Injective maps between flip graphs

DOI10.5802/aif.2981zbMath1336.57028arXiv1409.7046OpenAlexW2964330088WikidataQ114013466 ScholiaQ114013466MaRDI QIDQ5962663

Thomas Koberda, Hugo Parlier, Javier Aramayona

Publication date: 15 February 2016

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1409.7046

zbMATH Keywords

flipembeddingtriangulation graph

Mathematics Subject Classification ID

General low-dimensional topology (57M99) Planar graphs; geometric and topological aspects of graph theory (05C10) General geometric structures on low-dimensional manifolds (57M50) Relations of low-dimensional topology with graph theory (57M15) Isomorphism problems in graph theory (reconstruction conjecture, etc.) and homomorphisms (subgraph embedding, etc.) (05C60)

Related Items (9)

Finite rigid sets in arc complexes ⋮ Rigidity of the saddle connection complex ⋮ Automorphisms of the \(k\)-curve graph ⋮ The genus of curve, pants and flip graphs ⋮ Once punctured disks, non-convex polygons, and pointihedra ⋮ Geometric simplicial embeddings of arc-type graphs ⋮ Cubical geometry in the polygonalisation complex ⋮ The geometry of flip graphs and mapping class groups ⋮ Finite rigid sets in flip graphs

Cites Work

• On the ideal triangulation graph of a punctured surface
• Simplicial embeddings between pants graphs
• Geometry of the complex of curves. II: Hierarchical structure
• An analytic family of representations for the mapping class group of punctured surfaces
• The geometry of flip graphs and mapping class groups
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