The Prague Stringology Conference 2005

Yoan Pinzón, Costas S. Iliopoulos, Gad M. Landau and Manal Mohamed

Approximation Algorithm for the Cyclic Swap Problem

Abstract:
Given two n-bit (cyclic) binary strings, A and B, represented on a circle (necklace instances). Let each sequence have the same number k of 1's. We are interested in computing the cyclic swap distance between A and B, i.e., the minimum number of swaps needed to convert A into B, minimized over all rotations of B. We show that this distance may be approximated in O(n+k2) time.

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