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arXiv · 1407.0570

The permutation classes Av(1234,2341) and Av(1243,2314)

David Bevan
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Abstract

We investigate the structure of the two permutation classes defined by the sets of forbidden patterns {1234,2341} and {1243,2314}. By considering how the Hasse graphs of permutations in these classes can be built from a sequence of rooted source graphs, we determine their algebraic generating functions. Our approach is similar to that of "adding a slice", used previously to enumerate various classes of polyominoes and other combinatorial structures. To solve the relevant functional equations, we make extensive use of the kernel method.

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David Bevan. 2015-01-21. The permutation classes Av(1234,2341) and Av(1243,2314). https://arxiv.org/abs/1407.0570

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