31 search results - page 2 / 7 » Approximating Additive Distortion of Embeddings into Line Me... |
IPL
2008
13 years 5 months ago
2008
In this paper, we show how we can derive lower bounds and also compute the exact distortion for the line embeddings of some special metrics, especially trees and graphs with certai...
COMPGEOM
2006
ACM
13 years 11 months ago
2006
ACM
We study the problem of minimum-distortion embedding of ultrametrics into the plane and higher dimensional spaces. Ultrametrics are a natural class of metrics that frequently occu...
APPROX
2007
Springer
13 years 11 months ago
2007
Springer
Abstract. We study the problem embedding an n-point metric space into another n-point metric space while minimizing distortion. We show that there is no polynomial time algorithm t...
STOC
2003
ACM
14 years 5 months ago
2003
ACM
In this paper, we show that any n point metric space can be embedded into a distribution over dominating tree metrics such that the expected stretch of any edge is O(log n). This ...
RANDOM
2001
Springer
13 years 9 months ago
2001
Springer
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 ...