Round Robin Tournament Scheduling

16 teams, 8 activities, 8 rounds

Marquel1989 · 3 · 2849

Marquel1989

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on: December 11, 2015, 04:09:35 PM
I am trying to schedule a tournament for 16 teams. Assuming I have two different pools of teams. I want each team in Pool 1 to play against each team in Pool 2 only once. I want each team to be playing in each round. I want each team to play each activity once. Can you please assist.
« Last Edit: December 11, 2015, 04:53:28 PM by Marquel1989 »


Ian Wakeling

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Reply #1 on: December 12, 2015, 03:41:57 AM
This is known as a bipartite tournament and can be made using Latin squares.  For example:

(A7 B3) (A2 B8) (A5 B4) (A6 B7) (A1 B1) (A4 B2) (A8 B6) (A3 B5)
(A3 B4) (A5 B5) (A2 B3) (A4 B6) (A8 B2) (A6 B1) (A1 B7) (A7 B8)
(A1 B5) (A6 B4) (A4 B8) (A2 B2) (A7 B6) (A5 B7) (A3 B1) (A8 B3)
(A6 B2) (A1 B6) (A8 B1) (A7 B5) (A2 B4) (A3 B3) (A5 B8) (A4 B7)
(A5 B6) (A3 B2) (A7 B7) (A8 B4) (A4 B5) (A1 B8) (A6 B3) (A2 B1)
(A8 B8) (A4 B3) (A6 B5) (A5 B1) (A3 B7) (A2 B6) (A7 B2) (A1 B4)
(A2 B7) (A7 B1) (A3 B6) (A1 B3) (A6 B8) (A8 B5) (A4 B4) (A5 B2)
(A4 B1) (A8 B7) (A1 B2) (A3 B8) (A5 B3) (A7 B4) (A2 B5) (A6 B6)

All 8 members of pool A and pool B appear exactly once in each row and once in each round, because of this symmetry you can assign rows and columns to be rounds and activities either way around.


Marquel1989

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Reply #2 on: December 12, 2015, 10:30:31 AM
Thank you!!!