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@Misc{Sage-Combinat,
      Author = {The {S}age-{C}ombinat community},
      Title = {{S}age-{C}ombinat: enhancing {S}age as a toolbox for computer exploration in algebraic combinatorics},
      url= {http://combinat.sagemath.org},
      Year = 2008}

@manual{sage,
  Key          = {SageMath},
  Author       = {{The Sage Developers}},
  Title        = {{S}ageMath, the {S}age {M}athematics {S}oftware {S}ystem (Version 9.0)},
  Year         = {2021},
}

@article {Sloane,
     AUTHOR = {Sloane, Neil James Alexander},
      TITLE = {The on-line encyclopedia of integer sequences},
    JOURNAL = {Notices Amer. Math. Soc.},
   FJOURNAL = {Notices of the American Mathematical Society},
     VOLUME = {50},
       YEAR = {2003},
     NUMBER = {8},
      PAGES = {912--915},
       ISSN = {0002-9920},
      CODEN = {AMNOAN},
    MRCLASS = {11Y55 (05-00 11-00 11B83)},
   MRNUMBER = {1992789 (2004f:11151)},
 MRREVIEWER = {Christian Krattenthaler},
}

@article {stan_schutz,
    AUTHOR = {Stanley, Richard P.},
     TITLE = {Promotion and evacuation},
   JOURNAL = {Electron. J. Combin.},
  FJOURNAL = {Electronic Journal of Combinatorics},
    VOLUME = {16},
      YEAR = {2009},
    NUMBER = {2, Special volume in honor of Anders Bjorner},
     PAGES = {Research Paper 9, 24},
      ISSN = {1077-8926},
   MRCLASS = {06A07 (05A19 06A05)},
  MRNUMBER = {2515772},
MRREVIEWER = {Uwe Leck},
}

@article {Pon_Wang,
    AUTHOR = {Pon, Steven and Wang, Qiang},
     TITLE = {Promotion and evacuation on standard {Y}oung tableaux of
              rectangle and staircase shape},
   JOURNAL = {Electron. J. Combin.},
  FJOURNAL = {Electronic Journal of Combinatorics},
    VOLUME = {18},
      YEAR = {2011},
    NUMBER = {1},
     PAGES = {Paper 18, 18},
      ISSN = {1077-8926},
   MRCLASS = {05E10 (05A19 05E18)},
  MRNUMBER = {2770123},
}

@article {Mac_Lane,
    AUTHOR = {Mac Lane, Saunders},
     TITLE = {Categorical algebra},
   JOURNAL = {Bull. Amer. Math. Soc.},
  FJOURNAL = {Bulletin of the American Mathematical Society},
    VOLUME = {71},
      YEAR = {1965},
     PAGES = {40--106},
      ISSN = {0002-9904},
   MRCLASS = {18.20 (18.10)},
  MRNUMBER = {0171826},
MRREVIEWER = {A. Dold},
}

@incollection {Lewis1,
    AUTHOR = {Lewis, Joel Brewster},
     TITLE = {Pattern avoidance in alternating permutations and tableaux
              (extended abstract)},
 BOOKTITLE = {22nd {I}nternational {C}onference on {F}ormal {P}ower {S}eries
              and {A}lgebraic {C}ombinatorics ({FPSAC} 2010)},
    SERIES = {Discrete Math. Theor. Comput. Sci. Proc., AN},
     PAGES = {391--402},
 PUBLISHER = {Assoc. Discrete Math. Theor. Comput. Sci., Nancy},
      YEAR = {2010},
   MRCLASS = {05A05 (05A19)},
  MRNUMBER = {2673852},
}

@article {Lewis2,
    AUTHOR = {Lewis, Joel Brewster},
     TITLE = {Generating trees and pattern avoidance in alternating
              permutations},
   JOURNAL = {Electron. J. Combin.},
  FJOURNAL = {Electronic Journal of Combinatorics},
    VOLUME = {19},
      YEAR = {2012},
    NUMBER = {1},
     PAGES = {Paper 21, 21},
      ISSN = {1077-8926},
   MRCLASS = {05A05 (05A15)},
  MRNUMBER = {2880652},
MRREVIEWER = {Henning {\'U}lfarsson},
}

@article {francon_viennot,
     AUTHOR = {Fran{\c{c}}on, Jean and Viennot, G{\'e}rard},
      TITLE = {Permutations selon leurs pics, creux, doubles mont\'ees et
               double descentes, nombres d'{E}uler et nombres de {G}enocchi},
    JOURNAL = {Discrete Math.},
   FJOURNAL = {Discrete Mathematics},
     VOLUME = {28},
       YEAR = {1979},
     NUMBER = {1},
      PAGES = {21--35},
       ISSN = {0012-365X},
      CODEN = {DSMHA4},
    MRCLASS = {05A05 (10A40)},
   MRNUMBER = {542933},
 MRREVIEWER = {Cheryl E. Praeger},
        DOI = {10.1016/0012-365X(79)90182-1},
}

@Article{borie_fpsac_slc_2017,
 Author = {Nicolas {Borie}},
 Title = {{Three-dimensional Catalan numbers and product-coproduct prographs.}},
 FJournal = {{S\'eminaire Lotharingien de Combinatoire}},
 Journal = {{S\'emin. Lothar. Comb.}},
 ISSN = {1286-4889/e},
 Volume = {78B},
 Pages = {78b.39, 12},
 Year = {2017},
 Publisher = {Universit\"at Wien, Fakult\"at f\"ur Mathematik, Wien},
 Language = {English},
 MSC2010 = {05E10},
 Zbl = {1384.05165}
}

@unpublished{pierrot_2_stack,
  TITLE = {{2-stack pushall sortable permutations}},
  AUTHOR = {Pierrot, Adeline and Rossin, Dominique},
  NOTE = {41 pages},
  YEAR = {2013},
  MONTH = Mar,
  KEYWORDS = {permutations ; algorithm ; sorting network ; stack sorting},
  PDF = {https://hal.archives-ouvertes.fr/hal-00801861/file/articlePush-all.pdf},
  HAL_ID = {hal-00801861},
  HAL_VERSION = {v1},
}

@article {bipolar,
    AUTHOR = {Kenyon, Richard and Miller, Jason and Sheffield, Scott and
              Wilson, David B.},
     TITLE = {Bipolar orientations on planar maps and {${\rm SLE}_{12}$}},
   JOURNAL = {Ann. Probab.},
  FJOURNAL = {The Annals of Probability},
    VOLUME = {47},
      YEAR = {2019},
    NUMBER = {3},
     PAGES = {1240--1269},
      ISSN = {0091-1798},
   MRCLASS = {60J67 (05C10 28C20 82B20)},
  MRNUMBER = {3945746},
MRREVIEWER = {Nam-Gyu Kang},
       DOI = {10.1214/18-AOP1282},
}

@InCollection{MBM_planar_maps,
 Author = {Mireille {Bousquet-M\'elou}},
 Title = {Counting planar maps, coloured or uncoloured},
 BookTitle = {Surveys in Combinatorics},
 ISBN = {978-1-107-60109-3},
 Year = {2011},
 Publisher = {Cambridge University Press},
 MSC2010 = {05C30 05C10 05C15 05A15},
 Zbl = {1244.05118},
}

@phdthesis{cordero:tel-03011831,
  TITLE = {{Explorations combinatoires des structures arborescentes et libres}},
  AUTHOR = {Cordero, Christophe},
  NUMBER = {2019PESC2046},
  SCHOOL = {{Universit{\'e} Paris-Est}},
  YEAR = {2019},
  MONTH = Dec,
  KEYWORDS = {Combinatoric ; Code ; Operad ; Prograph ; Computer ; Tree ; Combinatoire ; Code ; Op{\'e}rade ; Pro ; Prographe ; Arbre},
  TYPE = {Theses},
  PDF = {https://tel.archives-ouvertes.fr/tel-03011831/file/TH2019PESC2046.pdf},
  HAL_ID = {tel-03011831},
  HAL_VERSION = {v1},
}

@article {falque_hard_bij,
    AUTHOR = {Falque, Justine},
     TITLE = {A bijection between weighted {D}yck paths and 1234-avoiding
              alternating permutations},
   JOURNAL = {S\'{e}m. Lothar. Combin.},
  FJOURNAL = {S\'{e}minaire Lotharingien de Combinatoire},
    VOLUME = {85B},
      YEAR = {2021},
     PAGES = {Art. 71, 13},
   MRCLASS = {05A19 (05A05 05A15)},
  MRNUMBER = {4311952},
}