Stabbing Faces By a Convex Curve
Fuente:
arXiv
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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
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| _version_ | 1866908500605534208 |
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| author | Eppstein, David |
| author_facet | Eppstein, David |
| contents | We prove that, for every plane graph $G$ and every smooth convex curve $C$ not on a single line, there exists a straight-line drawing of $G$ for which every face is crossed by $C$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_17549 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Stabbing Faces By a Convex Curve Eppstein, David Computational Geometry We prove that, for every plane graph $G$ and every smooth convex curve $C$ not on a single line, there exists a straight-line drawing of $G$ for which every face is crossed by $C$. |
| title | Stabbing Faces By a Convex Curve |
| topic | Computational Geometry |
| url | https://arxiv.org/abs/2508.17549 |