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Re: computer-go: NP-complete problems solved?
Nick Wedd wrote:
>
> markus.enzenberger@xxxxxxxxxxxxxxxxx writes
>
> >I have just seen this article of a Anatoly Plotnikov who
> >claims to have reduced a NP-complete problem to a polynomial
> >algorithm:
>
> Could "Anatoly Plotnikov" be a Russian "Archimedes Plutonium"?
>
> Nick
> --
> Nick Wedd nick@xxxxxxxxxxxxxxxxx
Archimedes plutonium has a monstruous ego that Plotnikov apparently has not.
And AP's only original idea is that natural numbers are p-addics, an idea which
he uses to "solve" well-known conjectures in a way that most mathematicians
(including me) do not agree with...
But Plotnikov'claim is specific to a special P-NP problem, K-cliques
partitioning.
You may be aware that there is a very huge activity in this field, driven by a
$1000,000 prize (see http://www.claymath.org/prize_problems/). so lots of
amateur and professionals are currently claiming to have solved the P/NP
problem. Lot of noise...
Yes, it might be possible that P=NP. wether Plotnikov's work is a proof of it,
wait and see... For myself, I will check that in depth only when he is published
in a referee journal.
If P=NP, go is a P problem. But what is the "n" used for the determination of
complexity ? is it the size of the board ? if the exposant of n is a huge number
(and it might be), then this doesn't help a lot...
Serge ; http://www.multimania.com/boisse