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Subject: Re: RULES FOR THE 12TH WORLD COMPUTER-CHESS CHAMPIONSHIP

Author: Vincent Diepeveen

Date: 09:13:00 06/11/04

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On June 10, 2004 at 07:29:24, José de Jesús García Ruvalcaba wrote:

>On June 10, 2004 at 00:29:00, Vincent Diepeveen wrote:
>
>>On June 09, 2004 at 18:25:36, Dieter Buerssner wrote:
>>
>>>On June 09, 2004 at 08:23:00, José de Jesús García Ruvalcaba wrote:
>>>
>>>>It actually implies that for any number of players, we can find swiss pairings
>>>>up to n-3 rounds (you may assume n is even, if n is odd it is sharper and up to
>>>>n-2 rounds). Of course I am assuming no dropouts from the tournament and other
>>>>irregularities.
>>>
>>>Do I understand you correctly, that this is independent of already played
>>>rounds, and however they were paired. Let me give an example with 14 players
>>>(a-n) and 8 or more rounds. Say the first seven rounds were (color and results
>>>etc. ignored):
>>>
>>>1: a-h b-i c-j d-k e-l f-m g-n
>>    1-0 0-1 1-0 0-1 1-0 0-1 1-0 (which will be about first round result anyway)
>>>2: a-i b-j c-k d-l e-m f-n g-h
>>How can H play G in round 2?
>>
>>Please show a possible result in round 1 that makes it possible.
>>
>
>All games drawn. Colors for the second round would be inverted, of course.

Statistical there is 0.01% chance for that or so...

So no valid assumption.

>>Swiss pairing is a very complex system. There are very big books about it and
>>many analysis done. Average book is hundreds of pages about it.
>>
>>Please show results with the pairings to proof *any* point.
>>
>>Also you skip one of the most improtant things in swiss that's color
>>alternation, which is *crucial* for the pairing to be done correctly and forms a
>>huge problem. However it completely will make impossible many pairings and
>>reduce the possible pairing tree drastically.
>>
>>>3: a-j b-k c-l d-m e-n f-h g-i
>>>4: a-k b-l c-m d-n e-h f-i g-j
>>>5: a-l b-m c-n d-h e-i f-j g-k
>>>6: a-m b-n c-h d-i e-j f-k g-l
>>>7: a-n b-h c-i d-j e-k f-l g-m
>>>8: ???
>>>
>>>Now, how do you pair the 8th round?
>>
>>>Regards,
>>>Dieter
>
>You can probably try with a pairng program or ask an arbiter, but posible the
>color rules can produce Dieters scenario if all the games are drawn in the first
>seven rounds (I am not sure).

Yes you are not sure because it's impossible pairings.

>José.



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