In this note we show that, for any surface 7 and any k, there are at most finitely many triangulations of 7 such that each edge is in a noncontractible cycle of length k and is in no shorter noncontractible cycle. Such a triangulation is k-irreducible. This is equivalent to the statement that for an
Irreducible Triangulations of Surfaces with Boundary
✍ Scribed by Alexandre Boulch, Éric Colin de Verdière, Atsuhiro Nakamoto
- Book ID
- 120788784
- Publisher
- Springer Japan
- Year
- 2012
- Tongue
- English
- Weight
- 360 KB
- Volume
- 29
- Category
- Article
- ISSN
- 0911-0119
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