On the cone of f-vectors of cubical polytopes

Ron M. Adin, Daniel Kalmanovich, Eran Nevo, Patricia Hersh

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

What is the minimal closed cone containing all f-vectors of cubical d-polytopes? We construct cubical polytopes showing that this cone, expressed in the cubical g-vector coordinates, contains the nonnegative g-orthant, thus verifying one direction of the Cubical Generalized Lower Bound Conjecture of Babson, Billera, and Chan. Our polytopes also show that a natural cubical analogue of the simplicial Generalized Lower Bound Theorem does not hold.

Original languageEnglish
Pages (from-to)1851-1866
Number of pages16
JournalProceedings of the American Mathematical Society
Volume147
Issue number5
DOIs
StatePublished - 1 May 2019
Externally publishedYes

ASJC Scopus subject areas

  • Mathematics (all)
  • Applied Mathematics

Fingerprint

Dive into the research topics of 'On the cone of f-vectors of cubical polytopes'. Together they form a unique fingerprint.

Cite this