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Trees and Euclidean metrics

  • Nathan Linial*
  • , Avner Magen
  • , Michael E. Saks
  • *Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

15 Scopus citations

Abstract

To study a finite metric space (X,d), an approximation in the form of a metric that is introduced from a norm is needed. The quality of such an approximation is quantified by the distortion of the corresponding embedding. Embedding into Euclidean spaces is discussed including an introduction of the notation c2(X,d) - the least distortion with which (X,d) may be embedded in any Euclidean space.

Original languageEnglish
Title of host publicationProceedings of the 1998 30th Annual ACM Symposium on Theory of Computing
PublisherACM
Pages169-175
Number of pages7
ISBN (Print)9780897919623
DOIs
StatePublished - 1998
Event30th Annual ACM Symposium on the Theory of Computing, STOC 1998 - Dallas, TX, USA
Duration: 23 May 199826 May 1998

Publication series

NameConference Proceedings of the Annual ACM Symposium on Theory of Computing
ISSN (Print)0734-9025

Conference

Conference30th Annual ACM Symposium on the Theory of Computing, STOC 1998
CityDallas, TX, USA
Period23/05/9826/05/98

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