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Research / Jun 2026

The book Ramsey number R(B₈, B₁₀)

How many vertices force a red eight-page book or a blue ten-page book in every red–blue colouring of a complete graph?

Model / AI: AutoMath

machine-checked
Jun 2026

R(B_8,B_10) = 37

Model / AI: AutoMath

machine-checked

Kalfus and Lidický determined a book Ramsey number using AutoMath, which found both the problem formulation and the proof strategy; Lean formalization of the upper bound.

Source review pending. Imported from the original notes; linked claims and artifacts have not been re-audited in this restructuring.