Cyclic permutations avoiding pairs of patterns of length three

We complete the enumeration of cyclic permutations avoiding two patterns of length three each by providing explicit formulas for all but one of the pairs for which no such formulas were known. The pair $(123,231)$ proves to be the most difficult of these pairs. We also prove a lower bound for the gr...

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Bibliographic Details
Main Authors: Miklos Bona, Michael Cory
Format: Article
Language:English
Published: Discrete Mathematics & Theoretical Computer Science 2019-11-01
Series:Discrete Mathematics & Theoretical Computer Science
Subjects:
Online Access:https://dmtcs.episciences.org/5014/pdf