Fréchet Embeddings of Negative Type Metrics

Author:

Arora Sanjeev,Lee James R.,Naor Assaf

Publisher

Springer Science and Business Media LLC

Subject

Computational Theory and Mathematics,Discrete Mathematics and Combinatorics,Geometry and Topology,Theoretical Computer Science

Reference17 articles.

1. Arora, S., Lee, J.R., Naor, A.: Euclidean distortion and the sparsest cut. J. Am. Math. Soc. (to appear)

2. Arora, S., Rao, S., Vazirani, U.: Expander flows, geometric embeddings, and graph partitionings. In: 36th Annual Symposium on the Theory of Computing, pp. 222–231. ACM, New York (2004)

3. Bartal, Y.: Probabilistic approximations of metric space and its algorithmic application. In: 37th Annual Symposium on Foundations of Computer Science, pp. 183–193. IEEE Comput. Soc. Press, Los Alamitos, CA (1996)

4. Bartal, Y., Linial, N., Mendel, M., Naor, A.: On metric Ramsey-type phenomena. Ann. Math. (2) 162(2), 643–709 (2005)

5. Bartal, Y., Linial, N., Mendel, M., Naor, A.: Limitations to Fréchet’s metric embedding method. Israel J. Math. 151, 111–124 (2006)

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1. Terminal embeddings;Theoretical Computer Science;2017-10

2. Metric extension operators, vertex sparsifiers and Lipschitz extendability;Israel Journal of Mathematics;2016-05

3. The Unique Games Conjecture, Integrality Gap for Cut Problems and Embeddability of Negative-Type Metrics into ℓ 1;Journal of the ACM;2015-03-02

4. On a class of metrics related to graph layout problems;Linear Algebra and its Applications;2010-12

5. Metric Extension Operators, Vertex Sparsifiers and Lipschitz Extendability;2010 IEEE 51st Annual Symposium on Foundations of Computer Science;2010-10

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