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Combinatorics of Genome Rearrangements$
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Guillaume Fertin, Anthony Labarre, Irena Rusu, Eric Tannier, and Stéphane Vialette

Print publication date: 2009

Print ISBN-13: 9780262062824

Published to MIT Press Scholarship Online: August 2013

DOI: 10.7551/mitpress/9780262062824.001.0001

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PRINTED FROM MIT PRESS SCHOLARSHIP ONLINE (www.mitpress.universitypressscholarship.com). (c) Copyright The MIT Press, 2021. All Rights Reserved. An individual user may print out a PDF of a single chapter of a monograph in MITSO for personal use.date: 26 July 2021

Distances between Signed Permutations

Distances between Signed Permutations

Chapter:
(p.63) 4 Distances between Signed Permutations
Source:
Combinatorics of Genome Rearrangements
Author(s):

Guillaume Fertin

Anthony Labarre

Irena Rusu

Eric Tannier

Steéphane Vialette

Publisher:
The MIT Press
DOI:10.7551/mitpress/9780262062824.003.0004

Signed permutations allow the relative orientation of homologous markers to be taken into account and constitute a more biologically relevant model for genomes. Reversals, for instance, always change the strand of the reversed segment, so that the orientation of a gene inside the segment is also changed. Thus, whenever the orientation of genes is known and mutations that affect orientations are considered, it is better to use signed permutations as a model. This chapter discusses conserved interval distance; signed reversal distance; variants of sorting by reversals; combined operations; and double cut-and-joins.

Keywords:   homologous markers, genomes, signed permutations, interval distance, reversal distance, double cut-and-joins

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