Transforming cabbage into turnip: polynomial algorithm for sorting signed permutations by reversals
Journal of the ACM (JACM)
PC trees and circular-ones arrangements
Theoretical Computer Science - Computing and combinatorics
Transforming men into mice (polynomial algorithm for genomic distance problem)
FOCS '95 Proceedings of the 36th Annual Symposium on Foundations of Computer Science
INFORMS Journal on Computing
Advances on sorting by reversals
Discrete Applied Mathematics
Perfect Sorting by Reversals Is Not Always Difficult
IEEE/ACM Transactions on Computational Biology and Bioinformatics (TCBB)
Evolution under Reversals: Parsimony and Conservation of Common Intervals
IEEE/ACM Transactions on Computational Biology and Bioinformatics (TCBB)
A more efficient algorithm for perfect sorting by reversals
Information Processing Letters
Multi-break rearrangements and chromosomal evolution
Theoretical Computer Science
Genome Halving under DCJ Revisited
COCOON '08 Proceedings of the 14th annual international conference on Computing and Combinatorics
Multichromosomal Genome Median and Halving Problems
WABI '08 Proceedings of the 8th international workshop on Algorithms in Bioinformatics
IEEE/ACM Transactions on Computational Biology and Bioinformatics (TCBB)
A fast and exact algorithm for the perfect reversal median problem
ISBRA'07 Proceedings of the 3rd international conference on Bioinformatics research and applications
Reactive stochastic local search algorithms for the genomic median problem
EvoCOP'08 Proceedings of the 8th European conference on Evolutionary computation in combinatorial optimization
A unifying view of genome rearrangements
WABI'06 Proceedings of the 6th international conference on Algorithms in Bioinformatics
Computing common intervals of K permutations, with applications to modular decomposition of graphs
ESA'05 Proceedings of the 13th annual European conference on Algorithms
COCOON'05 Proceedings of the 11th annual international conference on Computing and Combinatorics
Conservation of combinatorial structures in evolution scenarios
RCG'04 Proceedings of the 2004 RECOMB international conference on Comparative Genomics
Average-Case Analysis of Perfect Sorting by Reversals
CPM '09 Proceedings of the 20th Annual Symposium on Combinatorial Pattern Matching
Ultra-perfect sorting scenarios
RECOMB-CG'10 Proceedings of the 2010 international conference on Comparative genomics
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We study the problem of transforming a multichromosomal genome into another using Double-Cut-and-Join (DCJ) operations. We introduce the notion of DCJ scenario that does not break families of common intervals (groups of genes co-localized in both genomes). Such scenarios are called perfect, and generalize the notion of perfect reversal scenarios. While perfect sorting by reversals is NP-hard if the family of common intervals is nested, we show that finding a shortest perfect DCJ scenario can be answered in polynomial time in this case. Moreover, while perfect sorting by reversals is easy when the family of common intervals is weakly separable, we show that the corresponding problem is NP-hard in the DCJ case. These contrast with previous comparisons between the reversal and DCJ models, that showed that most problems have similar complexity in both models.