The computation of generalized Ehrhart series in Normaliz
DC Element | Wert | Sprache |
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dc.contributor.author | Bruns, Winfried | |
dc.contributor.author | Soeger, Christof | |
dc.date.accessioned | 2021-12-23T15:59:43Z | - |
dc.date.available | 2021-12-23T15:59:43Z | - |
dc.date.issued | 2015 | |
dc.identifier.issn | 07477171 | |
dc.identifier.uri | https://osnascholar.ub.uni-osnabrueck.de/handle/unios/4098 | - |
dc.description.abstract | We 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.sponsorship | Mathematical 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.iso | en | |
dc.publisher | ACADEMIC PRESS LTD- ELSEVIER SCIENCE LTD | |
dc.relation.ispartof | JOURNAL OF SYMBOLIC COMPUTATION | |
dc.subject | Computer Science | |
dc.subject | Computer Science, Theory & Methods | |
dc.subject | Generalized Ehrhart series | |
dc.subject | Integral | |
dc.subject | Mathematics | |
dc.subject | Mathematics, Applied | |
dc.subject | POLYHEDRA | |
dc.subject | POLYNOMIALS | |
dc.subject | PROBABILITY-CALCULATIONS | |
dc.subject | Rational polytope | |
dc.title | The computation of generalized Ehrhart series in Normaliz | |
dc.type | journal article | |
dc.identifier.doi | 10.1016/j.jsc.2014.09.004 | |
dc.identifier.isi | ISI:000347767600005 | |
dc.description.volume | 68 | |
dc.description.issue | 2, SI | |
dc.description.startpage | 75 | |
dc.description.endpage | 86 | |
dc.publisher.place | 24-28 OVAL RD, LONDON NW1 7DX, ENGLAND | |
dcterms.isPartOf.abbreviation | J. Symb. Comput. | |
dcterms.oaStatus | Bronze, Green Submitted | |
crisitem.author.dept | FB 06 - Mathematik/Informatik | - |
crisitem.author.deptid | fb06 | - |
crisitem.author.parentorg | Universität Osnabrück | - |
crisitem.author.netid | BrWi827 | - |
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geprüft am 17.05.2024