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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | https://arxiv.org/abs/2411.12041 |
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| _version_ | 1866916487025917952 |
|---|---|
| author | Hall, Nathan |
| author_facet | Hall, Nathan |
| contents | If a graph $G$ can be embedded on the torus, and be embedded linklessly in $\mathbb{R}^3$, it's not known whether or not we can always find a linkless embedding of $G$ contained in the standard (unknotted) torus; We show that, for orders 9 and below, any graph which is both embeddable on the torus, and linklessly in $\mathbb{R}^3$, can be embedded linklessly in the standard torus. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_12041 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Toroidal Embeddings of non-Intrinsically-Linked Graphs Hall, Nathan Geometric Topology If a graph $G$ can be embedded on the torus, and be embedded linklessly in $\mathbb{R}^3$, it's not known whether or not we can always find a linkless embedding of $G$ contained in the standard (unknotted) torus; We show that, for orders 9 and below, any graph which is both embeddable on the torus, and linklessly in $\mathbb{R}^3$, can be embedded linklessly in the standard torus. |
| title | Toroidal Embeddings of non-Intrinsically-Linked Graphs |
| topic | Geometric Topology |
| url | https://arxiv.org/abs/2411.12041 |