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Discrete Mathematics & Theoretical Computer Science |
We study permutation patterns from an algebraic combinatorics point of view. Using analogues of the classical shuffle and infiltration products for word, we define two new Hopf algebras of permutations related to the notion of permutation pattern. We show several remarkable properties of permutation patterns functions, as well their occurrence in other domains.
Source : ScholeXplorer
IsRelatedTo ARXIV 1805.08255 Source : ScholeXplorer IsRelatedTo DOI 10.1016/j.tcs.2018.02.007 Source : ScholeXplorer IsRelatedTo DOI 10.48550/arxiv.1805.08255
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