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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2403.11986 |
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| _version_ | 1866915228426436608 |
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| author | Power, Stephen C. |
| author_facet | Power, Stephen C. |
| contents | Every noncompact surface is shown to have a (3,6)-tight triangulation, and applications are given to the generic rigidity of countable bar-joint frameworks in R^3. In particular, every noncompact surface has a (3,6)-tight triangulation that is minimally 3-rigid. A simplification of Richards' proof of Kerékjártó's classification of noncompact surfaces is also given. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_11986 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Noncompact surfaces, triangulations and rigidity Power, Stephen C. Combinatorics Geometric Topology 52C25 Every noncompact surface is shown to have a (3,6)-tight triangulation, and applications are given to the generic rigidity of countable bar-joint frameworks in R^3. In particular, every noncompact surface has a (3,6)-tight triangulation that is minimally 3-rigid. A simplification of Richards' proof of Kerékjártó's classification of noncompact surfaces is also given. |
| title | Noncompact surfaces, triangulations and rigidity |
| topic | Combinatorics Geometric Topology 52C25 |
| url | https://arxiv.org/abs/2403.11986 |