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Indeed---as I said, your examples are more more to the heart of the matter! The isomorphism class trick seems to just be a bandaid to me since if you just extend the rule I stated to throw off "dust" of disconnected hyper-edges with each update,...
I was doing some work and a notebook of mine got corrupted. When I restarted I used ResourceFunction instead of the pre-packed little functions, so I got a new version of the MultiwaySystem function downloaded. This code used to work: ...