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Branch of combinatorics with the philosophy that 'total disorder is impossible'. For example, Ramsey's theorem asserts that for each $n$, every sufficiently large graph either contains a clique of size $n$ or a stable set of size $n$.

2 votes

Games and Ramsey's theorem

If you mean completely Ramsey sets there is the following characterization using the Kastanas game. Let's start with some definitions : Here the letters $a, b, c, ...$ vary over finite subsets of $\ …
Gabriel Medina's user avatar