Bounding Crossing Number in Rectangular and Hexagonal Knot Mosaics
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866929558362521600 |
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| author | Howards, Hugh Li, Jiong Liu, Xiaotian |
| author_facet | Howards, Hugh Li, Jiong Liu, Xiaotian |
| contents | Howards and Kobin give a sharp upper bound for crossing number of knots on rectangular mosaics. Here we extend the proof to create a new bound for hexagonal mosaics in all three natural settings and shorten the proof in the rectangular setting. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_19570 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Bounding Crossing Number in Rectangular and Hexagonal Knot Mosaics Howards, Hugh Li, Jiong Liu, Xiaotian Geometric Topology 57M27, 57M25 Howards and Kobin give a sharp upper bound for crossing number of knots on rectangular mosaics. Here we extend the proof to create a new bound for hexagonal mosaics in all three natural settings and shorten the proof in the rectangular setting. |
| title | Bounding Crossing Number in Rectangular and Hexagonal Knot Mosaics |
| topic | Geometric Topology 57M27, 57M25 |
| url | https://arxiv.org/abs/2410.19570 |