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Off-diagonal Ramsey exponent reference
Family 170: Sharp logarithmic exponents for off-diagonal Ramsey numbers. First application triage, 9 October 2026 Australia/Brisbane.
Problem and potential new use
Combinatorics researchers can compare asymptotic construction targets for fixed s at least five.
Applicability and commercial boundary
The logarithmic exponent with o(1) does not produce practical finite Ramsey numbers or a fast graph constructor.
Initial business decision
Research or conditional engineering only until an effective implementation and a recurring buyer problem are identified. No commercial demand or profitability is established. Where a direct product bridge is weak, the legitimate use is a research reference or evidence adapter, rather than a new standalone company.
Next verification action
Inspect explicit constructions and admissible finite ranges.
Evidence scope
The catalog statement was individually reviewed. The manuscript proof and selected formal statement have not yet been compared in depth for this family. No independent proof verification was run. Pinned source revision fd4aeeb2ee4fc729c18d98444fed42fd0529eeeb. See source metadata.