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| Format: | Preprint |
| Veröffentlicht: |
2026
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| Schlagworte: | |
| Online-Zugang: | https://arxiv.org/abs/2601.17943 |
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| _version_ | 1866918304859291648 |
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| author | Tyc, Adam |
| author_facet | Tyc, Adam |
| contents | We consider triangulations of closed $2$-dimensional (not necessarily orientable) surfaces. Any minimal set of zigzags that double covers the set of edges provides a $z$-orientation of the triangulation. We introduce Markov chains of $z$-oriented triangulations. Our main result is a characterization of their ergodicity. This topic is closely connected to coloring of Eulerian triangulations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_17943 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Markov chains of $Z$-oriented triangulations of surfaces Tyc, Adam Combinatorics We consider triangulations of closed $2$-dimensional (not necessarily orientable) surfaces. Any minimal set of zigzags that double covers the set of edges provides a $z$-orientation of the triangulation. We introduce Markov chains of $z$-oriented triangulations. Our main result is a characterization of their ergodicity. This topic is closely connected to coloring of Eulerian triangulations. |
| title | Markov chains of $Z$-oriented triangulations of surfaces |
| topic | Combinatorics |
| url | https://arxiv.org/abs/2601.17943 |