Lower bound on the Voronoi diagram of lines in ℝᵈ - Inria - Institut national de recherche en sciences et technologies du numérique
Pré-Publication, Document De Travail Année : 2021

Lower bound on the Voronoi diagram of lines in ℝᵈ

Marc Glisse

Résumé

This note gives a lower bound of $\Omega(n^{\lceil 2d/3\rceil})$ on the maximal complexity of the Euclidean Voronoi diagram of $n$ non-intersecting lines in $\mathbb{R}^d$ for $d>2$.

Dates et versions

hal-03491732 , version 1 (17-12-2021)

Identifiants

Citer

Marc Glisse. Lower bound on the Voronoi diagram of lines in ℝᵈ. 2021. ⟨hal-03491732⟩
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