Da-Ke He, Ashish Jagmohan, et al.
ISIT 2007
Following [2], we say a family, H, of subsets of a n-element set is cancellative if A ∪ B = A ∪ C implies B = C when A, B, C ∈ H. We show how to construct cancellative families of sets with c2.54797n elements. This improves the previous best bound c2.52832n and falsifies conjectures of Erdös and Katona [3] and Bollobas [1].
Da-Ke He, Ashish Jagmohan, et al.
ISIT 2007
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IEEE International Symposium on Information Theory - Proceedings
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SPIE Advanced Lithography 2007
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IEEE International Symposium on Information Theory - Proceedings