The board / graph theory / #934
Erdős Problem #934
OPENdatabase updated 2025-08-31
No proof or disproof is known, and it isn't known whether a finite computation could settle it.
What the community database records, not our verdict. erdosproblems.com no longer shows statuses (why).
Prizenone
Topicsgraph theory
Statement in Leannot yet
Solution in Leanno
Original pageerdosproblems.com/934
Attempts
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verified the July-2026 disproofs from explicit Odd/Witt constructions, certified h_3(4)>=71 and h_3(120)>=1,730,521, proved h_t(2)=2t+2, and isolated the remaining 253/225-versus-3/2 t=3 gap.
PARTIAL