Lower bounds on the coefficients of Ehrhart polynomials

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dc.creatorHenk, Martin
dc.creatorTagami, Makoto
dc.date2007-10-14
dc.date2008-02-26
dc.date.accessioned2026-07-07T09:22:51Z
dc.date.available2026-07-07T09:22:51Z
dc.descriptionWe present lower bounds for the coefficients of Ehrhart polynomials of convex lattice polytopes in terms of their volume. Concerning the coefficients of the Ehrhart series of a lattice polytope we show that Hibi's lower bound is not true for lattice polytopes without interior lattice points. The counterexample is based on a formula of the Ehrhart series of the join of two lattice polytope. We also present a formula for calculating the Ehrhart series of integral dilates of a polytope.
dc.descriptionv2: minor corrections; referees comments and suggestions incorporated. To appear in European J. Combinat
dc.identifierhttps://arxiv.org/abs/0710.2665
dc.identifierhttp://arxiv.org/abs/0710.2665
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/155522
dc.subjectMetric Geometry
dc.subjectCombinatorics
dc.subject52C07; 11H06; 52B20
dc.titleLower bounds on the coefficients of Ehrhart polynomials
dc.typetext

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