All-play-all tournament design for 19 players

Julian D. A. Wiseman, April 2002

This is a 19-player all-play-all tournament design, and is based on the 20-player all-play-all. It was last updated in April 2002.

Available formats:
PDF (A4)	Schedule, in score-sheet, with running totals; Blank score sheet, with running totals
PDF (A3)	Schedule, in score-sheet, with running totals; Blank score sheet, with running totals
PDF (USL)	Schedule, in score-sheet, with running totals; Blank score sheet, with running totals
Text	Human-readable schedule, machine-readable schedule
Also see the all-play-all explanation and the links to designs for other numbers of players.

Properties of this tournament design:


    Bye  i   ii   iii  iv    v   vi   vii viii  ix  
  1  H  Q:J  C:N  G:S  P:K  I:F  B:M  E:L  O:A  D:R 
  2  J  F:S  O:I  H:L  Q:B  E:K  A:P  N:D  R:C  M:G 
  3  B  L:Q  A:S  C:O  R:F  M:D  H:K  G:J  I:P  E:N 
  4  C  R:G  I:E  N:M  D:Q  H:O  J:B  S:P  L:F  A:K 
  5  D  I:M  R:H  P:B  E:J  N:G  L:O  F:K  A:Q  S:C 
  6  A  E:R  J:P  K:C  H:N  D:L  Q:F  M:S  B:O  G:I 
  7  G  H:C  F:O  R:J  A:I  Q:M  D:S  K:N  P:E  L:B 
  8  E  J:D  P:L  Q:I  F:G  B:N  M:C  R:A  S:H  K:O 
  9  O  M:A  S:B  L:K  C:P  R:Q  N:I  D:G  F:J  H:E 
 10  F  B:H  G:A  I:R  S:E  O:J  P:D  C:Q  M:K  N:L 
 11  N  O:P  Q:K  B:G  J:M  F:C  R:L  A:H  E:D  I:S 
 12  R  D:K  M:F  O:E  L:A  P:H  S:N  I:B  Q:G  C:J 
 13  K  G:O  B:R  A:N  I:D  J:S  E:Q  L:C  H:M  F:P 
 14  M  C:E  N:Q  F:D  O:S  K:B  I:H  P:R  G:L  J:A 
 15  Q  P:N  K:G  J:H  M:L  S:R  F:A  B:E  C:I  O:D 
 16  I  S:L  H:D  M:P  K:R  A:E  C:G  Q:O  J:N  B:F 
 17  L  N:F  E:M  D:A  B:C  G:P  O:R  J:I  K:S  Q:H 
 18  P  K:I  L:J  S:Q  N:O  C:A  G:E  H:F  D:B  R:M 
 19  S  A:B  D:C  E:F  G:H  L:I  K:J  O:M  N:R  P:Q

Each player plays each of the others exactly once, and each player has one bye.
No player plays two consecutive games at the same venue.
Each player plays exactly once on each side of each venue.
Hence each player plays twice at each venue, and each player plays nine times on each side (left and right).
It is seeded, so that important games come late in the tournament if player A is the best, B the second best, etc.
It has a permutation score of 105430.906560027477, which is maximal.
It has a left-right asymmetry measure of 13.41272227854809, which is minimal given the assignment of games to rounds and venues.