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- W1593740639 abstract "We extend the concept of pattern avoidance in permutations on a totally ordered set to pattern avoidance in permutations on partially ordered sets. The number of permutations on $P$ that avoid the pattern $pi$ is denoted $Av_P(pi)$. We extend a proof of Simion and Schmidt to show that $Av_P(132) leq Av_P(123)$ for any poset $P$, and we exactly classify the posets for which equality holds." @default.
- W1593740639 created "2016-06-24" @default.
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- W1593740639 date "2015-08-13" @default.
- W1593740639 modified "2023-10-13" @default.
- W1593740639 title "Pattern Avoidance in Poset Permutations" @default.
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- W1593740639 doi "https://doi.org/10.1007/s11083-015-9367-7" @default.
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