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» Bounding Prefix Transposition Distance for Strings and Permu...
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MFCS
2005
Springer
13 years 11 months ago
Approximating Reversal Distance for Strings with Bounded Number of Duplicates
For a string A = a1 . . . an, a reversal ρ(i, j), 1 ≤ i < j ≤ n, transforms the string A into a string A = a1 . . . ai−1ajaj−1 . . . aiaj+1 . . . an, that is, the reve...
Petr Kolman
EJC
2010
13 years 5 months ago
On the distance between the expressions of a permutation
Abstract. We prove that the combinatorial distance between any two reduced expressions of a given permutation of {1, ..., n} in terms of transpositions lies in O(n4), a sharp bound...
Patrick Dehornoy, Marc Autord
TIT
2010
170views Education» more  TIT 2010»
13 years 9 days ago
Correcting charge-constrained errors in the rank-modulation scheme
We investigate error-correcting codes for a the rank-modulation scheme with an application to flash memory devices. In this scheme, a set of n cells stores information in the permu...
Anxiao Jiang, Moshe Schwartz, Jehoshua Bruck