Permutation patterns and statistics

Abstract

Let Sn denote the symmetric group of all permutations of {1, 2, . . . , n} and let S = ∪n≥0Sn. If Π ⊆ S is a set of permutations, then we let Avn(Π) be the set of permutations in Sn which avoid every permutation of Π in the sense of pattern avoidance. One of the celebrated notions in pattern theory is that of Wilfequivalence, where Π and Π′ are Wilf… (More)
DOI: 10.1016/j.disc.2012.05.014

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