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Integer Points in Polyhedra—Geometry, Number Theory, Representation Theory, Algebra, Optimization, Statistics
About this Title
Matthias Beck, Christian Haase, Bruce Reznick, Michèle Vergne, Volkmar Welker and Ruriko Yoshida, Editors
Publication: Contemporary Mathematics
Publication Year:
2008; Volume 452
ISBNs: 978-0-8218-4173-0 (print); 978-0-8218-8131-6 (online)
DOI: https://doi.org/10.1090/conm/452
MathSciNet review: 2416261
Table of Contents
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Front/Back Matter
Articles
- Karen Aardal – Lattice reformulation of integer programming problems [MR 2405761]
- Velleda Baldoni, Nicole Berline and Michèle Vergne – Local Euler-Maclaurin expansion of Barvinok valuations and Ehrhart coefficients of a rational polytope [MR 2405762]
- Victor Batyrev and Benjamin Nill – Combinatorial aspects of mirror symmetry [MR 2405763]
- Benjamin Braun and Mike Develin – Ehrhart polynomial roots and Stanley’s non-negativity theorem [MR 2405764]
- J. William Davis, Erwin D’Souza, Sunyoung Lee and Carla D. Savage – Enumeration of integer solutions to linear inequalities defined by digraphs [MR 2405765]
- Robert Erdahl, Andrei Ordine and Konstantin Rybnikov – Perfect Delaunay polytopes and perfect quadratic functions on lattices [MR 2405766]
- Christian Haase and Tyrrell B. McAllister – Quasi-period collapse and $\textrm {GL}_n(\Bbb Z)$-scissors congruence in rational polytopes [MR 2405767]
- Hidefumi Ohsugi and Takayuki Hibi – Quadratic Gröbner bases arising from combinatorics [MR 2405768]
- Kalle Karu – Ehrhart analogue of the $h$-vector [MR 2405769]
- Akimichi Takemura and Ruriko Yoshida – Saturation points on faces of a rational polyhedral cone [MR 2405770]
- Zhiqiang Xu – An explicit formulation for two dimensional vector partition functions [MR 2405771]
- Matthias Beck, Benjamin Nill, Bruce Reznick, Carla Savage, Ivan Soprunov and Zhiqiang Xu – Let me tell you my favorite lattice-point problem $\dots$ [MR 2405772]