Exporting a graph with virtual relationship


I am fairly new to Neo4j and am struggling with exporting a graph with virtual relationships. The original graph has patterns like


However, for the moment I'm only interested in the relationship between nodes n and m. So, I used the virtual Relationship method to get this projection. I would like to export this graph and use some algorithms from the graph data science library, but I seem not to be able to export the graph.

Any help would be greatly appreciated.

As the name suggests a "virtual" relationship does not physically exists, it's just created in the response of a query. All the export functions in APOC do allow for exporting based on a cypher query returning nodes and relationships, see Export to GraphML - APOC Extended Documentation for an example.
Instead using real relationship you can of course return virtual relationships as well (haven't tried myself, but it should work).