Local versus Global Properties of Metric Spaces Extended abstract

Sanjeev Arora*, László Lovászt, Ilan Newman, Yuval Rabani, Yuri Rabinovich, Santosh Vempala

*Corresponding author for this work

Research output: Contribution to conferencePaperpeer-review

11 Scopus citations

Abstract

Motivated by applications in combinatorial optimization, we initiate a study of the extent to which the global properties of a metric space (especially, embeddability in ℓ 1 with low distortion) are determined by the properties of small subspaces. We note connections to similar issues studied already in Ramsey theory, complexity theory (especially PCPs), and property testing. We prove both upper bounds and lower bounds on the distortion of embedding locally constrained metrics into various target spaces.

Original languageEnglish
Pages41-50
Number of pages10
DOIs
StatePublished - 2006
Externally publishedYes
EventSeventeenth Annual ACM-SIAM Symposium on Discrete Algorithms - Miami, FL, United States
Duration: 22 Jan 200624 Jan 2006

Conference

ConferenceSeventeenth Annual ACM-SIAM Symposium on Discrete Algorithms
Country/TerritoryUnited States
CityMiami, FL
Period22/01/0624/01/06

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