Its actually pretty hard for even humans to eyeball a graph and figure it out. For example, the wiki article on the peterson graph (https://en.wikipedia.org/wiki/Petersen_graph) has a few drawings that you cant easily say are the same graph.
I would think adding more salt would only worsen the problem. Adding soluble salts are used to precipitate other salts (e.g common ion effect). Not sure how valid that is here tho.