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44th Annual IEEE Symposium on Foundations of Computer Science (FOCS'03)
An In-Place Sorting with O(n log n) Comparisons and O(n) Moves
Cambridge, Massachusettes
October 11-October 14
ISBN: 0-7695-2040-5
Gianni Franceschini, University of Pisa
Viliam Geffert, P. J. Šafárik University

We present the first in-place algorithm for sorting an array of size n that performs, in the worst case, at most O(n log n) element comparisons and O(n) element transports.

This solves a long-standing open problem, stated explicitly, e.g., in [J. I. Munro and V. Raman, Sorting with minimum data movement, J. Algorithms, 13, 374-93, 1992], of whether there exists a sorting algorithm that matches the asymptotic lower bounds on all computational resources simultaneously.

Citation:
Gianni Franceschini, Viliam Geffert, "An In-Place Sorting with O(n log n) Comparisons and O(n) Moves," focs, pp.242, 44th Annual IEEE Symposium on Foundations of Computer Science (FOCS'03), 2003
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