Ramsey number $R(3,11)$
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 $K_{11}$ in the second color.
Lower bound:
$47$
Upper bound:
$50$
Updates
-
2013
Lower bound: $47$
G. Exoo, On Some Small Classical Ramsey Numbers, Electronic Journal of Combinatorics, http://www.combinatorics.org, #P68, 20(1) (2013), 6 pages.
[via Small Ramsey Numbers, Stanisław Radziszowski, 2024-09-06] -
2013
Upper bound: $50$
J. Goedgebeur and S.P. Radziszowski, New Computational Upper Bounds for Ramsey Numbers R(3, k), Electronic Journal of Combinatorics, http://www.combinatorics.org, #P30, 20(1) (2013), 28 pages.
[via Small Ramsey Numbers, Stanisław Radziszowski, 2024-09-06]