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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