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15 Teams, 10,11,12 rounds in fivesomes
15 Teams, 10,11,12 rounds in fivesomes
Sifo-Dyas
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Sifo-Dyas
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15 Teams, 10,11,12 rounds in fivesomes
on:
November 16, 2023, 03:16:55 AM
Hallo I need a Schedule:
15 Teams, five Teams in a Match, No byes and 10,11 or 12 rounds. The Schedule should be as balanced as possible.
Thank you
Ian Wakeling
Forum Moderator
God Member
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Re: 15 Teams, 10,11,12 rounds in fivesomes
Reply #1 on:
November 16, 2023, 12:23:55 PM
The best schedule I can find is for 12 rounds - for example:
(13 8 2 10 1) ( 5 15 4 14 11) ( 6 7 3 12 9)
(14 9 3 11 2) ( 6 13 5 15 12) ( 4 8 1 10 7)
(15 7 1 12 3) ( 4 14 6 13 10) ( 5 9 2 11 8)
(10 6 11 3 8) ( 7 15 13 5 9) ( 4 12 1 14 2)
(11 4 12 1 9) ( 8 13 14 6 7) ( 5 10 2 15 3)
(12 5 10 2 7) ( 9 14 15 4 8) ( 6 11 3 13 1)
(11 7 6 4 2) (14 1 5 3 8) (15 10 13 9 12)
(12 8 4 5 3) (15 2 6 1 9) (13 11 14 7 10)
(10 9 5 6 1) (13 3 4 2 7) (14 12 15 8 11)
(10 11 1 7 15) ( 5 14 12 2 6) ( 4 8 3 13 9)
(11 12 2 8 13) ( 6 15 10 3 4) ( 5 9 1 14 7)
(12 10 3 9 14) ( 4 13 11 1 5) ( 6 7 2 15 8)
above pairs of teams are in the same match together either 3 or 4 times. Hope that works for you.
Sifo-Dyas
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Re: 15 Teams, 10,11,12 rounds in fivesomes
Reply #2 on:
November 16, 2023, 02:47:49 PM
Thank you very much
Sifo-Dyas
Newbie
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Re: 15 Teams, 10,11,12 rounds in fivesomes
Reply #3 on:
November 18, 2023, 06:37:37 AM
So you have the perfectly balanced Schedule?
Everybody ist paired with everybody 4 Times in 14 rounds? Thank you
Ian Wakeling
Forum Moderator
God Member
Posts:
1140
Re: 15 Teams, 10,11,12 rounds in fivesomes
Reply #4 on:
November 19, 2023, 01:05:40 PM
Unfortunately, 14 perfect rounds is not possible - there is a mathematical proof that it does not exist. The smallest perfect schedule is with 21 rounds - I can make a schedule if you would like.
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Round Robin Tournament Scheduling
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Requests
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15 Teams, 10,11,12 rounds in fivesomes
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