We determine the complete list of the irreducible triangulations of the Klein bottle, up to equivalence, analyzing their structures. 1997 Academic Press ## 1. Introduction A triangulation of a closed surface is a simple graph embedded on the surface so that each face is triangular and that any tw
โฆ LIBER โฆ
Note on the irreducible triangulations of the Klein bottle
โ Scribed by Thom Sulanke
- Book ID
- 108167411
- Publisher
- Elsevier Science
- Year
- 2006
- Tongue
- English
- Weight
- 256 KB
- Volume
- 96
- Category
- Article
- ISSN
- 0095-8956
No coin nor oath required. For personal study only.
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## Abstract In this paper, we shall show that an irreducible triangulation of a closed surface __F__^2^ has at most __cg__ vertices, where __g__ stands for a genus of __F__^2^ and __c__ a constant. ยฉ 1995, John Wiley & Sons, Inc.
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We show how to construct all the graphs that can be embedded on both the torus and the Klein bottle as their triangulations.