Zynga Cityville Neighbors?

How do I delete them?  When I delete a neighbor under my neighbors it just throws them to the bottom of he list with the option of adding them again.  This keeps them in the list of people whom I can make requests to.  But since they do not play (hence, the reason for deleting in the first place) I do not want them to come up at all.  I tried undriending them (which did get rid of them under my neighbors) but once I added them again they reappeared under my neighbors in Cityville. I have had some assistance from zynga support and they are stumped.  Perhaps this will reach someone who knows.