Real world problem I am trying to solve:
6 women each make a patch for a quilt and mail it to another woman in the group who adds their patch and mails it to another woman. After the 6th woman adds her patch she mails it back to the original woman
1) each woman must receive a shipment each week that she has not seen before
2) each woman can only receive one shipment each week
3) since one woman lives overseas each woman must in turn mail to that woman

Basically sounds like 6 simultaneous Hamilton circuits with some constraints - any suggestions on how to solve?