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math.CO2024
Sharp exponents for bipartite Erdős-Rado numbers
Dániel Dobák, Eion Mulrenin
The Erdős-Rado canonization theorem generalizes Ramsey's theorem to edge-colorings with an unbounded number of colors, in the sense that for sufficiently large, any edg…
math.CO2024
Color avoidance for monotone paths
Eion Mulrenin, Cosmin Pohoata, Dmitrii Zakharov
In 2014, Moshkovitz and Shapira determined the tower height for hypergraph Ramsey numbers of tight monotone paths. We address the color-avoiding version of this problem in which on…