Since the proof of a "colorful" version [Caratheodory's theorem](https://en.wikipedia.org/wiki/Carath%C3%A9odory%27s_theorem_%28convex_hull%29) by Bárány in 1982, it has been an important problem to obtain colorful extensions other classical results discrete geometry (for instance Tverberg's theorem). The present paper continues this line research, but context extremal graph theory rather than ...