Work

Drums of high width

Year: 2025

Type: article

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.

Source: Proceedings of the London Mathematical Society

DOI: 10.1112/plms.70031

Authors: Alex Davies, Prateek Gupta, Sébastien Racanière, Grzegorz Swirszcz, Adam Zsolt Wagner, Theophane Weber, Geordie Williamson

Institutions: Google DeepMind (United Kingdom), Worcester Polytechnic Institute, The University of Sydney

Language: English

Topic: Advanced Combinatorial Mathematics

Subfield: Discrete Mathematics and Combinatorics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: Agricultural Research Council

Award: G2026827657

OpenAlex ID: W4408403712

FWCI: 2.484

Cites: 4

Cited by: 1

Related to: 10