Monochromatic triangles in the max-norm plane
arXiv:2302.09972 · doi:10.1016/j.ejc.2024.103977
Abstract
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.
10 pages, 4 figures; v2 includes a few modifications based on the reviews
References in corpus (5)
- Any two-coloring of the plane contains monochromatic 3-term arithmetic progressions
- Solution to a conjecture of Schmidt and Tuller on one-dimensional packings and coverings
- Two-colorings of normed spaces without long monochromatic unit arithmetic progressions
- The chromatic number of the Minkowski plane -- the regular polygon case
- Monochromatic infinite sets in Minkowski planes