We consider the problem of sorting an arbitrary permutation of length n using substring reversals of length 2 or 3. This has been called "short swaps ". We give an upper bound of (5/24) n2 + O(nlogn), improving the previous ( 1/4 ) n2 upper bound. We also show that there is a short swap sorting network with ( 1/4 ) n2 +O(nlogn) comparators and depth n.
Published in:
Parallel Architectures, Algorithms and Networks, 2004. Proceedings. 7th International Symposium on
Date of Conference: 10-12 May 2004