ON BALANCED PLANAR GRAPHS, FOLLOWING W. THURSTON - Archive ouverte HAL Accéder directement au contenu
Pré-Publication, Document De Travail Année : 2015

ON BALANCED PLANAR GRAPHS, FOLLOWING W. THURSTON

Résumé

Let f : S 2 → S 2 be an orientation-preserving branched covering map of degree d ≥ 2, and let Σ be an oriented Jordan curve passing through the critical values of f . Then Γ := f −1 (Σ) is an oriented graph on the sphere. In a group email discussion in Fall 2010, W. Thurston introduced balanced planar graphs and showed that they combinatorially characterize all such Γ, where f has 2d−2 distinct critical values. We give a detailed account of this discussion, along with some examples and an appendix about Hurwitz numbers.
Fichier principal
Vignette du fichier
New-balanced-maps.pdf (1.96 Mo) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-01117927 , version 1 (18-02-2015)

Identifiants

  • HAL Id : hal-01117927 , version 1

Citer

Sarah Koch, Tan Lei. ON BALANCED PLANAR GRAPHS, FOLLOWING W. THURSTON. 2015. ⟨hal-01117927⟩
101 Consultations
45 Téléchargements

Partager

Gmail Facebook X LinkedIn More