FreeMind is a premier free mind-mapping (http://en.wikipedia.org/wiki/Mind_map) software written in Java. The recent development has hopefully turned it into high productivity tool. We are proud that the operation and navigation of FreeMind is faster than that of MindManager because of one-click "fold / unfold" and "follow link" operations. More info »
If only programs like this freed themselves of the need to have a central/master/anchor concept.It's much easier if you can have the CHOICE of having a number of central nodes...like Compendim or cmap tools.
I think Freeplane (a fork of FreeMind) has implemented this feature -- try it out and let the developers know if it serves your purpose. The community seems more active and user focused, so you should get a response.
I love freemind. I just wish there was more active development going on with the project.
Check out Freeplane -- it's a fork of the FreeMind project on source forge ;)