On the cone of f-vectors of cubical polytopes

Ron M. Adin; Daniel Kalmanovich; Eran Nevo

On the cone of f-vectors of cubical polytopes

Ron M. Adin, Daniel Kalmanovich, Eran Nevo

Department of Mathematics

Hebrew University of Jerusalem

Research output: Contribution to conference › Paper › peer-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 language	English
State	Published - 2018
Event	30th international conference on Formal Power Series and Algebraic Combinatorics, FPSAC 2018 - Hanover, United States Duration: 16 Jul 2018 → 20 Jul 2018

Conference

Conference	30th international conference on Formal Power Series and Algebraic Combinatorics, FPSAC 2018
Country/Territory	United States
City	Hanover
Period	16/07/18 → 20/07/18

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

Cite this

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KW - Cubical polytope

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T2 - 30th international conference on Formal Power Series and Algebraic Combinatorics, FPSAC 2018

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On the cone of f-vectors of cubical polytopes

Abstract

Conference

Bibliographical note

Keywords

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Cite this