Define $R(m,n,k)$ and show that $R(3; 3; 3) = 17$
How would I solve this? I am slowly starting to wrap my head around 2 variable ramsey numbers but not quite on 3. Here I know that R(m,n,k) are vertexes which mean there are 17 vertices and that there are 3 different colored edges. And each of these colors create a monochromatic triangle of the m,n,k colors on a graph. How would I go about showing R(3,3,3) = 17.
Thank you for any guidance.