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• W1885887901 abstract "We investigate pattern avoidance in permutations satisfying some additional restrictions. These are naturally considered in terms of avoiding patterns in linear extensions of certain forest-like partially ordered sets, which we call binary shrub forests. In this context, we enumerate forests avoiding patterns of length three. In four of the five non-equivalent cases, we present explicit enumerations by exhibiting bijections with certain lattice paths bounded above by the line $y=ell x$, for some $ellinmathbb{Q}^+$, one of these being the celebrated Duchon's club paths with $ell=2/3$. In the remaining case, we use the machinery of analytic combinatorics to determine the minimal polynomial of its generating function, and deduce its growth rate." @default.
• W1885887901 created "2016-06-24" @default.
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• W1885887901 date "2016-07-21" @default.
• W1885887901 modified "2023-09-23" @default.
• W1885887901 title "Pattern avoidance in forests of binary shrubs" @default.
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• W1885887901 doi "https://doi.org/10.46298/dmtcs.1322" @default.
• W1885887901 hasPublicationYear "2016" @default.
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