It should not be an issue. The class boost::adjacency_list<....>
is serializable. See the file
#include <boost/graph/adj_list_serialize.hpp>
Simply make sure your properties AINGNodeData, AINGEdgeData
are serializable, the library should take care of the rest. If properties are simple types or containers (e.g. std::string), it would be enough to make sure the proper serialization header is included, e.g.
#include <boost/serialization/string.hpp>
#include <boost/serialization/vector.hpp>
Good luck.