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) n{2} + O(nlogn), improving the previous (1/4) n{2} upper bound. We also show that there is a short swap sorting network with (1/4)n{2} + O(nlogn) comparators and depth n.
Citation:
X. Feng, Z. Meng, I. H. Sudborough, "Improved Upper Bound for Sorting by Short Swaps," ispan, pp.98, 2004 International Symposium on Parallel Architectures, Algorithms and Networks (ISPAN'04), 2004