Originally posted by MBM:
Perhaps, but I know you are going to translate that multi-colored matrixed/latticed "thingy dingy" that you've posted here over the years into something
that's going to make you a billionaire!
If only one could put a patent on theorems. Then I could get a royalty every time that somebody uses one of my theorems in a proof.
Of course, the flip side of that is that I'd have to pay a royalty every time that I make use of somebody else's theorem.
Of course then you'll have all sorts of groupies following you around!
I could always try to start a religion. After all, the two-color Ramsey Graph (the pentagram) has been used as a religious symbol. Why not the three-color Ramsey Graphs?
Actually, the two three-color Ramsey Graphs (with 16 vertices) that I showed were not discovered by me. I just made the pictures. One was discovered in 1955, and the other in 1968.
For me, the Holy Grail would be to find a four-color Ramsey Graph. It will have somewhere between 50 and 61 vertices. (What I did was to show that it could have no more than 61 vertices.)
The lower bound of 50 is due to Fan Chung in 1973. Maybe sometime I'll make a couple of pictures of her four-colorings on 50 vertices, and post them here. Those are the largest good four-colorings known, but nobody knows if they are any bigger ones.