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- W2950502051 abstract "In this paper, we consider pattern avoidance in a subset of words on ${1,1,2,2,dots,n,n}$ called reverse double lists. In particular a reverse double list is a word formed by concatenating a permutation with its reversal. We enumerate reverse double lists avoiding any permutation pattern of length at most 4 and completely determine the corresponding Wilf classes. For permutation patterns $rho$ of length 5 or more, we characterize when the number of $rho$-avoiding reverse double lists on $n$ letters has polynomial growth. We also determine the number of $1cdots k$-avoiders of maximum length for any positive integer $k$." @default.
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- W2950502051 date "2017-04-27" @default.
- W2950502051 modified "2023-09-27" @default.
- W2950502051 title "Pattern Avoidance in Reverse Double Lists" @default.
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