Year: 2026
Type: preprint
Abstract: For every $n$, we construct a 2-dimensional $n$-element poset whose Hasse diagram has independence number $n\exp(-Ω(\sqrt{\log n}))$, and consequently, chromatic number $\exp(Ω(\sqrt{\log n}))$. This also yields an $n$-point planar set whose box-Delaunay graph satisfies the same bounds.
Source: arXiv (Cornell University)
Author: Tomon, István
Institution: Umeå University
Language: English
Subfield: Discrete Mathematics and Combinatorics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Funder: Vetenskapsrådet
OpenAlex ID: W7206172180