Degree-regular triangulations of torus and Klein bottle

DOI10.1007/BF02829658zbMath1093.52007arXivmath/0403433MaRDI QIDQ2572424

Basudeb Datta, Ashish Kumar Upadhyay

Publication date: 8 November 2005

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0403433

zbMATH Keywords

combinatorial surfacesdegree-regular triangulationsregular simplicial mapstriangulations of 2-manifoldsvertex-transitive automorphism group

Mathematics Subject Classification ID

Related Items (14)

Symmetries of Maps on Surfaces ⋮ Semi-equivelar and vertex-transitive maps on the torus ⋮ There is no triangulation of the torus with vertex degrees \(5, 6, \dots , 6, 7\) and related results: geometric proofs for combinatorial theorems ⋮ Doubly semiequivelar maps on torus and Klein bottle ⋮ Doubly semi-equivelar maps on the plane and the torus ⋮ Archimedean toroidal maps and their edge covers ⋮ Semi-equivelar maps ⋮ A classification of semi-equivelar maps on the surface of Euler characteristic \(-1\) ⋮ Deforming Stanley-Reisner schemes ⋮ Semi-equivelar maps on the torus and the Klein bottle are Archimedean ⋮ Equivelar maps on the torus ⋮ Semi-equivelar maps on the surface of Euler characteristic ⋮ Isomorphism-free lexicographic enumeration of triangulated surfaces and 3-manifolds ⋮ Minimum cycle bases of graphs over different fields

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• Degree-regular triangulations of the double-torus
• Equivelar polyhedra with few vertices

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