Subclasses of the separable permutations

Published 6 Jul 2010 in math.CO | (1007.1014v1)

Abstract: We prove that all subclasses of the separable permutations not containing Av(231) or a symmetry of this class have rational generating functions. Our principal tools are partial well-order, atomicity, and the theory of strongly rational permutation classes introduced here for the first time.

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