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arXiv · 2503.09919

Drums of high width

Alex Davies·Prateek Gupta·Sebastien Racaniere·Grzegorz Swirszcz·Adam Zsolt Wagner·Theophane Weber·Geordie Williamson
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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.

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Alex Davies, Prateek Gupta, Sebastien Racaniere, Grzegorz Swirszcz, Adam Zsolt Wagner, Theophane Weber, Geordie Williamson. 2025-03-13. Drums of high width. https://arxiv.org/abs/2503.09919

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