A characterization of strongly monotypic polytopes

2021/09/17 by Vuong Bui, Bui, Vuong
Mathematics · Social Sciences · #52B11 (Primary) 52C17 (Secondary) #52B12 #Combinatorics (math.CO) #FOS: Mathematics #Mathematics and Applications #Multiculturalism, Politics, Migration, Gender #Point processes and geometric inequalities

paper · pdf · doi:10.48550/arxiv.2109.08448

openalex publication_date 2021/09/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We characterize all the strongly monotypic polytopes. Hadwiger's conjecture for this class of polytopes is deduced from the characterization.

Related

• Hadwiger's conjecture holds for strongly monotypic polytopes
• Every generating polytope is strongly monotypic
• Hereditary Polytopes
• Polytopes with few vertices and few facets
• Problems on Polytopes, Their Groups, and Realizations