Arrangements of Pseudocircles: Triangles and Drawings.

Arrangement Circularizability Grünbaum’s conjecture Pseudocircle Triangle Tutte drawing

Journal

Discrete & computational geometry
ISSN: 0179-5376
Titre abrégé: Discrete Comput Geom
Pays: United States
ID NLM: 101533553

Informations de publication

Date de publication:
2021
Historique:
received: 09 05 2018
revised: 11 12 2019
accepted: 05 01 2020
entrez: 14 1 2021
pubmed: 15 1 2021
medline: 15 1 2021
Statut: ppublish

Résumé

A pseudocircle is a simple closed curve on the sphere or in the plane. The study of arrangements of pseudocircles was initiated by Grünbaum, who defined them as collections of simple closed curves that pairwise intersect in exactly two crossings. Grünbaum conjectured that the number of triangular cells

Identifiants

pubmed: 33442073
doi: 10.1007/s00454-020-00173-4
pii: 173
pmc: PMC7779420
doi:

Types de publication

Journal Article

Langues

eng

Pagination

261-278

Informations de copyright

© The Author(s) 2020.

Références

Discrete Comput Geom. 2021;65(1):261-278
pubmed: 33442073

Auteurs

Stefan Felsner (S)

Institut für Mathematik, Technische Universität, 10623 Berlin, Germany.

Manfred Scheucher (M)

Institut für Mathematik, Technische Universität, 10623 Berlin, Germany.

Classifications MeSH