Drums of high width
Abstract 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.
Authors
- Théophane Weber (ORCID: https://orcid.org/0000-0001-6230-952X)
- Geordie Williamson (ORCID: https://orcid.org/0000-0003-3672-5284)
- Sébastien Racanière (ORCID: https://orcid.org/0000-0003-2285-8633)
- Ascher Wagner
- Grzegorz Świrszcz
- Alex Davies (ORCID: https://orcid.org/0000-0003-4917-5234)
- Prateek Gupta
Institutions
- Worcester Polytechnic Institute (US)
- The University of Sydney (AU)
- Australian Bureau of Statistics (AU)
- Google DeepMind (United Kingdom) (GB)
- Google (United Kingdom) (GB)
Publication Details
- Journal
- Proceedings of the London Mathematical Society
- Published
- 2025-03-01
- DOI
- https://doi.org/10.1112/plms.70031
- Citations
- 1
- Primary Topic
- Advanced Combinatorial Mathematics
- Type
- article
- Field-Weighted Citation Impact
- 5.33
Funders
- Agricultural Research Council