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- W4289148046 abstract "The Bollob'as set pairs inequality is a fundamental result in extremal set theory with many applications. In this paper, for $n geq k geq t geq 2$, we consider a collection of $k$ families $mathcal{A}_i: 1 leq i leq k$ where $mathcal{A}_i = { A_{i,j} subset [n] : j in [n] }$ so that $A_{1, i_1} cap cdots cap A_{k,i_k} neq emptyset $ if and only if there are at least $t$ distinct indices $i_1,i_2,dots,i_k$. Via a natural connection to a hypergraph covering problem, we give bounds on the maximum size $beta_{k,t}(n)$ of the families with ground set $[n]$." @default.
- W4289148046 created "2022-08-01" @default.
- W4289148046 creator A5015606585 @default.
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- W4289148046 date "2018-12-02" @default.
- W4289148046 modified "2023-09-27" @default.
- W4289148046 title "A generalization of the Bollob'as set pairs inequality" @default.
- W4289148046 doi "https://doi.org/10.48550/arxiv.1812.00537" @default.
- W4289148046 hasPublicationYear "2018" @default.
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