Round Robin Tournament Scheduling

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Title: 12 players and 2 byes
Post by: Wim 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

Title: Re: 12 players and 2 byes
Post by: Ian Wakeling 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

Title: Re: 12 players and 2 byes
Post by: Wim on June 08, 2022, 11:00:07 AM

Thanks a lot!
Wim