Round Robin Tournament Scheduling

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Title: Mixed doubles format for 6 couples over 5 matches
Post by: Matt(Guest) on December 30, 2005, 02:12:12 PM

Need to schedule round robin mixed doubles format for 6 couples 5 matches whereby each man will be partnered with someone elses wife, and each husband will compete against the other husbands.  Can anyone help?

Saturday, September 3 2005, 01:52 pm
Mercer Island

Title: Re: Mixed doubles format for 6 couples over 5 matches
Post by: Ian Wakeling on December 30, 2005, 07:08:25 PM

Matt,

Spouse avoiding mixed doubles round robin tournaments do exist, unfortunately it can't be made to work for 6 couples^*.

If it is of any help, you can have a tournament for 5 couples where on each of 5 rounds a husband (H) and wife (W) pair sit it out or umpire.

     Match 1             Match 2        Umpires
-----------------   -----------------   -------
(H2 W4) v (H5 W3)   (H3 W2) v (H4 W5)   (H1 W1)
(H1 W4) v (H3 W5)   (H4 W3) v (H5 W1)   (H2 W2)
(H1 W2) v (H5 W4)   (H2 W5) v (H4 W1)   (H3 W3)
(H1 W5) v (H2 W3)   (H3 W1) v (H5 W2)   (H4 W4)
(H1 W3) v (H4 W2)   (H2 W1) v (H3 W4)   (H5 W5)

In the above, each husband partners the other wives exactly once, and opposes the other husbands and wifes exactly once.

Regards,
Ian.

Monday, September 5 2005, 09:01 am

^*This is related to Euler's conjecture and the 36 officers problem which has no solution.

Thanks Ian, you have made a hat trick (http://www.worldwidewords.org/qa/qa-hat1.htm) of excellent answers -- Richard