On the cone of f-vectors of cubical polytopes

Ron M. Adin, Daniel Kalmanovich, Eran Nevo

Research output: Contribution to conferencePaperpeer-review

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 languageAmerican English
StatePublished - 2018
Event30th international conference on Formal Power Series and Algebraic Combinatorics, FPSAC 2018 - Hanover, United States
Duration: 16 Jul 201820 Jul 2018

Conference

Conference30th international conference on Formal Power Series and Algebraic Combinatorics, FPSAC 2018
Country/TerritoryUnited States
CityHanover
Period16/07/1820/07/18

Bibliographical note

Publisher Copyright:
© FPSAC 2018 - 30th international conference on Formal Power Series and Algebraic Combinatorics. All rights reserved.

Keywords

  • Cubical g-vector
  • Cubical polytope

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