Flippable edges in triangulations on surfaces

DOI10.7151/dmgt.2377zbMath1493.05077OpenAlexW3109231326MaRDI QIDQ2158186

Atsuhiro Nakamoto, Daiki Ikegami

Publication date: 26 July 2022

Published in: Discussiones Mathematicae. Graph Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7151/dmgt.2377

zbMATH Keywords

surfacetriangulationdiagonal flip

Mathematics Subject Classification ID

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

Cites Work

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• All 2-manifolds have finitely many minimal triangulations
• Note on the irreducible triangulations of the Klein bottle
• Irreducible triangulations are small
• Diagonal flips of triangulations on closed surfaces preserving specified properties
• Diagonal flips in triangulations on closed surfaces with minimum degree at least 4
• Diagonal flips in triangulations of surfaces
• Generating triangulations on closed surfaces with minimum degree at least 4
• Diagonal flips in Hamiltonian triangulations on the sphere
• Constructing the graphs that triangulate both the torus and the Klein bottle
• Generating the triangulations of the projective plane
• Wagner's theorem for torus graphs
• Irreducible triangulations of surfaces with boundary
• Diagonal transformations of triangulation on surfaces
• Note on irreducible triangulations of surfaces
• Diagonal flips in labelled planar triangulations

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