Abstract
In this paper, we show that any two even triangulations on the torus with the same and sufficiently large number of vertices can be transformed into each other by a sequence of two specifically defined deformations called an N-flip and a P2-flip, up to isotopy, if and only if they have the same monodromy.
| Original language | English |
|---|---|
| Pages (from-to) | 1128-1135 |
| Number of pages | 8 |
| Journal | Discrete Mathematics |
| Volume | 311 |
| Issue number | 13 |
| DOIs | |
| Publication status | Published - 2011 Jul 6 |
Keywords
- Dehn twist
- Even triangulation
- Isotopy
- Monodromy
- N-flip
- Surface
ASJC Scopus subject areas
- Theoretical Computer Science
- Discrete Mathematics and Combinatorics
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Higuchi, Y., Nakamoto, A., Ota, K., & Sakuma, T. (2011). N-flips in even triangulations on the torus and Dehn twists preserving monodromies. Discrete Mathematics, 311(13), 1128-1135. https://doi.org/10.1016/j.disc.2010.08.003