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Double deficiencies of Dyck paths via the Billey-Jockusch-Stanley bijection

Published 16 Aug 2017 in math.CO | (1708.05092v1)

Abstract: We prove a recent conjecture by Ren\'e Marczinzik involving certain statistics on Dyck paths that originate in the representation theory of Nakayama algebras of a linearly oriented quiver. We do so by analysing the effect of the Billey-Jockusch-Stanley bijection between Dyck paths and 321-avoiding permutations on these statistics, which was suggested by the result of a query issued to the online database FindStat.

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Authors (2)

  1. Martin Rubey 
  2. Christian Stump 

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