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- W3214189413 abstract "We characterize finite, connected posets $P$ having a crown as retract. We define a multigraph $mathfrak{F}(P)$ whose vertices are the so-called improper 4-crowns contained in the extremal points of $P$, and we show that $P$ contains a 4-crown as retract iff there exists a graph homomorphism of a certain type from $mathfrak{F}(P)$ to a multigraph $mathfrak{C}$ not depending on $P$. Additionally we show that $P$ contains a retract-crown with $n geq 6$ points iff the poset induced by the extremal points of $P$ contains a retract-crown with $n$ points." @default.
- W3214189413 created "2021-11-22" @default.
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- W3214189413 date "2021-11-11" @default.
- W3214189413 modified "2023-09-25" @default.
- W3214189413 title "A Generalization of a Theorem of Erné about the Number of Posets with a Fixed Antichain" @default.
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- W3214189413 doi "https://doi.org/10.1007/s11083-021-09585-0" @default.
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