[CST-2] Kolmogorov complexity - cost of sorting

Matej Pfajfar mp292@cam.ac.uk
Fri, 31 May 2002 12:57:53 +0100 (BST)


I can't really understand the ntes I made on the minimum cost of sorting
proof that he did using kolmogorov complexity.

If you take a random permutation of N elements - than the string
describing it this has K = nlog(n).

Now suppose you can sort in << nlog(n) comparisons.
How do you then represent the string in less than nlog(n) bits?

Thanks,
Matej

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Matej Pfajfar
St John's College, University of Cambridge, UK

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