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» On Sorting Permutations by Double-Cut-and-Joins
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DAM
2007
120views more  DAM 2007»
14 years 9 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
76
Voted
ITP
2010
114views Mathematics» more  ITP 2010»
15 years 1 months ago
A New Foundation for Nominal Isabelle
Pitts et al introduced a beautiful theory about names and binding based on the notions of permutation and support. The engineering challenge is to smoothly adapt this theory to a t...
Brian Huffman, Christian Urban
ISSAC
2004
Springer
93views Mathematics» more  ISSAC 2004»
15 years 3 months ago
Finding the smallest image of a set
We describe an algorithm for finding a canonical image of a set of points under the action of a permutation group. Specifically if we order images by sorting them and ordering t...
Steve Linton
CPM
2001
Springer
108views Combinatorics» more  CPM 2001»
15 years 2 months ago
A Very Elementary Presentation of the Hannenhalli-Pevzner Theory
In 1995, Hannenhalli and Pevzner gave a first polynomial solution to the problem of finding the minimum number of reversals needed to sort a signed permutation.Their solution, a...
Anne Bergeron
SSIAI
2000
IEEE
15 years 2 months ago
On the Representation of Wideband Images Using Permutations for Lossless Coding
We introduce a novel method for representing and coding wideband signals using permutations. The signal samples are first sorted, and then encoded using Differential Pulse Coding...
Marios S. Pattichis, Alan C. Bovik, John W. Havlic...