6-person doubles

[rein]

Is there a schedule for 6 people in a group, playing round robin such that each player partners once with each of the others?

[Ian Wakeling]

Unfortunately this schedule does not exist.  With 6 people there are an odd number of possible partnerships (15), however any schedule involving a whole number of doubles games, must have an even number of partnerships.

[rein]

Thank you.

[J-Rod]

Though an odd number, do you have a 6x6 co-ed round-robin schedule?

[Ian Wakeling]

Something like this?

(M1 F2 : M6 F3)      (M2 F1 : M4 F4)
(M3 F4 : M5 F3)      (M4 F6 : M6 F5)
(M1 F6 : M3 F1)      (M2 F5 : M5 F2)
(M3 F5 : M6 F4)      (M4 F3 : M5 F6)
(M1 F5 : M2 F6)      (M5 F1 : M6 F2)
(M1 F3 : M2 F4)      (M3 F2 : M4 F1)
(M1 F4 : M4 F2)      (M2 F3 : M6 F1)
(M1 F1 : M5 F5)      (M2 F2 : M3 F6)
(M3 F3 : M4 F5)      (M5 F4 : M6 F6)

Which has all opposite sex pairs partner and oppose exactly once.  Several years ago I tried hard to find an equivalent schedule where the games could be played in 6 rounds of 3 games, as opposed to the 9 rounds of 2 games as above, but my computer search did not find any examples of the former.

[J-Rod]

Yes - that's perfect !  Thanks sooo much !