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Results tagged with ramsey-theory
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user 113219
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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Finding a monochromatic cycle in clique
1) what is the minimum $n$ such that in every $2$ - coloring of $K_n$ there exist a monochromatic copy of $C_m$ ?
2) moreover, what is the minimum $n$ such that in every $r$ - coloring of $K_n$ there …
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