I was wondering if there is a name for this type of graph (does it even belong to the class of graphs ?) :
A graph that allows edges between a node and an edge. So if we call our nodes A, B and C then we have something like Edge(A,B) and Edge(C, Edge(A,B)).

Graph description : three nodes A, B and C. Edge(A,B) Edge(C, Edge(A,B))
I've looked around but I can't find a name for this type of graph, I only known it's not:
- hypergraph (i'm not interested in edges between multiple nodes)
- multigraph (several edges between the same pair of nodes)
I'd be greatful for your help !