Round Robin Tournament Scheduling

Schedules - You must register to Post and Download => Requests => Topic started by: jwb216 on May 14, 2012, 02:14:47 PM

Title: 4 teams per game
Post by: jwb216 on May 14, 2012, 02:14:47 PM

Hello!  I am attempting to set-up a double round robin tournament involving 8 total teams.  Each game includes 4 teams so there are two games happening simultaneously.  Is it possible to make sure each team sees each of the other teams somewhere along the way?  We want to have 4 rounds to accomplish this if possible.  Thanks for any help you can offer.

Title: Re: 4 teams per game
Post by: Ian Wakeling on May 15, 2012, 03:20:45 AM

Yes this is possible, but there will be four pairs of teams who see each other three times, below these are (1 7), (2 4), (3 8) & (5 6)

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

If you have prior information on team ability, then you could make sure that closely matched teams were the ones that meet three times.

Title: Re: 4 teams per game
Post by: jwb216 on May 15, 2012, 07:18:41 AM

Thank you!  Am I correct in saying it would not be possible to make sure they all meet every other team at least twice within our four round limit?

Title: Re: 4 teams per game
Post by: Ian Wakeling on May 15, 2012, 09:10:49 AM

That's correct, each team meets 3 others in each of 4 rounds, so 12 opponents total and a pool of 7 distinct opponents to choose from - so not all can be seen twice each.  Interestingly it is possible to arrange it so that each team meets six of the others exactly twice each and the other team not at all.

1 2 3 4
5 6 7 8
-------
2 7 8 1
6 3 4 5
-------
3 8 1 6
7 4 5 2
-------
4 1 6 7
8 5 2 3

Above (1 5), (2 6), (3 7) & (4 8) are the pairs that do not meet.

Title: Re: 4 teams per game
Post by: jwb216 on May 15, 2012, 10:05:15 AM

This is perfect.  Thank you so much!!