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Improved upper bound for sorting by short swaps

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3 Author(s)
Feng, X. ; Dept. of Comput. Sci., Texas Univ., Dallas, TX, USA ; Meng, Z. ; Sudborough, I.H.

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

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