Strong qualitative independence

@article{Katona2004StrongQI,
  title={Strong qualitative independence},
  author={Gyula O. H. Katona},
  journal={Discrete Applied Mathematics},
  year={2004},
  volume={137},
  pages={87-95}
}
The subsetsA,B of the n-elementX are said to be s-strongly separating if the two sets divide X into 4 sets of size at least s. The maximum number h(n, s) of pairwise s-strongly separating subsets was asymptotically determined by Frankl [8] for fixed s and large n. A new proof is given. Also, estimates for h(n, cn) are found where c is a small constant. 

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