A note on lattice-face polytopes and their Ehrhart polynomials

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dc.creatorLiu, Fu
dc.date2008-10-26
dc.date.accessioned2026-07-07T10:13:18Z
dc.date.available2026-07-07T10:13:18Z
dc.descriptionWe give a new definition of lattice-face polytopes by removing an unnecessary restriction in the paper "Ehrhart polynomials of lattice-face polytopes", and show that with the new definition, the Ehrhart polynomial of a lattice-face polytope still has the property that each coefficient is the normalized volume of a projection of the original polytope. Furthermore, we show that the new family of lattice-face polytopes contains all possible combinatorial types of rational polytopes.
dc.description11 pages
dc.identifierhttps://arxiv.org/abs/0810.4655
dc.identifierhttp://arxiv.org/abs/0810.4655
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/172480
dc.subjectCombinatorics
dc.subject05A19; 52B20
dc.titleA note on lattice-face polytopes and their Ehrhart polynomials
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