Robert Krauthgamer and Nathan Linial and Avner Magen

EECS Department, University of California, Berkeley

Technical Report No. UCB/CSD-02-1181

2002

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.

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BibTeX citation:

@techreport{Krauthgamer:CSD-02-1181,
    Author= {Krauthgamer, Robert and Linial, Nathan and Magen, Avner},
    Title= {Metric Embeddings - Beyond One-dimensional Distortion},
    Year= {2002},
    Month= {May},
    Url= {http://www2.eecs.berkeley.edu/Pubs/TechRpts/2002/5663.html},
    Number= {UCB/CSD-02-1181},
    Abstract= {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.},
}

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://www2.eecs.berkeley.edu/Pubs/TechRpts/2002/5663.html
%F Krauthgamer:CSD-02-1181