Round Robin Tournament Scheduling

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Title: 8 players, teams of four over four rounds
Post by: Simon(Guest) on December 30, 2005, 08:38:30 PM

Hi Richard:

Are you able to help with the following - There are 8 of us playing golf as individuals in two lots of four over four rounds.

Is it posible to arrange it so everyone plays with everyone else on two occasions or as near as possible thereto.

Many thanks, Simon

Sunday, September 18 2005, 07:33 am
East Preston

Title: Re: 8 players, teams of four over four rounds
Post by: Ian Wakeling on December 30, 2005, 08:41:44 PM

Hi Simon,

There is no nice solution to your 8 player problem as it is not possible to avoid having each player play 3 times with one out of the other 7 players.

In the plan below, the pairings GC, DH, EB and AF all occur three times within a foursome,
all other pairings occur either once or twice.

Foursome 1  Foursome 2
---------   ---------
(A B C D)   (E F G H)
(H C D G)   (F A E B)
(B D H E)   (C G F A)
(D H A F)   (G E B C)

The rounds are arranged above so that each player occurs exactly once in each of the four positions within a foursome. Pairs of foursomes from different rounds all share 2 players in common, however there are never 3 players in common (this gives you the best possible social mixing that Richard and others like to have).

Regards,
Ian.

Monday, September 19 2005, 02:24 am

Title: Re: 8 players, teams of four over four rounds
Post by: Richard A. DeVenezias on December 30, 2005, 08:44:51 PM

Simon replied:

Thanks for troubling to respond to my enquiry. At least I can tell, whoever it may be, who has the misfortune to play with me on 3 occasions that there was no better way to do it!

Tuesday, September 20 2005, 03:55 pm