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 | American English |
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State | Published - 1 Jan 2018 |
Externally published | Yes |
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 |
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Country/Territory | United States |
City | Hanover |
Period | 16/07/18 → 20/07/18 |
Keywords
- Cubical g-vector
- Cubical polytope
All Science Journal Classification (ASJC) codes
- Algebra and Number Theory