2 papers
math.CO2024
Packing Density of Sets With Only Two Nonmixed Gaps
Alexander Natalchenko, Arsenii Sagdeev
For a finite set of integers such that the first few gaps between its consecutive elements equal , while the remaining gaps equal , we study dense packings of its translates…
math.CO2023
Monochromatic triangles in the max-norm plane
Alexander Natalchenko, Arsenii Sagdeev
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.