Integer points in polyhedra : geometry, number theory, representation theory, algebra, optimization, statistics : AMS-IMS-SIAM Joint Summer Research Conference, June 11-15, 2006, Snowbird, Utah

書誌事項

Integer points in polyhedra : geometry, number theory, representation theory, algebra, optimization, statistics : AMS-IMS-SIAM Joint Summer Research Conference, June 11-15, 2006, Snowbird, Utah

Matthias Beck ... [et al.], editors

(Contemporary mathematics, 452)

American Mathematical Society, c2008

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注記

Includes bibliographical references

内容説明・目次

内容説明

The AMS-IMS-SIAM Joint Summer Research Conference ""Integer Points in Polyhedra"" was held in Snowbird, Utah in June 2006. This proceedings volume contains research and survey articles originating from the conference.

目次

Lattice reformulation of integer programming problems by K. Aardal Local Euler-Maclaurin expansion of Barvinok valuations and Ehrhart coefficients of a rational polytope by V. Baldoni, N. Berline, and M. Vergne Combinatorial aspects of mirror symmetry by V. Batyrev and B. Nill Ehrhart polynomial roots and Stanley's non-negativity theorem by B. Braun and M. Develin Enumeration of integer solutions to linear inequalities defined by digraphs by J. W. Davis, E. D'Souza, S. Lee, and C. D. Savage Perfect Delaunay polytopes and perfect quadratic functions on lattices by R. Erdahl, A. Ordine, and K. Rybnikov Quasi-period collapse and $GL_n(\mathbb{Z})$-scissors congruence in rational polytopes by C. Haase and T. B. McAllister Quadratic Grobner bases arising from combinatorics by H. Ohsugi and T. Hibi Ehrhart analogue of the $h$-vector by K. Karu Saturation points on faces of a rational polyhedral cone by A. Takemura and R. Yoshida An explicit formulation for two dimensional vector partition functions by Z. Xu Let me tell you my favorite lattice-point problem... by M. Beck, B. Nill, B. Reznick, C. Savage, I. Soprunov, and Z. Xu.

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