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On the inverse image of pattern classes under bubble sort

Albert, Michael and Atkinson, Michael and Bouvel, Mathilde and Claesson, Anders and Dukes, Mark (2011) On the inverse image of pattern classes under bubble sort. Journal of Combinatorics, 2 (2). pp. 231-243. ISSN 2156-3527

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Abstract

Let B be the operation of re-ordering a sequence by one pass of bubble sort. We completely answer the question of when the inverse image of a principal pattern class under B is a pattern class.