Are the vertices and connections stored or are you storing the seeding query and all consecutive queries? or both? Actually both could also make sense, since then the user could choose to freeze a graph or to make it react dynamically to index changes.
You can't currently save graph workspaces, it's something that's coming in 5.0
I know. I'm testing it right now in 5.0.0 beta. Should've mentioned that.
The seeding query is not stored - only the results.