Abstract

LetX, Y be finite sets and suppose thatF is a collection of pairs of sets (F, G),F⊂X,G⊂Y satisfying |F∩F′|≥s, |G∩G′|≥t and |F∩F′|+|G∩G′|≥s+t+1 for all (F, G),F′, G′∈F. Extending a result of Sali, we determine the maximum ofF.

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