dc.contributor.author
Haase, Christian
dc.contributor.author
Juhnke-Kubitzke, Martina
dc.contributor.author
Sanyal, Raman
dc.contributor.author
Theobald, Thorsten
dc.date.accessioned
2018-06-08T10:34:13Z
dc.date.available
2017-03-14T10:10:21.852Z
dc.identifier.uri
https://refubium.fu-berlin.de/handle/fub188/20677
dc.identifier.uri
http://dx.doi.org/10.17169/refubium-23977
dc.description.abstract
For lattice polytopes P1; : : : ; Pk ⊆ Rd, Bihan (2016) introduced the
discrete mixed volume DMV(P1; : : : ; Pk) in analogy to the classical mixed
volume. In this note we study the associated mixed Ehrhart polynomial
MEP1;:::;Pk (n) = DMV(nP1; : : : ; nPk). We provide a characterization of all
mixed Ehrhart coefficients in terms of the classical multivariate Ehrhart
polynomial. Bihan (2016) showed that the discrete mixed volume is always non-
negative. Our investigations yield simpler proofs for certain special cases.
We also introduce and study the associated mixed h*-vector. We show that for
large enough dilates rP1; : : : ; rPk the corresponding mixed h*-polynomial
has only real roots and as a consequence the mixed h*-vector becomes non-
negative.
en
dc.rights.uri
http://www.combinatorics.org/ojs/index.php/eljc/index
dc.subject
Lattice polytope
dc.subject
(Mixed) Ehrhart polynomial
dc.subject
Discrete (mixed) volume
dc.subject.ddc
500 Naturwissenschaften und Mathematik::510 Mathematik
dc.title
Mixed Ehrhart polynomials
dc.type
Wissenschaftlicher Artikel
dcterms.bibliographicCitation
Electronic Journal of Combinatorics. - 24 (2017), 1, Artikel Nr. P1.10
dcterms.bibliographicCitation.url
http://www.combinatorics.org/ojs/index.php/eljc/article/view/v24i1p10
refubium.affiliation
Mathematik und Informatik
de
refubium.mycore.fudocsId
FUDOCS_document_000000026628
refubium.resourceType.isindependentpub
no
refubium.mycore.derivateId
FUDOCS_derivate_000000007892
dcterms.accessRights.openaire
open access
dcterms.isPartOf.issn
1077-8926