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Open Problems

Guillaume Fertin, Anthony Labarre, Irena Rusu, Eric Tannier, and Steéphane Vialette

in Combinatorics of Genome Rearrangements

Published in print:
2009
Published Online:
August 2013
ISBN:
9780262062824
eISBN:
9780262258753
Item type:
chapter
Publisher:
The MIT Press
DOI:
10.7551/mitpress/9780262062824.003.0016
Subject:
Mathematics, Mathematical Biology

The variety of genome rearrangement problems is huge and is increasing every year. While it is possible to design many other variants that have yet to be studied, among the most studied variants, ... More


Cycles of a Permutation

Guillaume Fertin, Anthony Labarre, Irena Rusu, Eric Tannier, and Steéphane Vialette

in Combinatorics of Genome Rearrangements

Published in print:
2009
Published Online:
August 2013
ISBN:
9780262062824
eISBN:
9780262258753
Item type:
chapter
Publisher:
The MIT Press
DOI:
10.7551/mitpress/9780262062824.003.0011
Subject:
Mathematics, Mathematical Biology

This chapter begins by providing a model for multichromosomal circular genomes. It then presents a generalization to signed genomes and some results.


Graph-Theoretic and Linear Algebra Formulations

Guillaume Fertin, Anthony Labarre, Irena Rusu, Eric Tannier, and Steéphane Vialette

in Combinatorics of Genome Rearrangements

Published in print:
2009
Published Online:
August 2013
ISBN:
9780262062824
eISBN:
9780262258753
Item type:
chapter
Publisher:
The MIT Press
DOI:
10.7551/mitpress/9780262062824.003.0006
Subject:
Mathematics, Mathematical Biology

This chapter demonstrates the expansion of genome rearrangement problems to a wide mathematical field, including long-standing problems in algebra. It discusses simple permutations and the ... More


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