30 citations · 90 across the 27 of their papers we have counts for
4 papers · 1 filter
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…
On ordered Ramsey numbers of matchings versus triangles
Martin Balko, Marian Poljak
For graphs and with linearly ordered vertex sets, the \ordered Ramsey number is the smallest positive integer such that any red-blue coloring of the…
Characterisation of the 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. This is an infinitary extension of the well known fact that finite p…
On Helly numbers of exponential lattices
Gergely Ambrus, Martin Balko, Nóra Frankl +2
Given a set , define the \emph{Helly number of }, denoted by , as the smallest positive integer , if it exists, for which the following statem…