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APPROX
2007
Springer
102views Algorithms» more  APPROX 2007»
14 years 2 months ago
Hardness of Embedding Metric Spaces of Equal Size
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...
Subhash Khot, Rishi Saket
APPROX
2007
Springer
88views Algorithms» more  APPROX 2007»
14 years 2 months ago
Derandomization of Euclidean Random Walks
We consider the problem of derandomizing random walks in the Euclidean space Rk . We show that for k = 2, and in some cases in higher dimensions, such walks can be simulated in Lo...
Ilia Binder, Mark Braverman
APPROX
2007
Springer
80views Algorithms» more  APPROX 2007»
14 years 17 days ago
Coarse Differentiation and Multi-flows in Planar Graphs
We show that the multi-commodity max-flow/min-cut gap for series-parallel graphs can be as bad as 2, matching a recent upper bound [8] for this class, and resolving one side of a ...
James R. Lee, Prasad Raghavendra
APPROX
2007
Springer
67views Algorithms» more  APPROX 2007»
14 years 2 months ago
Maximum Gradient Embeddings and Monotone Clustering
abstract Manor Mendel1 and Assaf Naor2 1 The Open University of Israel 2 Courant Institute Let (X, dX ) be an n-point metric space. We show that there exists a distribution D over ...
Manor Mendel, Assaf Naor
APPROX
2007
Springer
99views Algorithms» more  APPROX 2007»
14 years 2 months ago
Small Approximate Pareto Sets for Bi-objective Shortest Paths and Other Problems
We investigate the problem of computing a minimum set of solutions that approximates within a specified accuracy the Pareto curve of a multiobjective optimization problem. We show...
Ilias Diakonikolas, Mihalis Yannakakis