@incollection {bra:ulc,
    AUTHOR = {Br\"and\'en, Petter},
     TITLE = {Unimodality, log-concavity, real-rootedness and beyond},
 BOOKTITLE = {Handbook of enumerative combinatorics},
    SERIES = {Discrete Math. Appl. (Boca Raton)},
     PAGES = {437--483},
 PUBLISHER = {CRC Press, Boca Raton, FL},
      YEAR = {2015},
   MRCLASS = {05Axx (05D40 05E10)},
  MRNUMBER = {3409348},
}

@incollection {bre:lcu,
    AUTHOR = {Brenti, Francesco},
     TITLE = {Log-concave and unimodal sequences in algebra, combinatorics,
              and geometry: an update},
 BOOKTITLE = {Jerusalem combinatorics '93},
    SERIES = {Contemp. Math.},
    VOLUME = {178},
     PAGES = {71--89},
 PUBLISHER = {Amer. Math. Soc., Providence, RI},
      YEAR = {1994},
   MRCLASS = {05A20 (05-02)},
  MRNUMBER = {1310575},
MRREVIEWER = {Christian\ Krattenthaler},
       DOI = {10.1090/conm/178/01893},
       URL = {https://doi.org/10.1090/conm/178/01893},
}

@article {gre:est,
    AUTHOR = {Greene, Curtis},
     TITLE = {An extension of {S}chensted's theorem},
   JOURNAL = {Advances in Math.},
  FJOURNAL = {Advances in Mathematics},
    VOLUME = {14},
      YEAR = {1974},
     PAGES = {254--265},
   MRCLASS = {05A17},
  MRNUMBER = {354395},
MRREVIEWER = {A.\ O.\ Morris},
       DOI = {10.1016/0001-8708(74)90031-0},
       URL = {https://doi.org/10.1016/0001-8708(74)90031-0},
}

@article {knu:pmg,
    AUTHOR = {Knuth, Donald E.},
     TITLE = {Permutations, matrices, and generalized {Y}oung tableaux},
   JOURNAL = {Pacific J. Math.},
  FJOURNAL = {Pacific Journal of Mathematics},
    VOLUME = {34},
      YEAR = {1970},
     PAGES = {709--727},
   MRCLASS = {05.30},
  MRNUMBER = {272654},
MRREVIEWER = {M.\ Doob},
       URL = {http://projecteuclid.org/euclid.pjm/1102971948},
}

@incollection {LS:mp,
    AUTHOR = {Lascoux, Alain and Sch\"utzenberger, Marcel-P.},
     TITLE = {Le mono\"ide plaxique},
 BOOKTITLE = {Noncommutative structures in algebra and geometric
              combinatorics ({N}aples, 1978)},
    SERIES = {Quad. ``Ricerca Sci.''},
    VOLUME = {109},
     PAGES = {129--156},
 PUBLISHER = {CNR, Rome},
      YEAR = {1981},
   MRCLASS = {20C30 (05A99 20M10)},
  MRNUMBER = {646486},
MRREVIEWER = {Hubert\ Grassmann},
}

@book {sag:sg,
    AUTHOR = {Sagan, Bruce E.},
     TITLE = {The symmetric group},
    SERIES = {Graduate Texts in Mathematics},
    VOLUME = {203},
   EDITION = {Second},
      NOTE = {Representations, combinatorial algorithms, and symmetric
              functions},
 PUBLISHER = {Springer-Verlag, New York},
      YEAR = {2001},
     PAGES = {xvi+238},
   MRCLASS = {05E10 (05E05 20C30)},
  MRNUMBER = {1824028},
       DOI = {10.1007/978-1-4757-6804-6},
       URL = {https://doi.org/10.1007/978-1-4757-6804-6},
}


@book {sag:aoc,
    AUTHOR = {Sagan, Bruce E.},
     TITLE = {Combinatorics: the art of counting},
    SERIES = {Graduate Studies in Mathematics},
    VOLUME = {210},
 PUBLISHER = {American Mathematical Society, Providence, RI},
      YEAR = {[2020] \copyright 2020},
     PAGES = {xix+304},
   MRCLASS = {05-01 (05Axx 05Exx 06-01)},
  MRNUMBER = {4249619},
MRREVIEWER = {Ulrich\ Tamm},
       DOI = {10.1090/gsm/210},
       URL = {https://doi.org/10.1090/gsm/210},
}

@article {sch:lid,
    AUTHOR = {Schensted, C.},
     TITLE = {Longest increasing and decreasing subsequences},
   JOURNAL = {Canadian J. Math.},
  FJOURNAL = {Canadian Journal of Mathematics. Journal Canadien de
              Math\'ematiques},
    VOLUME = {13},
      YEAR = {1961},
     PAGES = {179--191},
   MRCLASS = {05.00},
  MRNUMBER = {121305},
MRREVIEWER = {D.\ E.\ Rutherford},
       DOI = {10.4153/CJM-1961-015-3},
       URL = {https://doi.org/10.4153/CJM-1961-015-3},
}

@article {sch:qrc,
    AUTHOR = {Sch\"utzenberger, M. P.},
     TITLE = {Quelques remarques sur une construction de {S}chensted},
   JOURNAL = {Math. Scand.},
  FJOURNAL = {Mathematica Scandinavica},
    VOLUME = {12},
      YEAR = {1963},
     PAGES = {117--128},
   MRCLASS = {05.24},
  MRNUMBER = {190017},
MRREVIEWER = {W.\ E.\ Coppage},
       DOI = {10.7146/math.scand.a-10676},
       URL = {https://doi.org/10.7146/math.scand.a-10676},
}

@book {sta:osp,
    AUTHOR = {Stanley, Richard P.},
     TITLE = {O{rdered} {structures} {and} {partitions}},
      NOTE = {Thesis (Ph.D.)--Harvard University},
 PUBLISHER = {ProQuest LLC, Ann Arbor, MI},
      YEAR = {1971},
     PAGES = {(no paging)},
   MRCLASS = {99-05},
  MRNUMBER = {2940070},
       URL =
              {http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation&res_dat=xri:pqdiss&rft_dat=xri:pqdiss:0237331},
}

@incollection {sta:lcu,
    AUTHOR = {Stanley, Richard P.},
     TITLE = {Log-concave and unimodal sequences in algebra, combinatorics,
              and geometry},
 BOOKTITLE = {Graph theory and its applications: {E}ast and {W}est ({J}inan,
              1986)},
    SERIES = {Ann. New York Acad. Sci.},
    VOLUME = {576},
     PAGES = {500--535},
 PUBLISHER = {New York Acad. Sci., New York},
      YEAR = {1989},
   MRCLASS = {05E15 (05E10 20C15 52B20)},
  MRNUMBER = {1110850},
MRREVIEWER = {L.\ Bruce\ Richmond},
       DOI = {10.1111/j.1749-6632.1989.tb16434.x},
       URL = {https://doi.org/10.1111/j.1749-6632.1989.tb16434.x},
}


@book {sta:ec1,
    AUTHOR = {Stanley, Richard P.},
     TITLE = {Enumerative combinatorics. {V}olume 1},
    SERIES = {Cambridge Studies in Advanced Mathematics},
    VOLUME = {49},
   EDITION = {Second},
 PUBLISHER = {Cambridge University Press, Cambridge},
      YEAR = {2012},
     PAGES = {xiv+626},
   MRCLASS = {05-02 (05A15 06-02)},
  MRNUMBER = {2868112},
}

@book {sta:ec2,
    AUTHOR = {Stanley, Richard P.},
     TITLE = {Enumerative combinatorics. {V}ol. 2},
    SERIES = {Cambridge Studies in Advanced Mathematics},
    VOLUME = {208},
   EDITION = {Second},
      NOTE = {With an appendix by Sergey Fomin},
 PUBLISHER = {Cambridge University Press, Cambridge},
      YEAR = {[2024] \copyright 2024},
     PAGES = {xvi+783},
      ISBN = {978-1-009-26249-1; 978-1-009-26248-4},
   MRCLASS = {05-02 (05A15 05E05 05E10)},
  MRNUMBER = {4621625},
}

@manual{sagemath,
  Key          = {SageMath},
  Author       = {{The Sage Developers}},
  Title        = {{S}ageMath, the {S}age {M}athematics {S}oftware {S}ystem ({V}ersion 9.1.0)},
  url         = {https://www.sagemath.org},
  Year         = {2020}
}