Ramsey number $R(3,8)$
The smallest number $n$ such that any two-coloring of the edges of the complete graph $K_n$ must contain either a monochromatic $K_{3}$ in the first color or a monochromatic $K_{8}$ in the second color.
Value: $28$
Updates
-
1982
Lower bound: $28$
C. Grinstead and S. Roberts, On the Ramsey Numbers R(3, 8) and R(3, 9), Journal of Combinatorial Theory, Series B, 33 (1982) 27-51.
[via Small Ramsey Numbers, Stanisław Radziszowski, 2024-09-06] -
1992
Upper bound: $28$
B.D. McKay and Zhang Ke Min, The Value of the Ramsey Number R(3, 8), Journal of Graph Theory, 16 (1992) 99-105.
[via Small Ramsey Numbers, Stanisław Radziszowski, 2024-09-06]