Author: José de Jesús García Ruvalcaba
Date: 04:29:24 06/10/04
Go up one level in this thread
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. >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). José.
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