Tractability and approximability of maximal strip recovery

  • Authors:
  • Laurent Bulteau;Guillaume Fertin;Minghui Jiang;Irena Rusu

  • Affiliations:
  • Laboratoire dInformatique de Nantes-Atlantique (LINA), UMR CNRS 6241 Université de Nantes, 2 rue de la Houssinière, 44322 Nantes Cedex 3, France;Laboratoire dInformatique de Nantes-Atlantique (LINA), UMR CNRS 6241 Université de Nantes, 2 rue de la Houssinière, 44322 Nantes Cedex 3, France;Department of Computer Science, Utah State University, Logan, UT 84322, USA;Laboratoire dInformatique de Nantes-Atlantique (LINA), UMR CNRS 6241 Université de Nantes, 2 rue de la Houssinière, 44322 Nantes Cedex 3, France

  • Venue:
  • Theoretical Computer Science
  • Year:
  • 2012

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Abstract

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 probably 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 2^O^(^d^@d^@?^)poly(nd) time FPT algorithm for @d-gap-MSR-d, a 2.36^kpoly(nd) time FPT algorithm for both CMSR-d and @d-gap-CMSR-d, and a (d+1.5)-approximation algorithm for both CMSR-d and @d-gap-CMSR-d.