Just wondering if there is a tournament scheduling algorithm already out there that I could use or even adapt slightly.

Here are my requirements:

• A variable number of opponents belonging to a variable number of teams/clubs each must be paired with an opponent
• Two opponents cannot be from the same club
• If there are an odd number of players, 1 of them randomly is selected to get a bye

Any algorithms related to this sort of requirement set would be appreciated.

EDIT: I only need to run this a maximum of one time, creating matchups for the first 'round' of the tournament.