Overview

This volume contains the proceedings of the AMS Special Session on Discrete Geometry and Algebraic Combinatorics held on January 11, 2013, in San Diego, California, USA. The collection of articles in this volume is devoted to packings of metric spaces and related questions, and contains new results as well as surveys of some areas of discrete geometry. This volume consists of papers on combinatorics of transportation polytopes, including results on the diameter of graphs of such polytopes; the generalized Steiner problem and related topics of the minimal fillings theory; a survey of distance graphs and graphs of diameters, and a group of papers on applications of algebraic combinatorics to packings of metric spaces including sphere packings and topics in coding theory. In particular, this volume presents a new approach to duality in sphere packing based on the Poisson summation formula, applications of semidefinite programming to spherical codes and equiangular lines, new results in list decoding of a family of algebraic codes, and constructions of bent and semi-bent functions.

Full Product Details

Author:   Alexander Barg ,  Oleg R. Musin
Publisher:   American Mathematical Society
Imprint:   American Mathematical Society
Volume:   625
Weight:   0.300kg
ISBN:  

9781470409050

ISBN 10:   1470409054
Pages:   190
Publication Date:   30 October 2014
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Temporarily unavailable  
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Table of Contents

Plank theorems via successive inradii by K. Bezdek Minimal fillings of finite metric spaces: The state of the art by A. Ivanov and A. Tuzhilin Combinatorics and geometry of transportation polytopes: An update by J. A. De Loera and E. D. Kim A Tree Sperner Lemma by A. Niedermaier, D. Rizzolo, and F. E. Su Cliques and cycles in distance graphs and graphs of diameters by A. M. Raigorodskii New bounds for equiangular lines by A. Barg and W.-H. Yu Formal duality and generalizations of the Poisson summation formula by H. Cohn, A. Kumar, C. Reiher, and A. Schurmann On constructions of semi-bent functions from bent functions by G. Cohen and S. Mesnager Some remarks on multiplicity codes by S. Kopparty Multivariate positive definite functions on spheres by O. R. Musin

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Author Information

Alexander Barg, University of Maryland, College Park, MD, USA. Oleg R. Musin, University of Texas at Brownsville, TX, USA.

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