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TALG
2008

Embeddings of negative-type metrics and an improved approximation to generalized sparsest cut

13 years 10 months ago
Embeddings of negative-type metrics and an improved approximation to generalized sparsest cut
In this paper, we study the metrics of negative type, which are metrics (V, d) such that d is an Euclidean metric; these metrics are thus also known as " 2-squared" metrics. We show how to embed n-point negative-type metrics into Euclidean space 2 with distortion D = O(log3/4 n). This embedding result, in turn, implies an O(log3/4 k)-approximation algorithm for the Sparsest Cut problem with non-uniform demands. Another corollary we obtain is that n-point subsets of 1 embed into 2 with distortion O(log3/4 n).
Shuchi Chawla, Anupam Gupta, Harald Räcke
Added 15 Dec 2010
Updated 15 Dec 2010
Type Journal
Year 2008
Where TALG
Authors Shuchi Chawla, Anupam Gupta, Harald Räcke
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