Subclasses of the separable permutations

Details Subclasses of the separable permutations Subclasses of the separable permutations

2010-07-06

arxiv.org/abs/1007.1014v1

Mathematics

Combinatorics

Scientific paper

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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