Counterexamples to Siegel's Conjecture

2019/11/30 by Kean Fallon, Fallon, Kean P., Madisyn Janusiak +5
Mathematics · #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Analytic Number Theory Research #Combinatorics (math.CO) #FOS: Mathematics #Optimization and Control (math.OC)

paper · pdf · doi:10.48550/arxiv.1912.00282

openalex publication_date 2019/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove that the intersection of a Hirsch polytope and a cube may be a non-Hirsch polytope.

Related

• An Approach to the Hirsch Conjecture
• Observations on the Perturbed Wedge
• Companion to "An update on the Hirsch conjecture"
• Nonsimplicities and the perturbed wedge
• A Formal Disproof of the Hirsch Conjecture