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72
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APPROX
2007
Springer
102views Algorithms» more  APPROX 2007»
15 years 4 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»
15 years 4 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»
15 years 2 months 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»
15 years 4 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
102
Voted
APPROX
2007
Springer
99views Algorithms» more  APPROX 2007»
15 years 4 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