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Archiv der Mathematik

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

Sorting and generating reduced words

  • Olcay Coşkun
  • Müge Taşkın
Article

Abstract

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.

Keywords

Partial Order Generation Algorithm Coxeter Group Lexicographic Order Sort Algorithm 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Basel 2013

Authors and Affiliations

  1. 1.Boğaziçi Üniversitesi, Matematik BölümüBebekTurkey

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