Round Robin Tournament Scheduling

12 players and 2 byes

Wim · 3 · 2042

Wim

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on: June 07, 2022, 03:29:25 PM
Hi, I'm looking for a schedule for 12 players, every person plays against all others. 
There is only time for 5 games a day, so in each round I have 2 byes.
Is that possible? Thanks in advance!
Wim


Ian Wakeling

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Reply #1 on: June 08, 2022, 02:21:13 AM
Hi Wim,

Yes, this is possible, but note that there are 66 games to play, which is not divisible by 5, so this leaves one day where there is only one game to be played.  Here is a schedule where the players are labelled A to L.

(B C) (---) (---) (---) (---)
(G K) (E F) (H L) (D I) (A J)
(D J) (G L) (B E) (C F) (H I)
(B K) (I J) (A C) (E H) (F L)
(G H) (J K) (D F) (B L) (A E)
(E G) (B I) (F K) (C J) (A D)
(D H) (A K) (J L) (F G) (C I)
(A F) (D G) (E I) (C L) (B H)
(C D) (A L) (B G) (H J) (E K)
(A I) (C E) (D L) (H K) (F J)
(F I) (D K) (E J) (A B) (C G)
(B J) (C H) (G I) (D E) (K L)
(E L) (B F) (A H) (I K) (G J)
(I L) (F H) (C K) (A G) (B D)


Ian


Wim

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Reply #2 on: June 08, 2022, 11:00:07 AM
Thanks a lot!
Wim