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Discrete Geometry and Optimization

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Cover of 'Discrete Geometry and Optimization'

Table of Contents

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    Book Overview
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    Chapter 1 Discrete Geometry in Minkowski Spaces
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    Chapter 2 Engineering Branch-and-Cut Algorithms for the Equicut Problem
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    Chapter 3 An Approach to the Dodecahedral Conjecture Based on Bounds for Spherical Codes
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    Chapter 4 On Minimal Tilings with Convex Cells Each Containing a Unit Ball
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    Chapter 5 On Volumes of Permutation Polytopes
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    Chapter 6 Monotone Paths in Planar Convex Subdivisions and Polytopes
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    Chapter 7 Complexity of the Positive Semidefinite Matrix Completion Problem with a Rank Constraint
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    Chapter 8 The Strong Dodecahedral Conjecture and Fejes Tóth’s Conjecture on Sphere Packings with Kissing Number Twelve
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    Chapter 9 Solving Nuclear Norm Regularized and Semidefinite Matrix Least Squares Problems with Linear Equality Constraints
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    Chapter 10 Techniques for Submodular Maximization
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    Chapter 11 A Further Generalization of the Colourful Carathéodory Theorem
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    Chapter 12 Expected Crossing Numbers
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    Chapter 13 EL-Labelings and Canonical Spanning Trees for Subword Complexes
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    Chapter 14 Bandwidth, Vertex Separators, and Eigenvalue Optimization
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    Chapter 15 Exploiting Symmetries in Polyhedral Computations
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    Chapter 16 Conditions for Correct Sensor Network Localization Using SDP Relaxation
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    Chapter 17 A Primal–Dual Smooth Perceptron–von Neumann Algorithm
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    Chapter 18 Selected Open Problems in Discrete Geometry and Optimization
Attention for Chapter 3: An Approach to the Dodecahedral Conjecture Based on Bounds for Spherical Codes
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Chapter title
An Approach to the Dodecahedral Conjecture Based on Bounds for Spherical Codes
Chapter number 3
Book title
Discrete Geometry and Optimization
Published by
Springer, Heidelberg, January 2013
DOI 10.1007/978-3-319-00200-2_3
Book ISBNs
978-3-31-900199-9, 978-3-31-900200-2
Authors

Kurt M. Anstreicher, Anstreicher, Kurt M.

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