The computation of generalized Ehrhart series in Normaliz
| Autor(en): | Bruns, Winfried Soeger, Christof |
Stichwörter: | Computer Science; Computer Science, Theory & Methods; Generalized Ehrhart series; Integral; Mathematics; Mathematics, Applied; POLYHEDRA; POLYNOMIALS; PROBABILITY-CALCULATIONS; Rational polytope | Erscheinungsdatum: | 2015 | Herausgeber: | ACADEMIC PRESS LTD- ELSEVIER SCIENCE LTD | Journal: | JOURNAL OF SYMBOLIC COMPUTATION | Volumen: | 68 | Ausgabe: | 2, SI | Startseite: | 75 | Seitenende: | 86 | Zusammenfassung: | 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. |
ISSN: | 07477171 | DOI: | 10.1016/j.jsc.2014.09.004 |
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