A new construction for cancellative families of sets (Q1918871)
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scientific article; zbMATH DE number 907636
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A new construction for cancellative families of sets |
scientific article; zbMATH DE number 907636 |
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A new construction for cancellative families of sets (English)
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21 July 1996
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Summary: We say a family, \(H\), of subsets of an \(n\)-element set is cancellative if \(A\cup B= A\cup C\) implies \(B= C\) when \(A, B, C\in H\). 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 and of Bollobás.
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cancellative families
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0.87382597
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0.8596844
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0.8523469
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