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- W3012602406 abstract "Given a union-closed family $mathcal{F}$ of subsets of the universe $[n]$, with $mathcal{F}$ not equal to the power set of $[n]$, a new subset $A$ can be added to it such that the resulting family remains union-closed. We construct a new family $overline{mathcal{F}}$ by adding to $mathcal{F}$ all such $A$'s, and call this the closure of $mathcal F$. This paper is dedicated to the study of various properties of such closures, including characterizing families whose closures equal the power set of $[n]$, providing a criterion for the existence of closure roots of such families etc." @default.
- W3012602406 created "2020-03-27" @default.
- W3012602406 creator A5075799861 @default.
- W3012602406 date "2020-03-20" @default.
- W3012602406 modified "2023-09-27" @default.
- W3012602406 title "Closures of Union-Closed Families" @default.
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- W3012602406 hasPublicationYear "2020" @default.
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