OpenAI reports the exact cycle–clique Ramsey numbers
- Mathematics
For all integers m≥n≥3 except (m,n)=(3,3), R(C_m,K_n)=(m−1)(n−1)+1; the exceptional value is R(C₃,K₃)=6.
OpenAI reports the exact cycle–clique Ramsey numbers
- Mathematics
For all integers m≥n≥3 except (m,n)=(3,3), R(C_m,K_n)=(m−1)(n−1)+1; the exceptional value is R(C₃,K₃)=6.
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Read the background
For all integers m≥n≥3 except (m,n)=(3,3), R(C_m,K_n)=(m−1)(n−1)+1; the exceptional value is R(C₃,K₃)=6.
Why it matters
If correct, resolves the cycle–clique Ramsey conjecture for every parameter pair.
What counts as progress
Does the proposed cycle–clique Ramsey formula hold for every m≥n≥3?
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