Irreducible triangulations of the Klein bottle
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Publication:1362097
DOI10.1006/jctb.1997.9999zbMath0876.05023OpenAlexW1972315252MaRDI QIDQ1362097
Seiya Negami, S. A. Lavrenchenko
Publication date: 12 August 1997
Published in: Journal of Combinatorial Theory. Series B (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jctb.1997.9999
Related Items (24)
Subgraph densities in a surface ⋮ Minor-minimal 6-regular graphs in the Klein bottle ⋮ Minimal triangulations of two-dimensional manifolds ⋮ Minor relation for quadrangulations on the projective plane ⋮ Finitizable set of reductions for polyhedral quadrangulations of closed surfaces ⋮ -Minors in triangulations on surfaces ⋮ Note on the irreducible triangulations of the Klein bottle ⋮ Irreducible triangulations of the once-punctured torus ⋮ Drawing disconnected graphs on the Klein bottle ⋮ \(K_{6}\)-minors in triangulations on the nonorientable surface of genus 3 ⋮ Generating even triangulations on the Klein bottle ⋮ Shortest path embeddings of graphs on surfaces ⋮ Vertex spanning planar Laman graphs in triangulated surfaces ⋮ On the maximum number of cliques in a graph embedded in a surface ⋮ Generating 4-connected even triangulations on the sphere ⋮ On a class of inflexible polyhedra ⋮ Generating maps on surfaces ⋮ Generating even triangulations on the torus ⋮ Irreducible triangulations are small ⋮ A generating theorem of simple even triangulations with a finitizable set of reductions ⋮ K6-minors in triangulations and complete quadrangulations ⋮ The distinguishing numbers of graphs on closed surfaces ⋮ Constructing the graphs that triangulate both the torus and the Klein bottle ⋮ Diagonal flips in triangulations on closed surfaces with minimum degree at least 4
Cites Work
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- All 2-manifolds have finitely many minimal triangulations
- Diagonal flips in triangulations of surfaces
- Constructing the graphs that triangulate both the torus and the Klein bottle
- Generating the triangulations of the projective plane
- Note on irreducible triangulations of surfaces
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