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, Volume 6, Issue 3, pp 227–233 | Cite as

Transposition generation of alternating permutations

  • Frank Ruskey
Article

Abstract

A permutationπ1π2...π n is alternating ifπ1<π2>π3<π4.... Alternating permutations are counted by the Euler numbers. Here we show that alternating permutations can be listed so that successive permutations differ by a transposition, ifn is odd. Extensions and open problems are mentioned.

AMS subject classifications (1980)

05A05 05C45 06A10 

Key words

Combinatorial generation alternating permutation transposition 

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Copyright information

© Kluwer Academic Publishers 1989

Authors and Affiliations

  • Frank Ruskey
    • 1
  1. 1.Department of Computer ScienceUniversity of VicotoriaVictoriaCanada

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