6 teams, 3 different games

[marchukish]

Hi guys,

I need to prepare a tournament schedule for 6 teams playing 3 different kind of games and really need some help on that.

So I have:
- 6 different teams
- 3 different games (for example football, basketball and volleyball) which is happening in parallel in different fields.
- 2 teams per game

- Ideally the same 2 teams does not play in a row and one team does not play same game in a row. (For example if TeamA plays football with TeamB, then TeamA and TeamB should not play next game together and none of those teams should play football again if possible)
- Each team should play with all other teams all 3 games (so Team A should play basketball, football, volleyball with team B, C, D, E, F - so 15 games in total for each team)

Thanks in advance! Any help would be appreciated.

[Ian Wakeling]

I think the schedule below might be suitable as it meets the last, and presumably most important requirement, to play all other teams at 3 games.  After that I have concentrated on your request to not play the same game twice in a row, it is not perfect as there are two places where C and D play twice in a row (see rounds 9-10 & rounds 12-13).

          Fb    Bb    Vb
Round 1  (C F) (A B) (D E)
Round 2  (A D) (C E) (B F)
Round 3  (B E) (A F) (C D)
Round 4  (D F) (B C) (A E)
Round 5  (A C) (E F) (B D)

Round 6  (B F) (A D) (C E)
Round 7  (C D) (B E) (A F)
Round 8  (A E) (D F) (B C)
Round 9  (B D) (A C) (E F)
Round 10 (D E) (C F) (A B)

Round 11 (B C) (A E) (D F)
Round 12 (E F) (B D) (A C)
Round 13 (A B) (D E) (C F)
Round 14 (C E) (B F) (A D)
Round 15 (A F) (C D) (B E)

Team D does not have the most even spread of types of game, they do not play basketball until round 6 for example.  Finally there should be a break of at least two rounds before the same pair of teams play again at a different sport.