[Retros] Proofgame maximum lengths and numbers
A J Mestel
A.J.Mestel at damtp.cam.ac.uk
Mon Mar 9 08:31:36 EDT 2009
Let F(n) be the number of unique proofgames n half-moves long.
Fairly obviously F(n) has a maximum somewhere at n=N_0 and
there is a maximum value n=N_1 of those n for which F(n)>0.
Does anyone have an intuitive guess for rough values of N_0 and N_1?
Jonathan
On Sun, 8 Mar 2009, Joost de Heer wrote:
> Mario Richter wrote:
>> Joost> In orthodox chess, there are no exact massacre proofgames
>> Joost> ending with only the kings.
>>
>> I'd like to repeat Andrew's question: Do you have a source for
>> your claim?
>
> No, but I highly doubt there'll be a long dualfree orthodox proofgame ending
> with only kings. So perhaps my wording should read '[..]there are almost
> certainly no exact [...]'.
>
> Joost
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