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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 $n$.

5 votes

Algorithms for calculating R(5,5) and R(6,6)

I like intelligent brute force algorithms. While there may be more clever ones, the following is pretty simple. I will specialize it to the case of looking for $R(6,6)$. Suppose we have a list (or w …
The Masked Avenger's user avatar