[Boost-users] question about subgraphs

I am using boost 1.33.0. I want to use a subgraph to represent a spanning tree of a graph. This application requires adding and deleteing edges to just the tree and not the underlining graph though. Note that this wouldn't violate the requirements of a subgraph, a spanning tree contains all the vertices, and a subset of the edges of the underlining graph. Is it possible to do this, maybe through inheritance?