Algorithms on strings, trees, and sequences: computer science and computational biology
Algorithms on strings, trees, and sequences: computer science and computational biology
Formulations and hardness of multiple sorting by reversals
RECOMB '99 Proceedings of the third annual international conference on Computational molecular biology
Transforming cabbage into turnip: polynomial algorithm for sorting signed permutations by reversals
Journal of the ACM (JACM)
A Faster and Simpler Algorithm for Sorting Signed Permutations by Reversals
SIAM Journal on Computing
Genome Rearrangements and Sorting by Reversals
SIAM Journal on Computing
WADS '01 Proceedings of the 7th International Workshop on Algorithms and Data Structures
Efficient Bounds for Oriented Chromosome Inversion Distance
CPM '94 Proceedings of the 5th Annual Symposium on Combinatorial Pattern Matching
Sorting Permutations by Reversals Through Branch-and-Price
INFORMS Journal on Computing
Inversion Medians Outperform Breakpoint Medians in Phylogeny Reconstruction from Gene-Order Data
WABI '02 Proceedings of the Second International Workshop on Algorithms in Bioinformatics
A Branch-and-Bound Method for the Multichromosomal Reversal Median Problem
WABI '08 Proceedings of the 8th international workshop on Algorithms in Bioinformatics
A practical algorithm for ancestral rearrangement reconstruction
WABI'11 Proceedings of the 11th international conference on Algorithms in bioinformatics
The median problem for the reversal distance in circular bacterial genomes
CPM'05 Proceedings of the 16th annual conference on Combinatorial Pattern Matching
Linear programming for phylogenetic reconstruction based on gene rearrangements
CPM'05 Proceedings of the 16th annual conference on Combinatorial Pattern Matching
RCG'06 Proceedings of the RECOMB 2006 international conference on Comparative Genomics
Hi-index | 0.00 |
In this paper, we study the Reversal Median Problem (RMP), which arises in computational biology and is a basic model for the reconstruction of evolutionary trees. Given q genomes, RMP calls for another genome such that the sum of the reversal distances between this genome and the given ones is minimized. So far, the problem was considered too complex to derive mathematical models useful for its practical solution. We use the graph theoretic relaxation of RMP that we developed in a previous paper [6], essentially calling for a perfect matching in a graph that forms the maximum number of cycles jointly with q given perfect matchings, to design effective algorithms for its exact and heuristic solution. We report the solution of a few hundred instances associated with real-world genomes.