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Brignall, Robert and Sliacan, Jakub
(2017).
URL: http://www.combinatorics.org/ojs/index.php/eljc/ar...
Abstract
This paper enumerates all juxtaposition classes of the form "Av(abc) next to Av(xy)", where abc is a permutation of length three and xy is a permutation of length two. We use Dyck paths decorated by sequences of points to represent elements from such a juxtaposition class. Context free grammars are then used to enumerate these decorated Dyck paths.