Drums of high width
Fuente:
arXiv
Salvato in:
| Autori principali: | , , , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866909536287195136 |
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| author | Davies, Alex Gupta, Prateek Racaniere, Sebastien Swirszcz, Grzegorz Wagner, Adam Zsolt Weber, Theophane Williamson, Geordie |
| author_facet | Davies, Alex Gupta, Prateek Racaniere, Sebastien Swirszcz, Grzegorz Wagner, Adam Zsolt Weber, Theophane Williamson, Geordie |
| contents | We provide a family of $5$-dimensional prismatoids whose width grows linearly in the number of vertices. This provides a new infinite family of counter-examples to the Hirsch conjecture whose excess width grows linearly in the number of vertices, and answers a question of Matschke, Santos and Weibel. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_09919 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Drums of high width Davies, Alex Gupta, Prateek Racaniere, Sebastien Swirszcz, Grzegorz Wagner, Adam Zsolt Weber, Theophane Williamson, Geordie Combinatorics Computational Geometry Metric Geometry We provide a family of $5$-dimensional prismatoids whose width grows linearly in the number of vertices. This provides a new infinite family of counter-examples to the Hirsch conjecture whose excess width grows linearly in the number of vertices, and answers a question of Matschke, Santos and Weibel. |
| title | Drums of high width |
| topic | Combinatorics Computational Geometry Metric Geometry |
| url | https://arxiv.org/abs/2503.09919 |