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Title: Golf Groupings : 10 & 11 Golfers
Post by: tomc on September 23, 2014, 09:56:46 AM
Hello

Hope someone can help!

I'm putting together 6 rounds of golf for 10 & 11 Golfers!

For the group of 10 we will be playing 2-Fivesome's!  

For the group of 11 we will be playing 2-Foursome's and 1-Threesome

I'm trying for the least overlapping of players golfing together.

Thanks for the help!

Tomc
Title: Re: Golf Groupings : 10 & 11 Golfers
Post by: Ian Wakeling on September 25, 2014, 03:07:25 AM

With 10 players and fivesomes I don't believe you can avoid having some pairs of players play together 4 times.  In the schedule below pairs of players occur together either 2 or 4 times.

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

The 11 player scenario is nicer.  It is possible to have pairs together either once or twice, however the distribution of players is not even across the foursomes and threesomes.  For example player 1 is never in a threesome.

  ( 2  6  1  5) ( 4  3 10 11)  (9  7  8)
  ( 7  4  9  5) (10  2  1  8)  (6 11  3)
  ( 1  6  7 11) ( 8  3 10  5)  (2  4  9)
  (11  8  1  9) ( 6  2  3  7)  (5 10  4)
  ( 2 10  7 11) ( 3  5  1  9)  (4  8  6)
  ( 2  8 11  5) ( 4  3  1  7)  (6 10  9)
Title: Re: Golf Groupings : 10 & 11 Golfers
Post by: tomc on September 25, 2014, 09:31:58 AM
IAN,

Thanks for the Quick Help!

Tom C