For cross-intersecting families of k-subsets and ℓ-subsets with empty total intersection, the paper gives the exact second extremal product |A||B| and the unique extremal pairs when n ≥ 2ℓ > 2k or n > 2ℓ = 2k.
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Exact extremal non-trivial cross-intersecting families
For cross-intersecting families of k-subsets and ℓ-subsets with empty total intersection, the paper gives the exact second extremal product |A||B| and the unique extremal pairs when n ≥ 2ℓ > 2k or n > 2ℓ = 2k.