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» On Sorting Permutations by Double-Cut-and-Joins
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COMBINATORICS
1998
88views more  COMBINATORICS 1998»
14 years 9 months ago
Multi-statistic enumeration of two-stack sortable permutations
Using Zeilberger’s factorization of two-stack-sortable permutations, we write a functional equation — of a strange sort — that defines their generating function according t...
Mireille Bousquet-Mélou
SIAMDM
2010
105views more  SIAMDM 2010»
14 years 4 months ago
A Lower Bound on the Transposition Diameter
Sorting permutations by transpositions is an important and difficult problem in genome rearrangements. The transposition diameter TD(n) is the maximum transposition distance among ...
Linyuan Lu, Yiting Yang
SODA
1994
ACM
133views Algorithms» more  SODA 1994»
14 years 11 months ago
Derandomizing Algorithms for Routing and Sorting on Meshes
We describe a new technique that can be used to derandomize a number of randomized algorithms for routing and sorting on meshes. We demonstrate the power of this technique by deri...
Michael Kaufmann, Jop F. Sibeyn, Torsten Suel
71
Voted
STOC
2003
ACM
98views Algorithms» more  STOC 2003»
15 years 10 months ago
On the limits of cache-obliviousness
In this paper, we present lower bounds for permuting and sorting in the cache-oblivious model. We prove that (1) I/O optimal cache-oblivious comparison based sorting is not possib...
Gerth Stølting Brodal, Rolf Fagerberg
RECOMB
2007
Springer
15 years 10 months ago
How to Achieve an Equivalent Simple Permutation in Linear Time
The problem of Sorting signed permutations by reversals is a well studied problem in computational biology. The first polynomial time algorithm was presented by Hannenhalli and Pev...
Simon Gog, Martin Bader