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The hypermetric cone is polyhedral

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1002/net.3230210602openalex-snapshot
The cut cone, L1 embeddability, complexity, and multicommodity flows
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O. M. Nikodým, The Mathematical Apparatus for Quantum‐Theories. (Die Grundlehren der mathematischen Wissenschaften in Einzeldarstellungen, Band 129) X + 952 S. Berlin/Heidelberg/New York 1966. Springer‐Verlag. Preis geb. DM 144,–
inferredcites →https://doi.org/10.1007/978-1-4757-2016-7openalex-snapshot
Sphere Packings, Lattices and Groups
inferredcites →https://doi.org/10.1007/978-3-642-62035-5openalex-snapshot
An Introduction to the Geometry of Numbers
inferredcites →https://doi.org/10.1007/bf01193107openalex-snapshot
�ber zwei Probleme bez�glich konvexer K�rper von P. Erd�s und von V. L. Klee
inferredcites →https://doi.org/10.1007/bf01580897openalex-snapshot
Facets for the cut cone I
inferredcites →https://doi.org/10.1007/bf01580898openalex-snapshot
Facets for the cut cone II: Clique-web inequalities
inferredcites →https://doi.org/10.1007/bf01788552openalex-snapshot
The classification of finite connected hypermetric spaces
inferredcites →https://doi.org/10.1007/bfb0081128openalex-snapshot
Hypermetric spaces
inferredcites →https://doi.org/10.1016/0195-6698(92)90021-qopenalex-snapshot
Computing extreme rays of the metric cone for seven points
inferredcites →https://doi.org/10.1016/s0167-5060(08)70874-4openalex-snapshot
Espaces Métriques Plongeables Dans Un Hypercube: Aspects Combinatoires
inferredcites →https://doi.org/10.1016/s0195-6698(84)80022-0openalex-snapshot
Sur les Inégalités Valides dans L1
inferredcites →https://doi.org/10.1016/s0195-6698(89)80002-2openalex-snapshot
All the Facets of the Six-point Hamming Cone
inferredcites →https://doi.org/10.1515/crll.1908.134.198openalex-snapshot
Nouvelles applications des paramètres continus à la théorie des formes quadratiques. Deuxième mémoire. Recherches sur les parallélloèdres primitifs.
inferredcites →https://doi.org/10.2307/2323992openalex-snapshot
Sphere Packings, Lattices and Groups.
inferredcites →https://doi.org/10.4153/cjm-1980-010-0openalex-snapshot
On the Extreme Rays of the Metric Cone
inferredcites →https://doi.org/10.4153/cjm-1987-039-7openalex-snapshot
The Empty Sphere
inferredcites →https://doi.org/10.4213/mzmopenalex-snapshot
Математические заметки

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.1007/978-3-031-04520-2_4openalex-snapshot
The Boolean Quadric Polytope
inferred← citeshttps://doi.org/10.1007/978-3-0348-8201-9_30openalex-snapshot
The Median Extension of Data Analysis Metric Structures
inferred← citeshttps://doi.org/10.1007/978-3-540-44400-8_6openalex-snapshot
On the Complexity of Testing Hypermetric, Negative Type, k-Gonal and Gap Inequalities
inferred← citeshttps://doi.org/10.1007/978-3-540-68279-0_18openalex-snapshot
Semidefinite Relaxations for Integer Programming
inferred← citeshttps://doi.org/10.1007/978-3-540-68891-4_9openalex-snapshot
Binary Positive Semidefinite Matrices and Associated Integer Polytopes
inferred← citeshttps://doi.org/10.1007/bf00186527openalex-snapshot
Delaunay transformations of a Delaunay polytope
inferred← citeshttps://doi.org/10.1007/bf01580072openalex-snapshot
Solving quadratic (0,1)-problems by semidefinite programs and cutting planes
inferred← citeshttps://doi.org/10.1007/bf01580897openalex-snapshot
Facets for the cut cone I
inferred← citeshttps://doi.org/10.1007/bf01580898openalex-snapshot
Facets for the cut cone II: Clique-web inequalities
inferred← citeshttps://doi.org/10.1007/bf02574028openalex-snapshot
Lattice-free polytopes and their diameter
inferred← citeshttps://doi.org/10.1007/s10107-003-0423-5openalex-snapshot
Stronger linear programming relaxations of max-cut
inferred← citeshttps://doi.org/10.1007/s10107-010-0352-zopenalex-snapshot
Binary positive semidefinite matrices and associated integer polytopes
inferred← citeshttps://doi.org/10.1007/s10288-012-0210-3openalex-snapshot
Semidefinite relaxations for partitioning, assignment and ordering problems
inferred← citeshttps://doi.org/10.1007/s10479-015-2015-1openalex-snapshot
Semidefinite relaxations for partitioning, assignment and ordering problems
inferred← citeshttps://doi.org/10.1016/0377-0427(94)90020-5openalex-snapshot
Applications of cut polyhedra — I
inferred← citeshttps://doi.org/10.1016/0377-0427(94)90021-3openalex-snapshot
Applications of cut polyhedra — II
inferred← citeshttps://doi.org/10.1016/b978-044488002-4/50043-9openalex-snapshot
10.1016/b978-044488002-4/50043-9
inferred← citeshttps://doi.org/10.1016/j.ejc.2003.07.004openalex-snapshot
The six-dimensional Delaunay polytopes
inferred← citeshttps://doi.org/10.1016/j.jmva.2018.07.014openalex-snapshot
Membership testing for Bernoulli and tail-dependence matrices
inferred← citeshttps://doi.org/10.1016/j.laa.2010.06.038openalex-snapshot
On a class of metrics related to graph layout problems
inferred← citeshttps://doi.org/10.1016/j.orl.2012.01.010openalex-snapshot
Complexity results for the gap inequalities for the max-cut problem
inferred← citeshttps://doi.org/10.1016/s0024-3795(97)00242-5openalex-snapshot
Finite metric spaces of strictly negative type
inferred← citeshttps://doi.org/10.1016/s0168-9274(98)00097-xopenalex-snapshot
Semidefinite programming and combinatorial optimization
inferred← citeshttps://doi.org/10.1023/a:1014803008920openalex-snapshot
Affine Types of $$L $$ -Polyhedra for $$5 $$ -lattices
inferred← citeshttps://doi.org/10.1023/a:1022436313513openalex-snapshot
Delaunay Transformations of a Delaunay Polytope
inferred← citeshttps://doi.org/10.1080/01966324.2002.10737587openalex-snapshot
Small Cones of Oriented Semi-Metrics
inferred← citeshttps://doi.org/10.1080/10586458.2003.10504511openalex-snapshot
The Hypermetric Cone on Seven Vertices
inferred← citeshttps://doi.org/10.1137/0805024openalex-snapshot
Nonpolyhedral Relaxations of Graph-Bisection Problems
inferred← citeshttps://doi.org/10.1142/9789814366311_0012openalex-snapshot
Cones of Weighted and Partial Metrics
inferred← citeshttps://doi.org/10.3138/infor.53.1.40openalex-snapshot
A Hierarchy of Subgraph Projection-Based Semidefinite Relaxations for Some NP-Hard Graph Optimization Problems
inferred← citeshttps://doi.org/10.4213/mzm356openalex-snapshot
Аффинные типы $L$-многогранников 5-мерных решеток
inferred← citeshttps://doi.org/10.48550/arxiv.0709.0910openalex-snapshot
On a class of metrics related to graph layout problems
inferred← citeshttps://doi.org/10.48550/arxiv.0905.4555openalex-snapshot
Perfect but not generating Delaunay polytopes
inferred← citeshttps://doi.org/10.48550/arxiv.math/0108177openalex-snapshot
The hypermetric cone on seven vertices
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