Listing all sorting reversals in quadratic time

Krister M. Swenson,G. Badr,D. Sankoff

Published 2010 in Algorithms for Molecular Biology

ABSTRACT

We describe an average-case O(n2) algorithm to list all reversals on a signed permutation π that, when applied to π, produce a permutation that is closer to the identity. This algorithm is optimal in the sense that, the time it takes to write the list is Ω(n2) in the worst case.

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