Hypergraph if n=Rd(r;ki,k2,...kr), for anyroring of(),there exists a monochromatic (with color i and ISl=ki for some ie1,2,...r. completeom r.coloring.complete t-uniform hypergraph ￾[n] t ⇥ t Hypergraph r-coloring f : ￾[n] ⇥ ￾ {1, 2,...,r} if n ≥ Rt(r; k1, k2, ... , kr), for any r-coloring of , there exists a monochromatic with color i and |S|=ki for some i∈{1, 2, ..., r}. ￾[n] t ⇥ ￾S t ⇥