Fixed topology alignment with recombination

In this paper, we study a new version of multiple sequence alignment, fixed topology alignment with recombination. We show that it cannot be approximated within any constant ratio unless P=NP. For a restricted version, we show that the problem is MAX-SNP-hard. This implies that there is no PTAS for...

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Bibliographic Details
Published inDiscrete Applied Mathematics Vol. 104; no. 1; pp. 281 - 300
Main Authors Wang, Lusheng, Ma, Bin, Li, Ming
Format Journal Article
LanguageEnglish
Published Elsevier B.V 15.08.2000
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ISSN0166-218X
1872-6771
DOI10.1016/S0166-218X(00)00196-7

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Summary:In this paper, we study a new version of multiple sequence alignment, fixed topology alignment with recombination. We show that it cannot be approximated within any constant ratio unless P=NP. For a restricted version, we show that the problem is MAX-SNP-hard. This implies that there is no PTAS for this version unless P=NP. We also propose approximation algorithms for a special case, where each internal node has at most one recombination child and any two merge paths for different recombination nodes do not share any common node.
ISSN:0166-218X
1872-6771
DOI:10.1016/S0166-218X(00)00196-7