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DAM
2007
120views more  DAM 2007»
13 years 11 months ago
Advances on sorting by reversals
Theproblemofsortingsignedpermutationsbyreversalsisinspiredbygenomerearrangementproblemsincomputationalmolecular biology. Given two genomes represented as signed permutations of th...
Eric Tannier, Anne Bergeron, Marie-France Sagot
COMBINATORICS
2007
73views more  COMBINATORICS 2007»
13 years 11 months ago
The Skew and Relative Derangements of Type B
By introducing the notion of relative derangements of type B, also called signed relative derangements, which are defined in terms of signed permutations, we obtain a type B anal...
William Y. C. Chen, Jessica C. Y. Zhang
BIOCOMP
2006
14 years 9 days ago
Improving the Efficiency of Sorting by Reversals
Sorting signed permutations by reversals is a fundamental problem in computationial molecular biology. In this paper we present an improved algorithm for sorting by reversals. Our...
Yijie Han
STOC
1995
ACM
194views Algorithms» more  STOC 1995»
14 years 2 months ago
Transforming cabbage into turnip: polynomial algorithm for sorting signed permutations by reversals
Genomes frequently evolve by reversals ␳(i, j) that transform a gene order ␲1 . . . ␲i␲iϩ1 . . . ␲jϪ1␲j . . . ␲n into ␲1 . . . ␲i␲jϪ1 . . . ␲iϩ1␲j . . ....
Sridhar Hannenhalli, Pavel A. Pevzner
COCOON
2003
Springer
14 years 4 months ago
Genomic Distances under Deletions and Insertions
As more and more genomes are sequenced, evolutionary biologists are becoming increasingly interested in evolution at the level of whole genomes, in scenarios in which the genome ev...
Mark Marron, Krister M. Swenson, Bernard M. E. Mor...
CPM
2004
Springer
138views Combinatorics» more  CPM 2004»
14 years 4 months ago
Reversal Distance without Hurdles and Fortresses
Abstract. This paper presents an elementary proof of the HannenhalliPevzner theorem on the reversal distance of two signed permutations. It uses a single PQ-tree to encode the vari...
Anne Bergeron, Julia Mixtacki, Jens Stoye
WABI
2005
Springer
132views Bioinformatics» more  WABI 2005»
14 years 4 months ago
Perfect Sorting by Reversals Is Not Always Difficult
—We propose new algorithms for computing pairwise rearrangement scenarios that conserve the combinatorial structure of genomes. More precisely, we investigate the problem of sort...
Sèverine Bérard, Anne Bergeron, Cedr...
CPM
2009
Springer
189views Combinatorics» more  CPM 2009»
14 years 5 months ago
Average-Case Analysis of Perfect Sorting by Reversals
A sequence of reversals that takes a signed permutation to the identity is perfect if it preserves all common intervals between the permutation and the identity. The problem of com...
Mathilde Bouvel, Cedric Chauve, Marni Mishna, Domi...