Round Robin Tournament Scheduling

Flag football schedule

microcosm · 2 · 5681

microcosm

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on: October 25, 2011, 03:57:39 PM
It seems that the facility we play in messed up the scheduling for our 12 teams.  I hope someone can give me 6 more weeks of scheduling without playing anyone twice with the first 2 games already scheduled.

Here are the first 2 weeks of games (8 games in our season with 12 teams involved)

week 1:  4v6, 11v12, 7v10, 5v9, 2v3, 1v8

week 2:  2v9, 7v12, 3v5, 1v11, 4v8, 6v10

Thanks for all of your help,

Mike
« Last Edit: October 25, 2011, 03:58:37 PM by microcosm »


Ian Wakeling

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Reply #1 on: October 26, 2011, 04:41:28 AM
It's possible to complete the full 11 week all-plays-all round robin schedule from the initial two weeks.  Below there is an example which also has venue balance - no team more than twice in any single column.

Hope that helps.

Ian.

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