Metric Embeddings - Beyond One-dimensional Distortion
Robert Krauthgamer, Nathan Linial and Avner Magen
EECS Department
University of California, Berkeley
Technical Report No. UCB/CSD-02-1181
May 2002
http://www.eecs.berkeley.edu/Pubs/TechRpts/2002/CSD-02-1181.pdf
Metric spaces and their embeddings have recently played a prominent role in the development of new algorithms. So far, most of the emphasis was on embeddings that preserve pairwise distances. A very intriguing concept introduced by Feige allows us to quantify the extent to which higher-dimensional structures are preserved by a given embedding. We investigate this concept for several basic graph families such as paths, trees, cubes and expanders.
BibTeX citation:
@techreport{Krauthgamer:CSD-02-1181,
Author = {Krauthgamer, Robert and Linial, Nathan and Magen, Avner},
Title = {Metric Embeddings - Beyond One-dimensional Distortion},
Institution = {EECS Department, University of California, Berkeley},
Year = {2002},
Month = {May},
URL = {http://www.eecs.berkeley.edu/Pubs/TechRpts/2002/5663.html},
Number = {UCB/CSD-02-1181}
}
EndNote citation:
%0 Report %A Krauthgamer, Robert %A Linial, Nathan %A Magen, Avner %T Metric Embeddings - Beyond One-dimensional Distortion %I EECS Department, University of California, Berkeley %D 2002 %@ UCB/CSD-02-1181 %U http://www.eecs.berkeley.edu/Pubs/TechRpts/2002/5663.html %F Krauthgamer:CSD-02-1181