Irreducible triangulations of the torus

DOI10.1007/BF01104169zbMath0705.57011MaRDI QIDQ917981

S. A. Lavrenchenko

Publication date: 1990

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)

zbMATH Keywords

vertex-splittingtriangulation of the two-dimensional torus

Mathematics Subject Classification ID

Related Items (13)

Subgraph densities in a surface ⋮ Minor relation for quadrangulations on the projective plane ⋮ Finitizable set of reductions for polyhedral quadrangulations of closed surfaces ⋮ Irreducible triangulations of the once-punctured torus ⋮ Contractions of 6-connected toroidal graphs ⋮ Global rigidity of triangulations with braces ⋮ Vertex spanning planar Laman graphs in triangulated surfaces ⋮ A fast algorithm for computing irreducible triangulations of closed surfaces in \(\mathbb{E}^d\) ⋮ Unnamed Item ⋮ The rigidity of a partially triangulated torus ⋮ A note on the complexity of real algebraic hypersurfaces ⋮ Irreducible triangulations are small ⋮ A generating theorem of simple even triangulations with a finitizable set of reductions

Cites Work

• All triangulations of the projective plane are geometrically realizable in \(E^ 4\).
• Uniqueness and faithfulness of embedding of toroidal graphs
• Generating the triangulations of the projective plane

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