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A recurrence for linear extensions

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Abstract

The number e(P) of linear extensions of a finite poset P is expressed in terms of e(Q) for certain smaller posets Q. The proof is based on M. Schützengerger's concept of promotions of linear extensions.

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Authors and Affiliations

  1. Department of Mathematics, University of Minnesota, 55455, Minneapolis, MN, U.S.A.

    Paul Edelman

  2. Department of Mathematics, Faculty of Science, Nagoya University, Chikusa-ku, 464, Nagoya, Japan

    Takayuki Hibi

  3. Department of Mathematics, Massachusetts Institute of Technology, 02139, Cambridge, MA, U.S.A.

    Richard P. Stanley

Authors
  1. Paul Edelman
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  2. Takayuki Hibi
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  3. Richard P. Stanley
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Additional information

Communicated by I. Rival

Partially supported by NSF Grant #DMS-8700995.

Partially supported by NSF Grant #DMS-8401376.

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Edelman, P., Hibi, T. & Stanley, R.P. A recurrence for linear extensions. Order 6, 15–18 (1989). https://doi.org/10.1007/BF00341632

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  • DOI: https://doi.org/10.1007/BF00341632

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