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» Complexity of Approximating Closest Substring Problems
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FCT
2003
Springer
14 years 22 days 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
14 years 1 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»
14 years 28 days 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
14 years 1 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
14 years 1 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...