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@article {Frame1954,
    AUTHOR = {Frame, J.S. and Robinson, G. de B. and Thrall, R.M.},
     TITLE = {The hook graphs of the symmetric groups},
   JOURNAL = {Canad. J. Math.},
  FJOURNAL = {Canadian Journal of Mathematics. Journal Canadien de
              Math\'ematiques},
    VOLUME = {6},
      YEAR = {1954},
     PAGES = {316--324},
   MRCLASS = {20.0X},
  MRNUMBER = {0062127},
MRREVIEWER = {D. E. Littlewood},
}


@inproceedings {IshikawaTagawa07,
author = {Ishikawa, M. and Tagawa, H.},
year = {2007},
title = {Schur function identities and hook length posets},
booktitle = {FPSAC'07 - 19th International Conference on Formal Power Series and Algebraic Combinatorics}
}


@article {IshikawaTagawa,
    AUTHOR = {Ishikawa, M. and Tagawa, H.},
     TITLE = {Leaf posets and multivariate hook length property},
   JOURNAL = {RIMS K\^oky\^uroku},
    VOLUME = {1913},
      YEAR = {2014},
     PAGES = {67--80},
}
	


@article {KimStanton17,
    AUTHOR = {Kim, J.S. and Stanton, D.},
     TITLE = {On {$q$}-integrals over order polytopes},
   JOURNAL = {Adv. Math.},
  FJOURNAL = {Advances in Mathematics},
    VOLUME = {308},
      YEAR = {2017},
     PAGES = {1269--1317},
   MRCLASS = {05A30 (05A15 06A07 52B20)},
  MRNUMBER = {3600087},
MRREVIEWER = {Thomas Britz},
       DOI = {10.1016/j.aim.2017.01.001},
}


@misc {KimYoo2017,
    AUTHOR = {Kim, J.S. and Yoo, M.},
     TITLE = {Hook length property of $d$-complete posets via $q$-integrals},
   eprint = {1708.09109},
      YEAR = {2017},
eprinttype = {arxiv}
}




@incollection {Nakada2009,
    AUTHOR = {Nakada, K.},
     TITLE = {{$q$}-hook formula of {G}ansner type for a generalized {Y}oung
              diagram},
 BOOKTITLE = {21st {I}nternational {C}onference on {F}ormal {P}ower {S}eries
              and {A}lgebraic {C}ombinatorics ({FPSAC} 2009)},
    SERIES = {Discrete Math. Theor. Comput. Sci. Proc., AK},
     PAGES = {685--696},
 PUBLISHER = {Assoc. Discrete Math. Theor. Comput. Sci., Nancy},
      YEAR = {2009},
   MRCLASS = {05E10},
  MRNUMBER = {2721553},
MRREVIEWER = {Chanyoung Lee Shader},
}
	


@article {Proctor1999,
    AUTHOR = {Proctor, R.A.},
     TITLE = {Dynkin diagram classification of {$\lambda$}-minuscule
              {B}ruhat lattices and of {$d$}-complete posets},
   JOURNAL = {J. Algebraic Combin.},
  FJOURNAL = {Journal of Algebraic Combinatorics. An International Journal},
    VOLUME = {9},
      YEAR = {1999},
    NUMBER = {1},
     PAGES = {61--94},
   MRCLASS = {06A07 (05E25)},
  MRNUMBER = {1676724},
MRREVIEWER = {Gerhard Behrendt},
       DOI = {10.1023/A:1018615115006},
}



@article {Proctor1999a,
    AUTHOR = {Proctor, R.A.},
     TITLE = {Minuscule elements of {W}eyl groups, the numbers game, and
              {$d$}-complete posets},
   JOURNAL = {J. Algebra},
  FJOURNAL = {Journal of Algebra},
    VOLUME = {213},
      YEAR = {1999},
    NUMBER = {1},
     PAGES = {272--303},
   MRCLASS = {05E15 (17B67)},
  MRNUMBER = {1674686},
MRREVIEWER = {Godofredo Iommi Amun\'ategui},
       DOI = {10.1006/jabr.1998.7648},
}
	


@article {Proctor2014,
    AUTHOR = {Proctor, R.A.},
     TITLE = {$d$-complete posets generalize {Y}oung diagrams for the hook product
  formula: {P}artial {P}resentation of {P}roof},
   JOURNAL = {RIMS K\^oky\^uroku},
    VOLUME = {1913},
      YEAR = {2014},
     PAGES = {120--140},
}
	


@article {Proctor2017,
    AUTHOR = {Proctor, Robert A. and Scoppetta, Lindsey M. },
     TITLE = {$d$-complete posets: local structural axioms, properties, and
  equivalent definitions},
   JOURNAL = {arXiv:1704.05792},
      YEAR = {2017},
       URL = {https://arxiv.org/abs/1704.05792}, 
}

			


@book {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},
}



@article {sagemath,
    AUTHOR = {The Sage Developers},
     TITLE = {SageMath, the Sage Mathematics Software System (Version 7.5.1)},
   url = {http://www.sagemath.org},
      YEAR = {2017},
}


@book {WW,
    AUTHOR = {Whittaker, E.T. and Watson, G.N.},
     TITLE = {A course of modern analysis. {A}n introduction to the general
              theory of infinite processes and of analytic functions: with
              an account of the principal transcendental functions},
    SERIES = {Fourth edition. Reprinted},
 PUBLISHER = {Cambridge University Press, New York},
      YEAR = {1962},
     PAGES = {vii+608},
   MRCLASS = {30.00},
  MRNUMBER = {0178117},
}