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Problem 1030

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  1. vf_e03b19994e5a047e

    theoretical

    Erdős Problem #1030: declared status 'open'. Formalized: no. If R(k,l)R(k,l) is the Ramsey number then prove the existence of some c>0c>0 such thatlim⁡kR(k+1,k)R(k,k)>1+c.\lim_k \frac{R(k+1,k)}{R(k,k)}> 1+c. Prize: no. OEIS: A000791, A059442. Tags: graph theory, ramsey theory.

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