Well, I had them up it to 32M and everything is OK for the moment. It looks like they flushed the tables, which may have done the trick as well. As I had stated earlier, the memory on the other server was never raised to 32M for me.

I seem to be having an issue that is unrelated to Community Builder now, and leads me to wonder if the move to another server is still causing trouble for my Joomla install. Perhaps it is a misconfiguration on my part, but new articles are not showing up in my Latest News module.