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» Complexity of Approximating Closest Substring Problems
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FCT
2003
Springer
13 years 10 months ago
On Exact and Approximation Algorithms for Distinguishing Substring Selection
Abstract. The NP-complete Distinguishing Substring Selection problem (DSSS for short) asks, given a set of “good” strings and a set of “bad” strings, for a solution string ...
Jens Gramm, Jiong Guo, Rolf Niedermeier
RECOMB
2006
Springer
14 years 5 months ago
Efficient Enumeration of Phylogenetically Informative Substrings
We study the problem of enumerating substrings that are common amongst genomes that share evolutionary descent. For example, one might want to enumerate all identical (therefore co...
Stanislav Angelov, Boulos Harb, Sampath Kannan, Sa...
SPIRE
2010
Springer
13 years 3 months ago
Why Large Closest String Instances Are Easy to Solve in Practice
We initiate the study of the smoothed complexity of the Closest String problem by proposing a semi-random model of Hamming distance. We restrict interest to the optimization versio...
Christina Boucher, Kathleen Wilkie
MST
2006
149views more  MST 2006»
13 years 5 months ago
Parameterized Intractability of Distinguishing Substring Selection
A central question in computational biology is the design of genetic markers to distinguish between two given sets of (DNA) sequences. This question is formalized as the NP-comple...
Jens Gramm, Jiong Guo, Rolf Niedermeier
FOCS
2004
IEEE
13 years 9 months ago
Hardness of Approximating the Shortest Vector Problem in Lattices
Let p > 1 be any fixed real. We show that assuming NP RP, there is no polynomial time algorithm that approximates the Shortest Vector Problem (SVP) in p norm within a constant ...
Subhash Khot