Round Robin Tournament Scheduling

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Title: 10 GOLFERS 6 ROUNDS
Post by: JIMT23 on February 29, 2020, 10:56:29 AM

I have a group of 10 golfers heading south for 6 rounds. Could someone help with pairings that have least amount of same players playing together over the 6 rounds?
2 - threesomes, 1 foursome
Thanks in advance!

Title: Re: 10 GOLFERS 6 ROUNDS
Post by: Ian Wakeling on March 02, 2020, 04:28:55 AM

I think the best solution to this problem is to have one player who always plays in the foursome.  Then it it possible to get some resonable balance for the other players.  For example:

  (4  1  7)  (3  2  6)  (8  9  5 10)
  (5  2  8)  (1  3  4)  (9  7  6 10)
  (6  3  9)  (2  1  5)  (7  8  4 10)
  (4  5  9)  (7  3  8)  (2  6  1 10)
  (5  6  7)  (8  1  9)  (3  4  2 10)
  (6  4  8)  (9  2  7)  (1  5  3 10)

In the above player 10 players with all the other players exactly twice.  The other 9 players all have exactly 4 games in a threesome and 2 games in a foursome. 

Hope that helps.