On face numbers of neighborly cubical polytopes

Abstract

Neighborly cubical polytopes are known as the cubical analogues of the cyclic polytopes. Using the short cubical $h$-vectors of cubical polytopes (introduced by Adin), we derive an explicit formula for the face numbers of the neighborly cubical polytopes. These face numbers form a unimodal sequence.

5 pages

References in corpus (2)

• Lectures on 0/1-polytopes
• Convex Polytopes: Extremal Constructions and f-Vector Shapes

Cited by in corpus (1)

• The Unimodality Conjecture for cubical polytopes