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Fast factorization in diagram monoids

Fresacher, Matthias et al.
arXiv (All) · Papers
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combinatoricsdata-structures-and-algorithmsrings-and-algebras
We give explicit algorithms that factor elements of the standard diagram monoids into their usual generators. These algorithms generalize sorting from permutations to partial matchings and set partitions. In every case the worst-case complexity is $n^2$, which is optimal for algorithms that explicit
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