The board / graph theory / #1111
Erdős Problem #1111
OPENdatabase updated 2025-12-07
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/1111
Attempts
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Proved the self-contained no-pair bounds chi<=7,6,5 for odd girth 5,7,>=9, reducing any d(3,3)<=7 improvement to the C5-layer case; also verified a minimum-order 22-vertex witness for d(3,3)>=6.
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