Round Robin Tournament Scheduling

5 player whist style round robin - all match ups

rdunnivan · 4 · 8455

rdunnivan

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on: April 15, 2012, 10:21:40 AM
If I have 5 players in a whist style round robin, and want to get through all 15 possible match ups, is there a way to break it into three separate rounds with each player sitting out once each 5 games?

I can easily figure out the 15 match ups themselves, just not what order to put them in.

12 v 34
13 v 24
14 v 23
12 v 35
13 v 25
15 v 23
12 v 45
14 v 25
15 v 24
13 v 45
14 v 35
15 v 34
23 v 45
24 v 35
25 v 34

I can get the first round fine ...

12 v 34 (5 sits)
13 v 25 (4 sits)
15 v 24 (3 sits)
14 v 35 (2 sits)
23 v 45 (1 sits)

But I keep running into duplicate match ups in the second round.


Ian Wakeling

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Reply #1 on: April 16, 2012, 12:08:51 PM
Sorry to be the bearer of bad news, but I think it is impossible to partition the 15 match ups into three rounds.


rdunnivan

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Reply #2 on: April 16, 2012, 01:39:54 PM
That's kind of what I began to suspect.  Can the first 2 rounds (10 games) follow that sort of pattern?

edit --

never mind.  If the first 2 rounds follow that pattern, then the third round would follow by default.
« Last Edit: April 16, 2012, 01:40:47 PM by rdunnivan »


joeyblack835

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Reply #3 on: August 08, 2021, 06:58:30 PM
This is a draft I'm currently using:

23 45 bye 1
14 35 bye 2
15 24 bye 3
25 13 bye 4
34 12 bye 5

24 35 bye 1
15 34 bye 2
25 14 bye 3
35 12 bye 4
13 24 bye 5

34 25 bye 1
45 13 bye 2
12 45 bye 3
23 15 bye 4
14 23 bye 5