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» Complexity of Approximating Closest Substring Problems
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FCT
2003
Springer
13 years 10 months ago
Complexity of Approximating Closest Substring Problems
The closest substring problem, where a short string is sought that minimizes the number of mismatches between it and each of a given set of strings, is a minimization problem with ...
Patricia A. Evans, Andrew D. Smith
FOCS
2005
IEEE
13 years 10 months ago
The Closest Substring problem with small distances
In the CLOSEST SUBSTRING problem k strings s1, ..., sk are given, and the task is to find a string s of length L such that each string si has a consecutive substring of length L ...
Dániel Marx
CPM
2004
Springer
110views Combinatorics» more  CPM 2004»
13 years 10 months ago
On the k-Closest Substring and k-Consensus Pattern Problems
Given a set S = {s1, s2, . . . , sn} of strings each of length m, and an integer L, we study the following two problems. k-Closest Substring problem: find k center strings c1, c2,...
Yishan Jiao, Jingyi Xu, Ming Li
FOCS
2006
IEEE
13 years 11 months ago
On the Optimality of the Dimensionality Reduction Method
We investigate the optimality of (1+ )-approximation algorithms obtained via the dimensionality reduction method. We show that: • Any data structure for the (1 + )-approximate n...
Alexandr Andoni, Piotr Indyk, Mihai Patrascu
FOCS
2005
IEEE
13 years 10 months ago
Hardness of Approximating the Closest Vector Problem with Pre-Processing
d Abstract] Mikhail Alekhnovich ∗ Subhash A. Khot † Guy Kindler ‡ Nisheeth K. Vishnoi § We show that, unless NP⊆DTIME(2poly log(n) ), the closest vector problem with pre-...
Mikhail Alekhnovich, Subhash Khot, Guy Kindler, Ni...