Round Robin Tournament Scheduling

12 and 16 player tennis round robins with 7 rounds

Crusty · 4 · 1710

Crusty

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on: February 26, 2023, 10:41:42 PM
1) Could you suggest a round robin schedule for 12 players (doubles) in 7 rounds?  I'd like each player to have a new partner each round, and to face every other player as an opponent either once or twice. Basically, I am looking for a schedule very close to the 8-round one in Ian's last reply from this thread:

https://www.devenezia.com/round-robin/forum/index.php?topic=1786.0
 
except for 7 rounds instead.

2) Could you also suggest a 16-player schedule for 7 rounds with similar constraints (i.e. new partners each round, and maximizing the number of unique opponents faced) ?

Thank you!
« Last Edit: February 27, 2023, 02:07:04 AM by Crusty »


Ian Wakeling

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Reply #1 on: March 01, 2023, 01:28:56 PM
Thanks for your message.  Here is something that you could use for 12 players and 7 rounds:

  (10  2 v 11  7) ( 6  1 v  3  9) (12  8 v  5  4)
  ( 4  3 v  9  7) ( 5  8 v  1 10) ( 2 11 v 12  6)
  ( 1  9 v  5  2) (11  3 v  8  7) ( 4 12 v 10  6)
  ( 7  1 v 12 10) ( 3  2 v  8  4) (11  6 v  5  9)
  ( 6  5 v  4  7) (11 12 v  3  1) ( 9  2 v  8 10)
  ( 2  4 v 11  1) ( 8  9 v 12  7) ( 3  6 v 10  5)
  ( 9 10 v 11  4) ( 7  6 v  1  8) ( 2 12 v  3  5)

I am still thinking about 16 players.  You could use the spouse avoiding schedule here, however everyone would have one player whom they never meet.  Ideally it should be possible to find a schedule where all pairs of players meet at least once, either as partners or opponents.


Ian Wakeling

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Reply #2 on: March 02, 2023, 01:14:19 PM
Here is a 16 player schedule.  It's not quite perfect since pairs (5,16) & (6,15) meet twice as opponents, all other pairs who meet twice do so once as partners and once as opponents.

  (13 15 v 14  4) (11  6 v  2 10) (12 16 v  8  5) ( 1  9 v  7  3)
  (16  7 v 13 11) ( 1  6 v 12 15) ( 8  4 v  3 14) ( 5  2 v 10  9)
  ( 8 16 v  6  4) ( 2 15 v  3  5) ( 9 11 v  1 13) (14 10 v 12  7)
  ( 8 12 v  2 13) ( 9  6 v 15 14) (10 16 v  1  3) ( 5  4 v 11  7)
  ( 1  2 v  4 13) ( 3 15 v 12 11) ( 6  8 v  9  7) (10  5 v 16 14)
  ( 7  2 v 15 16) (11  1 v  8 14) ( 4  9 v 12 10) ( 5 13 v  3  6)
  (11 16 v  9 12) ( 6  5 v  4  1) (10 15 v 13  8) ( 7 14 v  2  3)


Crusty

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Reply #3 on: March 03, 2023, 06:05:49 PM
Thanks so much for these schedules, Ian!  We will use them at our tournament this weekend. The advice you provide on this forum is much appreciated!