[GaryVoshol]

Ed, I understand your scenario. If Team1's opponents cumulatively have the same relative ranking (whatever the measurement) as Team2's, Team3's, ... TeamX's, then it doesn't matter who you play WITH. You might be playing with two powerhouses against 3 weaklings in one of your matches, but to make up for that you will be playing against powerhouses in another match.

My question is how you determine the initial conditions. For example, how do you rank the teams for Kettering in Week1? And then how do you rank the teams for Week2, given that the vast majority of those teams will be newbies that week - but there will be one or two teams at TC or Waterford who have played at Kettering.

I also question why for any given set of teams, the schedule that comes up must be unique? Surely there might be more than one schedule that meets the stipulated criteria equally well. Simply switching the order of matches might give some equally good permutations.