[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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