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Permutations generated by a stack of depth 2 and an infinite stack in series

Murray Elder
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Abstract

We prove that the set of permutations generated by a stack of depth two and an infinite stack in series has a basis (defining set of forbidden patterns) consisting of 20 permutations of length 5, 6, 7 and 8. We prove this via a ``canonical'' generating algorithm.

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Murray Elder. 2006-07-31. Permutations generated by a stack of depth 2 and an infinite stack in series. https://arxiv.org/abs/math/0510244

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