Pattern avoiding alternating involutions

Abstract

We enumerate and characterize some classes of alternating and reverse alternating involutions avoiding a single pattern of length three or four. If on one hand the case of patterns of length three is trivial, on the other hand, the length four case is more challenging and involves sequences of combinatorial interest, such as Motzkin and Fibonacci numbers.

References in corpus (2)

• Pattern-Avoiding Involutions: Exact and Asymptotic Enumeration
• On Young tableau involutions and patterns in permutations