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Unique Path Partitions: Characterization and Congruences

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Abstract

We give a complete classification of the unique path partitions and study congruence properties of the function which enumerates such partitions.

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Authors and Affiliations

  1. Institut für Algebra, Zahlentheorie und Diskrete Mathematik, Leibniz Universität Hannover, Welfengarten 1, D-30167, Hannover, Germany

    Christine Bessenrodt

  2. Department of Mathematical Sciences, University of Copenhagen, Universitetsparken 5, DK-2100, Copenhagen Ø, Denmark

    Jørn B. Olsson

  3. Department of Mathematics, Penn State University, 104 McAllister Building, University Park, PA, 16802, USA

    James A. Sellers

Authors
  1. Christine Bessenrodt
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  2. Jørn B. Olsson
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  3. James A. Sellers
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Correspondence to James A. Sellers.

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Bessenrodt, C., Olsson, J.B. & Sellers, J.A. Unique Path Partitions: Characterization and Congruences. Ann. Comb. 17, 591–602 (2013). https://doi.org/10.1007/s00026-013-0206-5

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  • DOI: https://doi.org/10.1007/s00026-013-0206-5

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