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FOCS
2007
IEEE
14 years 4 months ago
Local Global Tradeoffs in Metric Embeddings
Suppose that every k points in a n point metric space X are D-distortion embed
Moses Charikar, Konstantin Makarychev, Yury Makary...
STOC
2003
ACM
130views Algorithms» more  STOC 2003»
15 years 23 days ago
A tight bound on approximating arbitrary metrics by tree metrics
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 ...
Jittat Fakcharoenphol, Satish Rao, Kunal Talwar
STOC
2003
ACM
102views Algorithms» more  STOC 2003»
15 years 23 days ago
On metric ramsey-type phenomena
The main question studied in this article may be viewed as a nonlinear analogue of Dvoretzky's theorem in Banach space theory or as part of Ramsey theory in combinatorics. Gi...
Yair Bartal, Nathan Linial, Manor Mendel, Assaf Na...