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Results tagged with ramsey-theory
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user 146022
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 $n$.
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Is there a known proof that $R(5,5)\leq 47$ in Ramsey theory?
As an application to a model describing graphs with partial information, I found what might be an (as yet unverified) proof that $R(5,5)\leq 47$.
According to the Dynamic Survey of Ramsey Numbers at …
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