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- W4229070577 abstract "For two posets $(P,le_P)$ and $(P',le_{P'})$, we say that $P'$ contains a copy of $P$ if there exists an injective function $fcolon P'to P$ such that for every two $X,Yin P$, $Xle_P Y$ if and only if $f(X)le_{P'} f(Y)$. Given two posets $P$ and $Q$, let the poset Ramsey number $R(P,Q)$ be the smallest integer $N$ such that any coloring of the elements of an $N$-dimensional Boolean lattice in blue or red contains either a copy of $P$ where all elements are blue or a copy of $Q$ where all elements are red. We determine the poset Ramsey number $R(A_t,Q_n)$ of an antichain versus a Boolean lattice for small $t$ by showing that $R(A_t,Q_n)=n+3$ for $3le tle log log n$." @default.
- W4229070577 created "2022-05-08" @default.
- W4229070577 creator A5051077012 @default.
- W4229070577 date "2022-05-04" @default.
- W4229070577 modified "2023-10-18" @default.
- W4229070577 title "Poset Ramsey Number $R(P,Q_n)$. II. Antichains" @default.
- W4229070577 doi "https://doi.org/10.48550/arxiv.2205.02275" @default.
- W4229070577 hasPublicationYear "2022" @default.
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