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| Main Authors: | , , , , , , , |
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| Format: | Preprint |
| Published: |
2022
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2208.12864 |
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| _version_ | 1866915101336928256 |
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| author | Díaz-Báñez, J. M. Horn, P. Lopez, M. A. Marín, N. Ramírez-Vigueras, A. Solé-Pi, O. Stevens, A. Urrutia, J. |
| author_facet | Díaz-Báñez, J. M. Horn, P. Lopez, M. A. Marín, N. Ramírez-Vigueras, A. Solé-Pi, O. Stevens, A. Urrutia, J. |
| contents | An orthogonal polygon is called an ortho-unit polygon if its vertices have integer coordinates, and all of its edges have length one. In this paper we prove that any ortho-unit polygon with $n \geq 12$ vertices can be guarded with at most $\lfloor \frac{n-4}{8} \rfloor$ guards, which is a tight bound. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2208_12864 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Ortho-unit polygons can be guarded with at most $\lfloor \frac{n-4}{8} \rfloor$ guards Díaz-Báñez, J. M. Horn, P. Lopez, M. A. Marín, N. Ramírez-Vigueras, A. Solé-Pi, O. Stevens, A. Urrutia, J. Computational Geometry Combinatorics 68 F.2.2 An orthogonal polygon is called an ortho-unit polygon if its vertices have integer coordinates, and all of its edges have length one. In this paper we prove that any ortho-unit polygon with $n \geq 12$ vertices can be guarded with at most $\lfloor \frac{n-4}{8} \rfloor$ guards, which is a tight bound. |
| title | Ortho-unit polygons can be guarded with at most $\lfloor \frac{n-4}{8} \rfloor$ guards |
| topic | Computational Geometry Combinatorics 68 F.2.2 |
| url | https://arxiv.org/abs/2208.12864 |