This may be off topic, but I still want to find a solution.
The plantri software can generate planar graphs, but it may result in abstract isomorphism when generating planar graphs with a connectivity less than 3.
Note that in plantri, isomorphisms are defined with respect to the embeddings, so in some cases outputs may be isomorphic as abstract graphs.
For example, I want to get all 5-order simple (abstract) non-isomorphic graphs with vertex connectivity 1.
/plantri 5 -c1x -p -o -g
DjS
DjC
DhC
DiS
DiC
DiO
DyS
DqS
D~C
DzC
DzG
DxG
DyG
DrG
D}C
That is not I want to get. For example, the fourth graph and the twelfth graph are isomorphic. Actually, the above graphs can be screened to 11 mutually non-isomorphic graphs through isomorphism check.
So the issue is here. Does the Plantri software provide the option to screen out abstract non-isomorphic graphs in the process of which graphs it generated. I had seen this post before, however, I couldn't find what I want. The filtering mentioned above is done using Mathematica code.
DeleteDuplicatesBy[glist, CanonicalGraph];
