Drawing $K_n$ in Three Dimensions with One Bend per Edge, revisited - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Preprints, Working Papers, ... Year : 2023

Drawing $K_n$ in Three Dimensions with One Bend per Edge, revisited

Abstract

We present a drawing of $K_n$ in three dimensions in which vertices are placed at integer grid points and edges are drawn crossing-free with at most one bend per edge; the bend points are also placed at integer grid points. The drawing is determined by an incremental algorithm and the observed behavior of the algorithm produces an output of volume close to quadratic.
Fichier principal
Vignette du fichier
one-bend.pdf (1.65 Mo) Télécharger le fichier
Vignette du fichier
vignette.png (86.4 Ko) Télécharger le fichier
Origin : Files produced by the author(s)
Format : Figure, Image

Dates and versions

hal-04182069 , version 1 (16-08-2023)

Licence

Attribution

Identifiers

  • HAL Id : hal-04182069 , version 1

Cite

Olivier Devillers, Sylvain Lazard. Drawing $K_n$ in Three Dimensions with One Bend per Edge, revisited. 2023. ⟨hal-04182069⟩
36 View
14 Download

Share

Gmail Facebook X LinkedIn More