Re: NP-hard problems
- From: Timothy Murphy <gayleard@xxxxxxxxxx>
- Date: Thu, 27 Mar 2008 14:25:58 +0000
saneman wrote:
As I understand a problem is said to be NP-Hard if there is no
polynomial time algorithm that can solve it.
But what if I have a logarithmic algorithm that solves the problem?
Logarithmic functions are not polynomial.
I wonder if you really have a "logarithmic algorithm"?
I imagine they are quite rare.
Remember that it is polynomial time in the _length_ of the input,
so if you are talking about integer input,
it is polynomial time in log n.
--
Timothy Murphy
e-mail (<80k only): tim /at/ birdsnest.maths.tcd.ie
tel: +353-86-2336090, +353-1-2842366
s-mail: School of Mathematics, Trinity College, Dublin 2, Ireland
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