Round Robin Tournament Scheduling

12 person round robin tournament

dpiasecki1 · 2 · 4474

dpiasecki1

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on: June 24, 2011, 04:08:16 PM
I need to make a schedule for a 12 person round robin tournament that features 11 different locations. Each person will have to play each game once and all games will happen simultaneously so I cannot have a location be used twice in any round.

12 person
11 locations


Thanks


Ian Wakeling

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Reply #1 on: June 26, 2011, 03:32:18 AM
I think the following should work as each person (numbered 0 to 11) should appear once in every row and column.

(0 11)(4 8)(1 2)(5 10)(9 7)   (3 6) 
 (1 11)(5 9) (2 3)(6 0)(10 8)   (4 7)
(5 8) (2 11)(6 10) (3 4)(7 1)(0 9)   
 (6 9) (3 11)(7 0) (4 5)(8 2)(1 10)  
  (7 10) (4 11)(8 1) (5 6)(9 3)(2 0) 
   (8 0) (5 11)(9 2) (6 7)(10 4)(3 1)
(4 2)   (9 1) (6 11)(10 3) (7 8)(0 5)
(1 6)(5 3)   (10 2) (7 11)(0 4) (8 9)
(9 10)(2 7)(6 4)   (0 3) (8 11)(1 5) 
 (10 0)(3 8)(7 5)   (1 4) (9 11)(2 6)
(3 7) (0 1)(4 9)(8 6)   (2 5) (10 11)
[/pre]
« Last Edit: June 26, 2011, 03:33:38 AM by Ian »