Non-approximability of weighted multiple sequence alignment
Manthey, Bodo (2003) Non-approximability of weighted multiple sequence alignment. Theoretical Computer Science, 296 (1). pp. 179-192. ISSN 0304-3975
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|Abstract:||We consider a weighted generalization of multiple sequence alignment (MSA) with sum-of-pair score. MSA without weights is known to be -complete and can be approximated within a constant factor, but it is unknown whether it has a polynomial time approximation scheme. Weighted multiple sequence alignment (WMSA) can be approximated within a factor of O(log2n) where n is the number of sequences.
We prove that WMSA alignment is MAX-hard and establish a numerical lower bound on its approximability, namely . This lower bound is obtained already for the simple binary weighted case where the weights are restricted to 0 and 1. Furthermore, we show that WMSA and its restriction to binary weights can be approximated to the same degree.
|Copyright:||© 2003 Elsevier|
Electrical Engineering, Mathematics and Computer Science (EEMCS)
|Link to this item:||http://purl.utwente.nl/publications/79419|
|Export this item as:||BibTeX|
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