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...
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...
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...