey degrees of 3-uniform hypergraphs
Martin Balko, David Chodounský, Jan Hubička +2
Given a countably infinite hypergraph and a finite hypergraph , the big Ramsey degree of in is the least number such that, fo…