Archiv der Mathematik

, Volume 101, Issue 5, pp 427–436 | Cite as

Sorting and generating reduced words



We introduce a partial order on the set of all reduced words of a given permutation ω, called directed-braid poset of ω. This poset enables us to produce two algorithms: One is a sorting algorithm applied to any reduced word of ω and aims to obtain the natural word (i.e. lexicographically largest reduced word); the other one is a generation algorithm applied to the natural word and returns the set of all reduced words of ω.


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© Springer Basel 2013

Authors and Affiliations

  1. 1.Boğaziçi Üniversitesi, Matematik BölümüBebekTurkey

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