Author: José de Jesús García Ruvalcaba
Date: 10:24:54 06/09/04
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On June 09, 2004 at 08:31:21, Peter Berger wrote: > >I enjoyed reading your posts but you generalized the problem too much IMHO. I >specifically referred to legal Swiss pairings only. I agree that there will >always be some way of pairing left but not one that also follows the much >stricter rules for Swiss pairings. > >If you have sufficient time you can look them up here: >http://www.fide.com/official/handbook.asp?level=C04 > >Peter Well, I did not generalise the problem too much. The FIDE swiss system rules are for sure strict, but they allow score brackets to be melted together if there is no other way of producing a pairing. Doing that succesvely until we get only one bracket (with n-3 rounds for n players that could easily happen according to the rules), we are in the situation I described. See http://www.fide.com/official/handbook.asp?level=C0401B B.3 is a relative pairing criterium. in C.13 of http://www.fide.com/official/handbook.asp?level=C0401C it is shown under which circumstances the last two score brackets are joined. And in 9.6 of http://www.fide.com/official/handbook.asp?level=C0402B it is described how and in which direction the median score group is extended. If you read carefully, in those pages the swiss system is described twice, and both descriptions are not equivalent. In one of them the score brackets are paired from up to bottom, in that case the C.13 rule is relevant. In the other one the brackets above the median group are paired from up to bottom, then the brackets below the median group are paired from bottom to up, and at the end the median group is paired, then is the 9.6 rule relevant. Anyway, as long as there is a pairing which does not break the absolute pairing criteria, there is a legal pairing. As I said, it can be guaranteed up to n-3 rounds. José.
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