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- W2963906655 abstract "Let F be a family of subsets of {1,…,n}. We say that F is P-free if the inclusion order on F does not contain P as an induced subposet. The Turán function of P, denoted La⁎(n,P), is the maximum size of a P-free family of subsets of {1,…,n}. We show that La⁎(n,P)≤(4r+O(r))(n⌊n/2⌋) if P is an r-element poset of height at most 2. We also show that La⁎(n,Sr)=(r+O(r))(n⌊n/2⌋) where Sr is the standard example on 2r elements, and that La⁎(n,2[2])≤(2.583+o(1))(n⌊n/2⌋), where 2[2] is the 2-dimensional Boolean lattice." @default.
- W2963906655 created "2019-07-30" @default.
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- W2963906655 date "2015-11-01" @default.
- W2963906655 modified "2023-09-29" @default.
- W2963906655 title "Set families with forbidden subposets" @default.
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- W2963906655 doi "https://doi.org/10.1016/j.jcta.2015.06.002" @default.
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