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Problem 544

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  1. vf_874054aaa220faaf

    theoretical

    Erdős Problem #544: declared status 'open'. Formalized: no. Show thatR(3,k+1)−R(3,k)→∞R(3,k+1)-R(3,k)\to\inftyas k→∞k\to \infty. Similarly, prove or disprove thatR(3,k+1)−R(3,k)=o(k).R(3,k+1)-R(3,k)=o(k). Prize: no. OEIS: A000791. Tags: graph theory, ramsey theory.

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