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CORR
2000
Springer
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13 years 11 months ago
On The Closest String and Substring Problems
Abstract. The problem of finding a center string that is "close" to every given string arises in computational molecular biology and coding theory. This problem has two v...
Ming Li, Bin Ma, Lusheng Wang
SIAMCOMP
2008
121views more  SIAMCOMP 2008»
13 years 11 months ago
Closest Substring Problems with Small Distances
We study two pattern matching problems that are motivated by applications in computational biology. In the Closest Substring problem k strings s1, . . ., sk are given, and the tas...
Dániel Marx
FCT
2003
Springer
14 years 4 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
14 years 5 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
FOCS
2006
IEEE
14 years 5 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