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Geometry of Cuts and Metrics

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Cover of 'Geometry of Cuts and Metrics'

Table of Contents

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    Book Overview
  2. Altmetric Badge
    Chapter 1 Outline of the Book
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    Chapter 2 Basic Definitions
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    Chapter 3 Preliminaries on Distances
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    Chapter 4 The Cut Cone and ℓ 1 -Metrics
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    Chapter 5 The Correlation Cone and {0,1}-Covariances
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    Chapter 6 Conditions for L 1 -Embeddability
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    Chapter 7 Operations
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    Chapter 8 L 1 -Metrics from Lattices, Semigroups and Normed Spaces
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    Chapter 9 Metric Transforms of L 1 -Spaces
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    Chapter 10 Lipschitz Embeddings
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    Chapter 11 Dimensionality Questions for ℓ 1 -Embeddings
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    Chapter 12 Examples of the Use of the L 1 -Metric
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    Chapter 13 Preliminaries on Lattices
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    Chapter 14 Hypermetrics and Delaunay Polytopes
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    Chapter 15 Delaunay Polytopes: Rank and Hypermetric Faces
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    Chapter 16 Extreme Delaunay Polytopes
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    Chapter 17 Hypermetric Graphs
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    Chapter 18 Preliminaries on Graphs
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    Chapter 19 Isometric Embeddings of Graphs into Hypercubes
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    Chapter 20 Isometric Embeddings of Graphs into Cartesian Products
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    Chapter 21 ℓ 1 -Graphs
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    Chapter 22 Rigidity of the Equidistant Metric
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    Chapter 23 Hypercube Embeddings of the Equidistant Metric
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    Chapter 24 Recognition of Hypercube Embeddable Metrics
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    Chapter 25 Cut Lattices, Quasi h -Distances and Hilbert Bases
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    Chapter 26 Operations on Valid Inequalities and Facets
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    Chapter 27 Triangle Inequalities
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    Chapter 28 Hypermetric Inequalities
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    Chapter 29 Clique-Web Inequalities
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    Chapter 30 Other Valid Inequalities and Facets
  32. Altmetric Badge
    Chapter 31 Geometric Properties
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Title
Geometry of Cuts and Metrics
Published by
Springer Berlin Heidelberg, January 2010
DOI 10.1007/978-3-642-04295-9
ISBNs
978-3-64-204295-9, 978-3-64-204294-2
Authors

Deza, Michel Marie, Laurent, Monique

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The data shown below were compiled from readership statistics for 2 Mendeley readers of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
Unknown 2 100%

Demographic breakdown

Readers by professional status Count As %
Professor > Associate Professor 1 50%
Lecturer 1 50%
Readers by discipline Count As %
Mathematics 1 50%
Agricultural and Biological Sciences 1 50%