Integer points in polyhedra / Alexander Barvinok
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| Autore: |
Barvinok, Alexander
|
| Titolo: |
Integer points in polyhedra / Alexander Barvinok
|
| Pubblicazione: | Zurich : European Mathematical Society, 2008 |
| Descrizione fisica: | viii, 189 p. : ill. ; 24 cm |
| Disciplina: | 511.33 |
| Soggetto topico: | Polyhedral functions |
| Lattice theory | |
| Polynomials | |
| Classificazione: | AMS 52C07 |
| AMS 52B20 | |
| AMS 05A15 | |
| LC QA171.5.B38 | |
| Nota di bibliografia: | Includes bibliographical references (p. [187]-189) and index |
| Nota di contenuto: | The algebra of polyhedra ; Linear transformations and polyhedra ; The structure of polyhedra ; Polarity ; Tangent cones : decompositions modulo polyhedra with lines ; Open polyhedra ; The exponential valuation ; Computing volumes ; Lattices, bases, and parallelepipeds ; The Minkowski convex body theorem ; Reduced basis ; Exponential sums and generating functions ; Totally unimodular polytopes ; Decomposing a 2-dimensional cone into unimodular cones via continued fractions ; Decomposing a rational cone of an arbitrary dimension into unimodular cones ; Efficient counting of integer points in rational polytopes ; The polynomial behavior of the number of integer points in polytopes ; A valuation on rational cones ; A "local" formula for the number of integer points in a polytope |
| ISBN: | 9783037190524 |
| 3037190523 | |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 991000330819707536 |
| Lo trovi qui: | Univ. del Salento |
| Opac: | Controlla la disponibilità qui |
Serie:
Zurich lectures in advanced mathematics