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Discrete Geometry and Algebraic Combinatorics
 
Edited by: Alexander Barg University of Maryland, College Park, MD
Oleg R. Musin University of Texas at Brownsville, Brownsville, TX
Discrete Geometry and Algebraic Combinatorics
Softcover ISBN:  978-1-4704-0905-0
Product Code:  CONM/625
List Price: $130.00
MAA Member Price: $117.00
AMS Member Price: $104.00
eBook ISBN:  978-1-4704-1949-3
Product Code:  CONM/625.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Softcover ISBN:  978-1-4704-0905-0
eBook: ISBN:  978-1-4704-1949-3
Product Code:  CONM/625.B
List Price: $255.00 $192.50
MAA Member Price: $229.50 $173.25
AMS Member Price: $204.00 $154.00
Discrete Geometry and Algebraic Combinatorics
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Discrete Geometry and Algebraic Combinatorics
Edited by: Alexander Barg University of Maryland, College Park, MD
Oleg R. Musin University of Texas at Brownsville, Brownsville, TX
Softcover ISBN:  978-1-4704-0905-0
Product Code:  CONM/625
List Price: $130.00
MAA Member Price: $117.00
AMS Member Price: $104.00
eBook ISBN:  978-1-4704-1949-3
Product Code:  CONM/625.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Softcover ISBN:  978-1-4704-0905-0
eBook ISBN:  978-1-4704-1949-3
Product Code:  CONM/625.B
List Price: $255.00 $192.50
MAA Member Price: $229.50 $173.25
AMS Member Price: $204.00 $154.00
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 6252014; 190 pp
    MSC: Primary 52; 05; 37; 94; 58;

    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.

    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.

    Readership

    Graduate students and research mathematicians interested in discrete geometry, sphere packing, coding theory, and semidefinite programming.

  • Table of Contents
     
     
    • Articles
    • Károly Bezdek — Plank theorems via successive inradii
    • Alexandr Ivanov and Alexey Tuzhilin — Minimal fillings of finite metric spaces: The state of the art
    • Jesús A. De Loera and Edward D. Kim — Combinatorics and geometry of transportation polytopes: An update
    • Andrew Niedermaier, Douglas Rizzolo and Francis Edward Su — A Tree Sperner Lemma
    • Andrei M. Raigorodskii — Cliques and cycles in distance graphs and graphs of diameters
    • Alexander Barg and Wei-Hsuan Yu — New bounds for equiangular lines
    • Henry Cohn, Abhinav Kumar, Christian Reiher and Achill Schürmann — Formal duality and generalizations of the Poisson summation formula
    • Gérard Cohen and Sihem Mesnager — On constructions of semi-bent functions from bent functions
    • Swastik Kopparty — Some remarks on multiplicity codes
    • Oleg R. Musin — Multivariate positive definite functions on spheres
  • Additional Material
     
     
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 6252014; 190 pp
MSC: Primary 52; 05; 37; 94; 58;

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.

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.

Readership

Graduate students and research mathematicians interested in discrete geometry, sphere packing, coding theory, and semidefinite programming.

  • Articles
  • Károly Bezdek — Plank theorems via successive inradii
  • Alexandr Ivanov and Alexey Tuzhilin — Minimal fillings of finite metric spaces: The state of the art
  • Jesús A. De Loera and Edward D. Kim — Combinatorics and geometry of transportation polytopes: An update
  • Andrew Niedermaier, Douglas Rizzolo and Francis Edward Su — A Tree Sperner Lemma
  • Andrei M. Raigorodskii — Cliques and cycles in distance graphs and graphs of diameters
  • Alexander Barg and Wei-Hsuan Yu — New bounds for equiangular lines
  • Henry Cohn, Abhinav Kumar, Christian Reiher and Achill Schürmann — Formal duality and generalizations of the Poisson summation formula
  • Gérard Cohen and Sihem Mesnager — On constructions of semi-bent functions from bent functions
  • Swastik Kopparty — Some remarks on multiplicity codes
  • Oleg R. Musin — Multivariate positive definite functions on spheres
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.