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RANDOM
2001
Springer

On Euclidean Embeddings and Bandwidth Minimization

13 years 8 months ago
On Euclidean Embeddings and Bandwidth Minimization
We study Euclidean embeddings of Euclidean metrics and present the following four results: (1) an O(log3 n √ log log n) approximation for minimum bandwidth in conjunction with a semi-definite relaxation, (2) an O(log3 n) approximation in O(nlog n ) time using a new constraint set, (3) a lower bound of Θ( √ log n) on the least possible volume distortion for Euclidean metrics, (4) a new embedding with O( √ log n) distortion of point-to-subset distances.
John Dunagan, Santosh Vempala
Added 30 Jul 2010
Updated 30 Jul 2010
Type Conference
Year 2001
Where RANDOM
Authors John Dunagan, Santosh Vempala
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