Marcin Sabok

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math.CO2025

Sums, products, and exponents in two-colorings of the naturals

Ryan Alweiss, Matthew Bowen, Marcin Sabok

We prove that for any coloring of the naturals using two colors there are monochromatic sets of the form ${x, y, x y, x + i y : i \leq k}$ and ${x, y, x^{y}, x y^{i} : i \leq k}$ for any $k$ .

math.CO2024

Extension property for partial automorphisms of the $n$ -partite and semigeneric tournaments

Jan Hubička, Colin Jahel, Matěj Konečný +1

We present a proof of the extension property for partial automorphisms (EPPA) for classes of finite $n$ -partite tournaments for $n \in {2, 3, \dots, ω}$ , and for the class of finit…

Sums, products, and exponents in two-colorings of the naturals

Extension property for partial automorphisms of the n-partite and semigeneric tournaments

Extension property for partial automorphisms of the $n$ -partite and semigeneric tournaments