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.
Barnabei, M., Bonetti, F., Castronuovo, N., Silimbani, M. (2022). Pattern avoiding alternating involutions. ENUMERATIVE COMBINATORICS AND APPLICATIONS., 3(1), 1-14 [10.54550/ECA2023V3S1R4].
Pattern avoiding alternating involutions
Barnabei, MarilenaPrimo
Membro del Collaboration Group
;Bonetti, FlavioSecondo
Membro del Collaboration Group
;Silimbani, Matteo
Ultimo
Membro del Collaboration Group
2022
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.File in questo prodotto:
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