Triangle-packing Ramsey number ($R(t{K}_3,t{K}_3)$)

For $t\ge 2$, the two-colour Ramsey number for $t$ vertex-disjoint triangles isEvery red-blue colouring of $K_{5t}$ therefore contains $t$ vertex-disjoint triangles of one colour, while a colouring of $K_{5t-1}$ can avoid such a packing in both colours.