Magic Scheduling Algorithms

I'm finishing up my Guide to Round Robin
Scheduling, but I've hit a snag. I've found algorithms to
easily generate fair schedules for three cases of
tournament:
- Submission tournaments with even numbers of
teams
- Submission tournaments with odd numbers of
teams
- Central-source tournaments with odd numbers of
teams

For these three cases, I can create schedules for any
number of teams that fairly distribute both the pairings
and room frequency (that is, each team sees each
moderator about the same number of times). I can generate
pairings for a central-source tournament with an even
number of teams (no byes), but I can't figure out one
for the room frequency. Anyone have any
hints?

Edmund

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