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.
| ISBN: | 9781470409050 |
| Publication date: | 30th October 2014 |
| Author: | Alexander Barg, O R Musin |
| Publisher: | American Mathematical Society |
| Format: | Paperback |
| Pagination: | 190 pages |
| Series: | Contemporary Mathematics |
| Genres: |
Discrete mathematics Combinatorics and graph theory |
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.
Discrete Geometry and Algebraic Combinatorics features in the following genres: Discrete mathematics, Combinatorics and graph theory
Paperback. Not Available.
Discrete Geometry and Algebraic Combinatorics was written by Alexander Barg, O R Musin and published by American Mathematical Society
Discrete Geometry and Algebraic Combinatorics has 190 pages
Yes it is part of Contemporary Mathematics series