My organisation is primarily (but not solely) a network of other organisations, so on Civi we have lots of "organisation" contact types, and lots of individual contacts. Some of these individuals are representative or contact person of their organisation to our organisation. I use the relationship tool to connect individuals to organisations as respresentatives (I made a new relationship type), and that works really well.
Some organisations haven't nominated someone to be a rep, or we haven't got them into CiviCRM properly yet (we're still slowly setting up). What I'm struggling to work out is how to run a search of organisations which don't yet have that relationship type with anyone. Is this possible anyhow?