A maxdrop statistic for standard Young tableaux

Mark Dukes, Toufik Mansour

Research output: Contribution to journalArticlepeer-review


In this paper, we introduce a new statistic on standard Young tableaux that is closely related to the maxdrop permutation statistic that was introduced by the first author. We prove that the value of the statistic must be attained at one of the corners of the standard Young tableau. We determine the coefficients of the generating function of this statistic over two-row standard Young tableaux having n cells. We prove several results for this new statistic that include unimodality of the coefficients for the two-row case.

Original languageEnglish
Article number2150105
JournalDiscrete Mathematics, Algorithms and Applications
Issue number2
StatePublished - 2021

Bibliographical note

Publisher Copyright:
© 2021 World Scientific Publishing Company.


  • Standard Young tableaux
  • generating function
  • involutions
  • maxdrop statistic

ASJC Scopus subject areas

  • Discrete Mathematics and Combinatorics


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