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Avoiding short progressions in Euclidean Ramsey theory
Gabriel Currier, Kenneth Moore, Chi Hoi Yip
We provide a general framework to construct colorings avoiding short monochromatic arithmetic progressions in Euclidean Ramsey theory. Specifically, if denotes colline…
math.CO2024★ 6 cited
Any two-coloring of the plane contains monochromatic 3-term arithmetic progressions
Gabriel Currier, Kenneth Moore, Chi Hoi Yip
A conjecture of Erdős, Graham, Montgomery, Rothschild, Spencer and Straus states that, with the exception of equilateral triangles, any two-coloring of the plane will have a monoch…