On cross t-intersecting families of sets

摘要

For all p, t with 0<0.11 and 1≤t≤1/(2p), there exists n0 such that for all n, k with n>n0 and k=p the following holds: if A and B are k-uniform families on n vertices, and |A∩B|≥t holds for all A∈A and B∈B, then |A||B|≤(_(k-t)~(n-t))~2.