A Note on Palindromic ? -Vectors for Certain Rational Polytopes

Fiset, Matthew; Kasprzyk, Alexander M.

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: Nov 12, 2015
• 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