Fullerene-26 revisited : more vertices, less complexity

There is an example graph that makes for a better comparison between my code and the SSSRFinder. It is the 'fullerene-26' molecule that I used in a previous post. Unfortunately the diagram is wrong in that post; the one below has the correct vertex equivalence classes (colors):

The difference is just a pair of yellows that should have been pink (and v.v.) in the topmost C ring. Anyway, the graph is complex enough that there are different vertex symmetry classes without multiple bonds. Dodecahedrane, on the other hand, is so symmetric that without double bonds all vertices are the same.

So how does the SSSRfinder do? Well it considers all the rings to be different apart from two of the B rings. It is not reporting the final B ring, which could be considered as the bounding face of the map. In short, there are two equivalence classes (5-ring and 6-ring) which makes some kind of sense but isn't terribly informative.