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An in-place sorting with O(n log n) comparisons and O(n) moves

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2 Author(s)
Franceschini, G. ; Dept. of Comput. Sci., Pisa Univ., Italy ; Geffert, V.

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 (1992), of whether there exists a sorting algorithm that matches the asymptotic lower bounds on all computational resources simultaneously.

Published in:

Foundations of Computer Science, 2003. Proceedings. 44th Annual IEEE Symposium on

Date of Conference:

11-14 Oct. 2003