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2004 International Symposium on Parallel Architectures, Algorithms and Networks (ISPAN'04)
Improved Upper Bound for Sorting by Short Swaps
Hong Kong, SAR, China
May 10-May 12
ISBN: 0-7695-2135-5
X. Feng, University of Texas at Dallas
Z. Meng, University of Texas at Dallas
I. H. Sudborough, University of Texas at Dallas
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
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