Discrete geometry and algebraic combinatorics : AMS Special Session, Discrete Geometry and Algebraic Combinatorics, January 11, 2013, San Diego, CA
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Bibliographic Information
Discrete geometry and algebraic combinatorics : AMS Special Session, Discrete Geometry and Algebraic Combinatorics, January 11, 2013, San Diego, CA
（Contemporary mathematics, v. 625）
American Mathematical Society, c2014
Available at / 29 libraries
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
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Hokkaido University, Library, Graduate School of Science, Faculty of Science and School of Science数学
U.S.A./2013-D/Proc.2080357333
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Includes bibliographical references
Description and Table of Contents
Description
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.
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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