Aric Hagberg, NetworkX's developer, is pretty responsive to questions
on the Networkx-discuss google group, and could better answer that
question.
We were getting use of multiple _cores_ on current flow betweenness
centrality calculations previously (with Intel MKL version of numpy),
but I don't believe that's true with the current version anymore.
Aspects of the centrality algorithms as currently coded seem to make
it difficult to derive much benefit from using multiple threads.
Actually, on a related topic, our current multi-threading of LEMON is
not efficient, the LEMON developers are hoping for better support for
multiple threads in the next version.
From your mention of flow betweenness, I'm not sure if you are
planning on using one of the LEMON or Networkx-based functions, as
flow betweenness to me indicates use of the LEMON maximum flow
functions (although some of these have since been implemented in
NetworkX).