Unimodal Permutations and Almost-Increasing Cycles

Abstract

In this paper, we establish a natural bijection between the almost-increasing cyclic permutations of length n and unimodal permutations of length n − 1. This map is used to give a new characterization, in terms of pattern avoidance, of almostincreasing cycles. Additionally, we use this bijection to enumerate several statistics on almost-increasing cycles… (More)

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