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APPROX
2005
Springer
79views Algorithms» more  APPROX 2005»
14 years 3 months ago
Reconstructive Dispersers and Hitting Set Generators
Abstract. We give a generic construction of an optimal hitting set generator (HSG) from any good “reconstructive” disperser. Past constructions of optimal HSGs have been based ...
Christopher Umans
APPROX
2005
Springer
88views Algorithms» more  APPROX 2005»
14 years 3 months ago
Approximating the Best-Fit Tree Under Lp Norms
Abstract. We consider the problem of fitting an n × n distance matrix M by a tree metric T. We give a factor O(min{n1/p , (k log n)1/p }) approximation algorithm for finding the...
Boulos Harb, Sampath Kannan, Andrew McGregor
APPROX
2005
Springer
111views Algorithms» more  APPROX 2005»
14 years 3 months ago
A Lower Bound on List Size for List Decoding
A q-ary error-correcting code C ⊆ {1, 2, . . . , q}n is said to be list decodable to radius ρ with list size L if every Hamming ball of radius ρ contains at most L codewords o...
Venkatesan Guruswami, Salil P. Vadhan
APPROX
2005
Springer
106views Algorithms» more  APPROX 2005»
14 years 3 months ago
Derandomized Constructions of k-Wise (Almost) Independent Permutations
Constructions of k-wise almost independent permutations have been receiving a growing amount of attention in recent years. However, unlike the case of k-wise independent functions...
Eyal Kaplan, Moni Naor, Omer Reingold
APPROX
2009
Springer
96views Algorithms» more  APPROX 2009»
14 years 4 months ago
On the Optimality of Gluing over Scales
We show that for every α > 0, there exist n-point metric spaces (X, d) where every “scale” admits a Euclidean embedding with distortion at most α, but the whole space req...
Alexander Jaffe, James R. Lee, Mohammad Moharrami