title: An asymmetric approach to preserve common intervals while sorting by reversals.
abstract: BACKGROUND
  The reversal distance and optimal sequences of reversals to transform a genome into another are useful tools to analyse evolutionary scenarios. However, the number of sequences is huge and some additional criteria should be used to obtain a more accurate analysis. One strategy is searching for sequences that respect constraints, such as the common intervals (clusters of co-localised genes). Another approach is to explore the whole space of sorting sequences, eventually grouping them into classes of equivalence. Recently both strategies started to be put together, to restrain the space to the sequences that respect constraints. In particular an algorithm has been proposed to list classes whose sorting sequences do not break the common intervals detected between the two initial genomes A and B. This approach may reduce the space of sequences and is symmetric (the result of the analysis sorting A into B can be obtained from the analysis sorting B into A).
  
  
  RESULTS
  We propose an alternative approach to restrain the space of sorting sequences, using progressive instead of initial detection of common intervals (the list of common intervals is updated after applying each reversal). This may reduce the space of sequences even more, but is shown to be asymmetric.
  
  
  CONCLUSIONS
  We suggest that our method may be more realistic when the relation ancestor-descendant between the analysed genomes is clear and we apply it to do a better characterisation of the evolutionary scenario of the bacterium Rickettsia felis with respect to one of its ancestors.
authors.affiliation: Université de Lyon, F-69000, Lyon, France. mdvbraga@gmail.com
authors.forename: Marília D V
authors.initials: MD
authors.lastname: Braga
authors.forename: Christian
authors.initials: C
authors.lastname: Gautier
authors.forename: Marie-France
authors.initials: MF
authors.lastname: Sagot