Advances in Metric Ramsey Theory and its Applications (original) (raw)

Some Low Distortion Metric Ramsey Problems

Yair Bartal

Discrete & Computational Geometry, 2005

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Metric spaces are Ramsey

Jaroslav Nešetřil

European Journal of Combinatorics, 2007

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Optimal Embeddings of Finite Metric Spaces Into Graphs

Ayse Humeyra Bilge

Anadolu Üniversitesi Bilim Ve Teknoloji Dergisi - B Teorik Bilimler, 2015

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The Metric Bridge Partition Problem: Partitioning of a Metric Space into Two Subspaces Linked by an Edge in Any Optimal Realization

Sacha Varone, Alain Hertz

Journal of Classification, 2007

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Ramsey partitions of metric spaces

Jonathan Verner

arXiv (Cornell University), 2022

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On optimal embeddings of metrics in graphs

Wilfried Imrich, Christina Zamfirescu

Journal of Combinatorial Theory, 1984

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Injective optimal realizations of finite metric spaces

Jack Koolen

Discrete Mathematics, 2012

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Covering Metric Spaces by Few Trees

Yair Bartal

2019

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Advances in metric embedding theory

Ofer Neimany, Yair Bartal

Advances in Mathematics, 2011

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Embedding Finite Metric Spaces in Low Dimension

Yair Bartal

2006

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Metric Embeddings with Relaxed Guarantees

Anupam Gupta

2005

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On embeddings of finite metric spaces

Gabor Sagi

2015 IEEE 13th International Scientific Conference on Informatics, 2015

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On the geometry of metrics embeddable in the real line

Adam Letchford

arXiv (Cornell University), 2007

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Probabilistic approximation of metric spaces and its algorithmic applications

Yair Bartal

… of Computer Science, 1996. Proceedings., 37th …, 1996

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Explicit Ramsey graphs and Erdos distance problem over finite Euclidean and non-Euclidean spaces

Le Vinh

The Electronic Journal of Combinatorics, 2007

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Advances in Metric Embedding Theory Extended

Yair Bartal

2006

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Inapproximability for metric embeddings into mathbbRd\mathbb{R}^{d}mathbbRd

Anastasios Sidiropoulos

Transactions of the American Mathematical Society, 2010

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ON EMBEDDINGS OF FINITE METRIC SPACES IN l n ∞

Fedor Petrov

Mathematika, 2009

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Embedding Approximately Low-Dimensional 2 2 Metrics into 1

Amit Deshpande

2016

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A de Bruijn - Erdos theorem and metric spaces

Vasek Chvatal

Discrete Mathematics & Theoretical Computer Science

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Embedding metric spaces in their intrinsic dimension

Yair Bartal

… of the nineteenth annual ACM-SIAM …, 2008

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Low-distortion embeddings of infinite metric spaces into the real line

Stefan Geschke

Annals of Pure and Applied Logic, 2009

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Compatible decompositions and block realizations of finite metrics

Jack Koolen

European Journal of Combinatorics, 2008

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Optimal realisations of two-dimensional, totally-decomposable metrics

Jack Koolen

2011

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Hypercube embedding of generalized bipartite metrics

Michel Deza

Discrete Applied Mathematics, 1995

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Conant's generalised metric spaces are Ramsey

Jaroslav Nešetřil

2017

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Ramsey expansions of metrically homogeneous graphs

David Bradley-Williams

ArXiv, 2017

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Construction and Simulation of a Class of Random Metrics on Finite Metric Spaces

Mostafa Zahri

2012

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On Embedding of Finite Metric Spaces into Hilbert Space

Yair Bartal

2005

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Practical Construction of k-Nearest Neighbor Graphs in Metric Spaces

Rodrigo Paredes

Lecture Notes in Computer Science, 2006

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Topology Proceedings A CONSTRUCTION METHOD FOR PARTIAL METRICS

Dieter Spreen

2008

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Approximation algorithms for embedding general metrics into trees

Anastasios Sidiropoulos

2007

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