The triangulations of the torus can be generated from a set of 21 minimal triangulations by vertex splitting. We show that if we never create a 3-valent vertex when we split them we generate the 4-connected triangulations. In addition if we never create two adjacent 4-valent vertexes then we gener
Generating 4-connected even triangulations on the sphere
β Scribed by Matsumoto, Naoki; Nakamoto, Atsuhiro
- Book ID
- 127181715
- Publisher
- Elsevier Science
- Year
- 2015
- Tongue
- English
- Weight
- 424 KB
- Volume
- 338
- Category
- Article
- ISSN
- 0012-365X
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π SIMILAR VOLUMES
A triangulation is said to be even if each vertex has even degree. For even triangulations, define the N-flip and the P 2 -flip as two deformations preserving the number of vertices. We shall prove that any two even triangulations on the sphere with the same number of vertices can be transformed int
## Abstract We shall determine the 20 families of irreducible even triangulations of the projective plane. Every even triangulation of the projective plane can be obtained from one of them by a sequence of __evenβsplittings__ and __attaching octahedra__, both of which were first given by Batagelj 2