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20182026
most citedAny two-coloring of the plane contains monochromatic 3-term arithmetic progressions

6 citations · 8 across the 7 of their papers we have counts for

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Showing 2024 · math.COShow all

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math.CO2024

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…