Monochromatic triangles in the max-norm plane
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
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| _version_ | 1866916309967568896 |
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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 |