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arXiv · 2609.01439

Box-Delaunay graphs of large chromatic number

István Tomon
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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.

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István Tomon. 2026-09-01. Box-Delaunay graphs of large chromatic number. https://arxiv.org/abs/2609.01439

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