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Flip distance and triangulations of a polyhedron

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Publication:6540258
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DOI10.1002/JGT.23096zbMATH Open1539.05027MaRDI QIDQ6540258

Zili Wang

Publication date: 15 May 2024

Published in: Journal of Graph Theory (Search for Journal in Brave)




zbMATH Keywords

triangulationpolyhedronflip graph


Mathematics Subject Classification ID

Combinatorial properties of polytopes and polyhedra (number of faces, shortest paths, etc.) (52B05) Planar graphs; geometric and topological aspects of graph theory (05C10) Distance in graphs (05C12) Eulerian and Hamiltonian graphs (05C45)


Cites Work

  • P.l. homeomorphic manifolds are equivalent by elementary shellings
  • Flips in planar graphs
  • Triangulations. Structures for algorithms and applications
  • The associahedron and triangulations of the \(n\)-gon
  • Flip-graph moduli spaces of filling surfaces
  • Computing the flip distance between triangulations
  • The diameter of associahedra
  • An arc graph distance formula for the flip graph
  • Rotation Distance, Triangulations, and Hyperbolic Geometry
  • Edge Conflicts do not Determine Geodesics in the Associahedron
  • The geometry of flip graphs and mapping class groups







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