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Theoretical Computer Science 440-441 (2012) 14-28
Tractability and approximability of maximal strip recovery
Laurent Bulteau 1, Guillaume Fertin 1, Minghui Jiang ( ) 2, Irena Rusu 1
LINA-COMBI Collaboration(s)
(22/05/2012)

An essential task in comparative genomics is to decompose two or more genomes into synteny blocks that are segments of chromosomes with similar contents. Given a set of d genomic maps each containing the same n markers without duplicates, the problem MAXIMAL STRIP RECOVERY (MSR) aims at finding a decomposition of the genomic maps into synteny blocks (strips) of the maximum total length ', by deleting the minimum number k = n' of markers which are likely noise and ambiguities. In this paper, we present a collection of new or improved FPT and approximation algorithms for MSR and its variants. Our main results include a 2O(d ')poly(nd) time FPT algorithm for -gap-MSR-d, a 2:36kpoly(nd) time FPT algorithm for both CMSR-d and -gap-CMSR-d, and a (d+1:5)-approximation algorithm for both CMSR-d and -gap-CMSR-d.
1 :  Laboratoire d'Informatique de Nantes Atlantique (LINA)
CNRS : UMR6241 – Université de Nantes – École Nationale Supérieure des Mines - Nantes
2 :  Department of Computer Science Utah State University
Utah State University
Department of Computer Science Utah State University
Informatique/Complexité

Informatique/Bio-informatique

Sciences du Vivant/Bio-Informatique, Biologie Systémique
Bioinformatics – Comparative genomics – Synteny blocks – Approximation algorithms – Parameterized complexity
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