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Integer points in polyhedra--geometry, number theory, representation theory, algebra, optimization, statistics; proceedings.

9780821841730

Integer points in polyhedra--geometry, number theory, representation theory, algebra, optimization, statistics; proceedings.

AMS-IMS-SIAM Joint Summer Research Conference (2006: Snowbird, Utah) Ed. by Matthias Beck et al.

American Mathematical Society

2008

187 pages

$59.00

Paperback

Contemporary mathematics; v.452

QA174

Research and survey articles from a June 2006 conference highlight recent advances related to lattice-point questions. Some specific topics explored include lattice reformulation of integer programming problems, Ehrhart polynomial roots and Stanley's non-negativity theorem, enumeration of integer solutions to linear inequalities defined by digraphs, and perfect Delaunay polytopes and perfect quadratic functions on lattices. The book is suitable for researchers and graduate students interested in combinatorial aspects of commutative algebra, optimization, discrete geometry, statistics, mirror symmetry, and geometry of numbers.

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Publication:SciTech Book News
Article Type:Book Review
Date:Jun 1, 2008
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