[Cs4800] Quick question about polynomial time
Kenneth K Sham
sham.k at husky.neu.edu
Mon Oct 11 19:32:25 EDT 2010
Andrei,
You are right. n^2 is polynomial and not exponential. Exponential would be
something like 2^n. Exponential time algorithms grow much faster than
polynomial. For example:
500^3 is far less than 3^500. I'm pretty sure it's even far less than
2^500.
Ken
On Mon, Oct 11, 2010 at 5:47 PM, Andrei Mackenzie <andrei at ccs.neu.edu>wrote:
> Hi all,
>
> Assuming we let m = |M| and n = # of directed trees whose GCP we are
> interested in, would an algorithm that is bounded by O(n^2 * m) be
> considered polynomial? I don't think it's exponential, since neither n nor m
> appear as an exponent, but I'm not sure if it's still polynomial.
>
> Thanks in advance!
>
> --
> Andrei Mackenzie
>
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