A lower bound on the Ramsey number $R_k(k+1,k+1)$

We will prove that $R_{k} (k + 1, k + 1) \geq 4 t w_{⌊ k / 4 ⌋ - 3} (2)$ , where $t w$ is the tower function defined by ${t w}_{1} (x) = x$ and ${t w}_{i + 1} (x) = 2^{{t w}_{i} (x)}$ . We also give proofs of $R_{k} (k + 1, k + 2) \geq 4 t w_{k - 7} (2)$ , $R_{k} (k + 1, 2 k + 1) \geq 4 t w_{k - 3} (2)$ , and $R_{k} (k + 2, k + 2) \geq 4 t w_{k - 4} (2)$ .

A lower bound on the Ramsey number $R_{k} (k + 1, k + 1)$

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A lower bound on the Ramsey number $R_{k} (k + 1, k + 1)$

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A lower bound on the Ramsey number Rk(k+1,k+1)Rk​(k+1,k+1)

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A lower bound on the Ramsey number Rk(k+1,k+1)Rk​(k+1,k+1)

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A lower bound on the Ramsey number $R_{k} (k + 1, k + 1)$

讲解博客

AI智能校验

A lower bound on the Ramsey number $R_{k} (k + 1, k + 1)$

讲解博客

AI智能校验