Once punctured disks, non-convex polygons, and pointihedra

DOI10.1007/s00026-018-0393-1zbMath1396.05034arXiv1602.04576OpenAlexW2287344720MaRDI QIDQ1787972

Hugo Parlier, Lionel Pournin

Publication date: 5 October 2018

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

Full work available at URL: https://arxiv.org/abs/1602.04576

zbMATH Keywords

triangulationscombinatorial moduli spacesflip-graphs

Mathematics Subject Classification ID

Planar graphs; geometric and topological aspects of graph theory (05C10) Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Relations of low-dimensional topology with graph theory (57M15) Distance in graphs (05C12)

Related Items (3)

Flip-graph moduli spaces of filling surfaces ⋮ Rainbow Cycles in Flip Graphs ⋮ Non-leaving-face property for marked surfaces

Cites Work

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• The diameter of type \(D\) associahedra and the non-leaving-face property
• Triangulations. Structures for algorithms and applications
• Flipping edges in triangulations
• The associahedron and triangulations of the \(n\)-gon
• Graph of triangulations of a convex polygon and tree of triangulations
• Flip-graph moduli spaces of filling surfaces
• Modular flip-graphs of one-holed surfaces
• The diameter of associahedra
• The rotation graph of binary trees is Hamiltonian
• Rotation Distance, Triangulations, and Hyperbolic Geometry
• The geometry of flip graphs and mapping class groups
• Injective maps between flip graphs

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