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» Advances in metric embedding theory
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STOC
2006
ACM
140views Algorithms» more  STOC 2006»
14 years 11 months ago
Advances in metric embedding theory
Ittai Abraham, Yair Bartal, Ofer Neiman
EUSFLAT
2007
105views Fuzzy Logic» more  EUSFLAT 2007»
14 years 10 days ago
Fuzzy Class Theory: Some Advanced Topics
The goal of this paper is to push forward the development of the apparatus of the Fuzzy Class theory. We concentrate on three areas: strengthening the universal quantifier, forma...
Petr Cintula, Rostislav Horcík
STOC
2003
ACM
130views Algorithms» more  STOC 2003»
14 years 11 months 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
2004
ACM
126views Algorithms» more  STOC 2004»
14 years 11 months ago
Bypassing the embedding: algorithms for low dimensional metrics
The doubling dimension of a metric is the smallest k such that any ball of radius 2r can be covered using 2k balls of raThis concept for abstract metrics has been proposed as a na...
Kunal Talwar
COMPGEOM
2006
ACM
14 years 4 months ago
Plane embeddings of planar graph metrics
Embedding metrics into constant-dimensional geometric spaces, such as the Euclidean plane, is relatively poorly understood. Motivated by applications in visualization, ad-hoc netw...
MohammadHossein Bateni, Mohammad Taghi Hajiaghayi,...