The computation of generalized Ehrhart series in Normaliz

DC ElementWertSprache
dc.contributor.authorBruns, Winfried
dc.contributor.authorSoeger, Christof
dc.date.accessioned2021-12-23T15:59:43Z-
dc.date.available2021-12-23T15:59:43Z-
dc.date.issued2015
dc.identifier.issn07477171
dc.identifier.urihttps://osnascholar.ub.uni-osnabrueck.de/handle/unios/4098-
dc.description.abstractWe describe an algorithm for the computation of generalized (or weighted) Ehrhart series based on Stanley decompositions as implemented in the offspring Nmzlntegrate of Normaliz. The algorithmic approach includes elementary proofs of the basic results. We illustrate the computations by examples from combinatorial voting theory. (C) 2014 Elsevier Ltd. All rights reserved.
dc.description.sponsorshipMathematical Sciences Research Institute, Berkeley CA; Deutsche ForschungsgemeinschaftGerman Research Foundation (DFG) [SPP 1489]; The first author thanks the Mathematical Sciences Research Institute, Berkeley CA for support and hospitality during Fall 2012 when the first version of this paper was written.; Both authors thank the Deutsche Forschungsgemeinschaft for support of the Normaliz project through the SPP 1489 ``Experimental methods in algebra, geometry and number theory''.
dc.language.isoen
dc.publisherACADEMIC PRESS LTD- ELSEVIER SCIENCE LTD
dc.relation.ispartofJOURNAL OF SYMBOLIC COMPUTATION
dc.subjectComputer Science
dc.subjectComputer Science, Theory & Methods
dc.subjectGeneralized Ehrhart series
dc.subjectIntegral
dc.subjectMathematics
dc.subjectMathematics, Applied
dc.subjectPOLYHEDRA
dc.subjectPOLYNOMIALS
dc.subjectPROBABILITY-CALCULATIONS
dc.subjectRational polytope
dc.titleThe computation of generalized Ehrhart series in Normaliz
dc.typejournal article
dc.identifier.doi10.1016/j.jsc.2014.09.004
dc.identifier.isiISI:000347767600005
dc.description.volume68
dc.description.issue2, SI
dc.description.startpage75
dc.description.endpage86
dc.publisher.place24-28 OVAL RD, LONDON NW1 7DX, ENGLAND
dcterms.isPartOf.abbreviationJ. Symb. Comput.
dcterms.oaStatusBronze, Green Submitted
crisitem.author.deptFB 06 - Mathematik/Informatik-
crisitem.author.deptidfb06-
crisitem.author.parentorgUniversität Osnabrück-
crisitem.author.netidBrWi827-
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