Does that mean something for our usage of graph? Is there folks out-there who would benefit from being able to know stuff about a graph just by knowing it has p

Does that mean something for our usage of graph? Is there folks out-there who would benefit from being able to know stuff about a graph just by knowing it has pentagon in it? ( or vice versa ) The article is enjoyable to read. I smiled at "well, we can't do a general proof at the moment, and it might be a lot of work to do so still. But, if we put a hat on the pentagon, we can prove it"