Polytopes with few vertices and few facets

JOURNAL OF COMBINATORIAL THEORY SERIES A

卷:142

Article

Padrol, Arnau¹ 

[1] Univ Paris 06, Sorbonne Univ, Inst Math Jussieu Paris Rive Gauche, UMR 7586, 4 Pl Jussieu, F-75252 Paris 5, France

关键词: Convex polytopes;    Number of combinatorial types;    Perles' Skeleton Theorem;   

DOI  :  10.1016/j.jcta.2016.04.001

来源: Elsevier

【 摘 要 】

In this note we prove that the number of combinatorial types of d-polytopes with d + 1 + alpha vertices and d + 1 + beta facets is bounded by a constant independent of d. (C) 2016 Elsevier Inc. All rights reserved.

【 授权许可】

Free