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Enumeration schemes for restricted permutations

Vincent Vatter
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Abstract

Zeilberger's enumeration schemes can be used to completely automate the enumeration of many permutation classes. We extend his enumeration schemes so that they apply to many more permutation classes and describe the Maple package WILFPLUS, which implements this process. We also compare enumeration schemes to three other systematic enumeration techniques: generating trees, substitution decompositions, and the insertion encoding.

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Vincent Vatter. 2005-10-03. Enumeration schemes for restricted permutations. https://arxiv.org/abs/math/0510044

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