Round Robin Tournament Scheduling
Schedules - You must register to Post and Download => Requests => Topic started by: loripori on January 26, 2022, 04:25:42 AM
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Hi,
:) I am at a loss, hope you can help I would really appreciate it. I am trying to plan a boardgame league with 7 people. The game is played by 4 people per match.
Is there any way to create a plan where every player is playing against each other player at least once and that all players have the same amount of matches in the end?
Thanks in advance!
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To get balance, you must play 7 matches in total. Each player plays in exactly 4 matches and plays against the other 6 players exactly twice. For example:
1 3 4 5
2 4 5 6
3 5 6 7
4 6 7 1
5 7 1 2
6 1 2 3
7 2 3 4
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Perfect, thanks so much for the quick reply :)
Is there a way to adapt this also to 8 players? just in case one more wants to join...
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14 rounds are necessary for 8 players, but it can be arranged so that pairs of rounds have all players exactly once:
5 3 1 6
4 2 8 7
6 5 4 7
2 1 3 8
8 1 7 5
4 6 2 3
7 6 1 2
8 4 3 5
7 3 4 1
2 5 6 8
1 4 5 2
3 7 8 6
1 8 6 4
5 7 2 3
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Thanks again! so helpful!