Monochromatic triangles in the max-norm plane

Fuente: arXiv
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Autores principales: Natalchenko, Alexander, Sagdeev, Arsenii
Formato: Preprint
Publicado: 2023
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author Natalchenko, Alexander
Sagdeev, Arsenii
author_facet Natalchenko, Alexander
Sagdeev, Arsenii
contents For all non-degenerate triangles T, we determine the minimum number of colors needed to color the plane such that no max-norm isometric copy of T is monochromatic.
format Preprint
id arxiv_https___arxiv_org_abs_2302_09972
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Monochromatic triangles in the max-norm plane
Natalchenko, Alexander
Sagdeev, Arsenii
Combinatorics
Metric Geometry
05D10 (Primary) 52C10, 51F99 (Secondary)
For all non-degenerate triangles T, we determine the minimum number of colors needed to color the plane such that no max-norm isometric copy of T is monochromatic.
title Monochromatic triangles in the max-norm plane
topic Combinatorics
Metric Geometry
05D10 (Primary) 52C10, 51F99 (Secondary)
url https://arxiv.org/abs/2302.09972