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  4. Sorting signed permutations by inversions in O(nlogn) time
 
conference paper

Sorting signed permutations by inversions in O(nlogn) time

Swenson, K.M.  
•
Rajan, V.
•
Lin, Y.  
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2009
Research in Computational Molecular Biology. RECOMB 2009
13th Int'l Conf. on Research in Comput. Molecular Biol. RECOMB'09

The study of genomic inversions (or reversals) has been a mainstay of computational genomics for nearly 20 years. After the initial breakthrough of Hannenhalli and Pevzner, who gave the first polynomial-time algorithm for sorting signed permutations by inversions, improved algorithms have been designed, culminating with an optimal linear-time algorithm for computing the inversion distance and a subquadratic algorithm for providing a shortest sequence of inversions-also known as sorting by inversions. Remaining open was the question of whether sorting by inversions Could be done in O(n log n) time.

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