Bitcoin client connected to some other peers via reliable network connection.
I was hoping for a bit better explanation than that.
Is 2 client connections well connected? How about 10? 30? Is well connected the quality of the network connection or the quality of the peer network connection? Or does it mean that the peers you are connecting to are trusted to be valid clients?
If I have a local network of 20 bitcoin clients running and all configured to connect to each other with one linking out to a single unknown external client, is any of those 20 well connected? Does the answer change if the single external client is known to be a valid client?