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GD
2001
Springer
15 years 2 months ago
Low-Distortion Embeddings of Trees
We prove that every tree T = (V, E) on n vertices with edges of unit length can be embedded in the plane with distortion O( √ n); that is, we construct a mapping f: V → R2 suc...
Robert Babilon, Jirí Matousek, Jana Maxov&a...
80
Voted
FOCS
2003
IEEE
15 years 3 months ago
Bounded Geometries, Fractals, and Low-Distortion Embeddings
The doubling constant of a metric space (X, d) is the smallest value λ such that every ball in X can be covered by λ balls of half the radius. The doubling dimension of X is the...
Anupam Gupta, Robert Krauthgamer, James R. Lee
STOC
2005
ACM
86views Algorithms» more  STOC 2005»
15 years 10 months ago
Low distortion embeddings for edit distance
Rafail Ostrovsky, Yuval Rabani
96
Voted
DEXA
2009
Springer
153views Database» more  DEXA 2009»
15 years 4 months ago
On Low Distortion Embeddings of Statistical Distance Measures into Low Dimensional Spaces
Arnab Bhattacharya, Purushottam Kar, Manjish Pal