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Should the title here not be "_Order_ Persists in Larger Graphs, New Math Proof Find"?
It would be more accurate to say that disorder _may_ persist in larger graphs than was previously known.
That's perfect. Thanks.
No, this was increasing the lower bound on certain Ramsey numbers.
This sounds like the setup to Graham’s Number. Are they connected, and if so, what’s special about Graham’s Number as compared to other Ramsey numbers?
Graham's number does indeed come out of Ramsey theory.
https://en.wikipedia.org/wiki/Graham%27s_number#Context
should tell you most of what you're looking to know.
Famed starcraft and hearthstone player Day9 has a great video about Graham's number