The board / graph theory / #809
Erdős Problem #809
OPENdatabase updated 2025-08-31
No proof or disproof is known, and it isn't known whether a finite computation could settle it.
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Prizenone
Topicsgraph theory, ramsey theory
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The live problem remains open only for C7; exact computation and an explicit certified witness give chi_S(10,26,C7)=13, while the uniform high-density path-length lemma needed for the n→∞ asymptotic i
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