Progressions in euclidean ramsey theory
J Führer, G Tóth - European Journal of Combinatorics, 2025 - Elsevier
Conlon and Wu (2022) showed that there is a red/blue-coloring of E n that does not contain
3 red collinear points separated by unit distance and m= 1 0 50 blue collinear points …
3 red collinear points separated by unit distance and m= 1 0 50 blue collinear points …
Monochromatic triangles in the max-norm plane
A Natalchenko, A Sagdeev - European Journal of Combinatorics, 2024 - Elsevier
Monochromatic triangles in the max-norm plane - ScienceDirect Skip to main contentSkip to
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Avoiding short progressions in Euclidean Ramsey theory
We provide a general framework to construct colorings avoiding short monochromatic
arithmetic progressions in Euclidean Ramsey theory. Specifically, if $\ell_m $ denotes $ m …
arithmetic progressions in Euclidean Ramsey theory. Specifically, if $\ell_m $ denotes $ m …
Canonical theorems in geometric Ramsey theory
P Gehér, A Sagdeev, G Tóth - arXiv preprint arXiv:2404.11454, 2024 - arxiv.org
In Euclidean Ramsey Theory usually we are looking for monochromatic configurations in the
Euclidean space, whose points are colored with a fixed number of colors. In the canonical …
Euclidean space, whose points are colored with a fixed number of colors. In the canonical …
[PDF][PDF] Three-term arithmetic progressions in two-colorings of the plane
G Currier, K Moore, CH Yip - Discrete Mathematics Days …, 2024 - dmd2024.web.uah.es
We show that in any two-coloring of the plane, there exists a monochromatic congruent copy
of any arithmetic progression of length 3. This problem lies at the intersection of two …
of any arithmetic progression of length 3. This problem lies at the intersection of two …