Whist style round robin - 25 players, 6 courts, 11 rounds

[Cindi]

Hi Ian,

I'm looking for a schedule for a whist style round robin, 11 rounds total with 25 players and 6 courts, with 1 player having a bye each round. So each player will have a unique partner each round and will oppose 22 unique players, favoring mixing up players from round to round. Not sure if a perfect schedule is possible, but trying to get as close as possible to each person playing with all 24 players either as a partner or opponent, not opposing the same player twice and each player not sitting out more than once. Thank you so much!

Cindi

[Ian Wakeling]

Hi Cindi,

I don't have a way of making a good 11 round schedule, but I can make a 10 round one.  The schedule below has the properties you want, all partners different and all opponents different, players on court with all others at least once and at most twice.  Of course the 10 players in the last column who have the bye will have one less game than the rest. Hope that helps.

Ian


  ( 1 20 v 19 23) (12 14 v 24 15) (21 16 v  2 13) (11 10 v 17  9) (18  8 v 22  3) ( 7  5 v  4 25) ( 6)
  ( 2 16 v 20 24) (13 15 v 25 11) (22 17 v  3 14) (12  6 v 18 10) (19  9 v 23  4) ( 8  1 v  5 21) ( 7)
  ( 3 17 v 16 25) (14 11 v 21 12) (23 18 v  4 15) (13  7 v 19  6) (20 10 v 24  5) ( 9  2 v  1 22) ( 8)
  ( 4 18 v 17 21) (15 12 v 22 13) (24 19 v  5 11) (14  8 v 20  7) (16  6 v 25  1) (10  3 v  2 23) ( 9)
  ( 5 19 v 18 22) (11 13 v 23 14) (25 20 v  1 12) (15  9 v 16  8) (17  7 v 21  2) ( 6  4 v  3 24) (10)
  (15  3 v 20 21) (24 23 v  7 22) (18 11 v 25  2) ( 6  5 v  9 12) ( 8 17 v 13 19) (14  4 v 10  1) (16)
  (11  4 v 16 22) (25 24 v  8 23) (19 12 v 21  3) ( 7  1 v 10 13) ( 9 18 v 14 20) (15  5 v  6  2) (17)
  (12  5 v 17 23) (21 25 v  9 24) (20 13 v 22  4) ( 8  2 v  6 14) (10 19 v 15 16) (11  1 v  7  3) (18)
  (13  1 v 18 24) (22 21 v 10 25) (16 14 v 23  5) ( 9  3 v  7 15) ( 6 20 v 11 17) (12  2 v  8  4) (19)
  (14  2 v 19 25) (23 22 v  6 21) (17 15 v 24  1) (10  4 v  8 11) ( 7 16 v 12 18) (13  3 v  9  5) (20)

[Cindi]

Thank you, Ian. This is amazing as always!