On face numbers of neighborly cubical polytopes

Laszlo Major

Published 2013-10-14, updated 2015-01-13Version 3

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.