Modular flip-graphs of one-holed surfaces

DOI10.1016/j.ejc.2017.07.003zbMath1371.05057arXiv1510.07664OpenAlexW1867296618MaRDI QIDQ2408973

Hugo Parlier, Lionel Pournin

Publication date: 10 October 2017

Published in: European Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1510.07664

zbMATH Keywords

triangulations on topological surfaces

Mathematics Subject Classification ID

Planar graphs; geometric and topological aspects of graph theory (05C10) Distance in graphs (05C12)

Related Items (3)

Flip-graph moduli spaces of filling surfaces ⋮ Once punctured disks, non-convex polygons, and pointihedra ⋮ Non-leaving-face property for marked surfaces

Cites Work

• On the ideal triangulation graph of a punctured surface
• Triangulations. Structures for algorithms and applications
• The associahedron and triangulations of the \(n\)-gon
• Flip-graph moduli spaces of filling surfaces
• The diameter of associahedra
• Tiling the Projective Foliation Space of a Punctured Surface
• Rotation Distance, Triangulations, and Hyperbolic Geometry
• A History of Flips in Combinatorial Triangulations
• How I ‘met’ Dov Tamari
• Homotopy Associativity of H-Spaces. I
• Monoïdes préordonnés et chaînes de Malcev

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