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
Note on irreducible triangulations of surfaces
β Scribed by Atsuhiro Nakamoto; Katsuhiro Ota
- Publisher
- John Wiley and Sons
- Year
- 1995
- Tongue
- English
- Weight
- 302 KB
- Volume
- 20
- Category
- Article
- ISSN
- 0364-9024
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β¦ Synopsis
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. Β© 1995, John Wiley & Sons, Inc.
π SIMILAR VOLUMES
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