Matthew Fiset
A Note on Palindromic ? -Vectors for Certain Rational Polytopes
Fiset, Matthew; Kasprzyk, Alexander M.
Authors
Alexander M. Kasprzyk
Abstract
Let P be a convex polytope containing the origin, whose dual is a lattice polytope. Hibi's Palindromic Theorem tells us that if P is also a lattice polytope then the Ehrhart ?-vector of P is palindromic. Perhaps less well-known is that a similar result holds when P is rational. We present an elementary lattice-point proof of this fact.
Citation
Fiset, M., & Kasprzyk, A. M. (2008). A Note on Palindromic ? -Vectors for Certain Rational Polytopes. Electronic Journal of Combinatorics, 15, Article N18. https://doi.org/10.37236/893
Journal Article Type | Article |
---|---|
Acceptance Date | Jun 1, 2008 |
Online Publication Date | Jun 6, 2008 |
Publication Date | Jun 6, 2008 |
Deposit Date | Nov 12, 2015 |
Publicly Available Date | Mar 28, 2024 |
Journal | Electronic Journal of Combinatorics |
Electronic ISSN | 1077-8926 |
Publisher | Electronic Journal of Combinatorics |
Peer Reviewed | Peer Reviewed |
Volume | 15 |
Article Number | N18 |
DOI | https://doi.org/10.37236/893 |
Public URL | https://nottingham-repository.worktribe.com/output/704825 |
Publisher URL | https://www.combinatorics.org/ojs/index.php/eljc/article/view/v15i1n18 |
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Copyright Statement
Copyright information regarding this work can be found at the following address: http://eprints.nottingham.ac.uk/end_user_agreement.pdf
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