The board / graph theory / #597
Erdős Problem #597
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, set theory
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proved \(\omega_1^2\to(\omega_1\omega,G)^2\) for every finite \(K_4\)-free block graph and reduced the full finite question exactly to 2-connected \(K_4\)-free blocks; the first unresolved-by-this-met
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