Round Robin Tournament Scheduling

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Title: 9 golfers, 3 X 3 Balls, 5/6 rounds - best configuration
Post by: golfofcourse on October 31, 2021, 02:34:06 PM

Hi,
We are 9 golfers playing either 5 or 6 rounds in Turkey next week. Let's assume that no-one gets injured in the bar and that we all play 6 rounds. What's the best configuration of 3-ball matches over the 6 games so that we all get to play with as many different people as possible?
Many thanks in advance!
Geoff

Title: Re: 9 golfers, 3 X 3 Balls, 5/6 rounds - best configuration
Post by: Ian Wakeling on November 02, 2021, 03:55:13 AM

Here's one way of doing it, where the 6 rounds are in the rows, and where after 4 rounds each player will have played with all others exactly once.


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

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

Title: Re: 9 golfers, 3 X 3 Balls, 5/6 rounds - best configuration
Post by: golfofcourse on November 04, 2021, 10:49:13 AM

HI Ian,

That's really appreciated, thanks for taking the time to reply!

Geoff