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@article{Feray2,
	Author = {Boussicault, A. and F\'{e}ray, V. and Lascoux, A. and Reiner, V.},
	Journal = {J. Algebraic Combin.},
	Pages = {573--610},
	Title = {Linear extension sums as valuations on cones},
	Volume = {35},
	Number = {4},
	DOI = {10.1007/s10801-011-0316-2},
	Year = {2012}}

@article{complexity,
	Author = {Brightwell, G. and Winkler, P.},
	Journal = {Proceedings of the Twenty-third Annual ACM Symposium on Theory of Computing},
	Pages = {175--181},
	Title = {{Counting linear extensions is \#P-complete}},
	Year = {1991}}
	
@misc{Ur,
    Author = {Browning, T. and Hopkins, M. and Kelley, A.},
    Eprint = {1710.10407},
    Eprinttype = {arxiv},
    Title = {{}Doppelgangers: the Ur-Operation and Posets of Bounded Height}},
    Year = {2017}}

@article{Faigle,
	Author = {Faigle, U. and Schrader, R.},
	TITLE = {On the computational complexity of the order polynomial},
      NOTE = {Applications of combinatorial methods in mathematical
              programming (Gainesville, Fla., 1985)},
   JOURNAL = {Discrete Appl. Math.},
  FJOURNAL = {Discrete Applied Mathematics. The Journal of Combinatorial
              Algorithms, Informatics and Computational Sciences},
    VOLUME = {15},
      YEAR = {1986},
    NUMBER = {2--3},
     PAGES = {261--269},
   MRCLASS = {68Q25 (05A15 06A10 90C27)},
  MRNUMBER = {865006},
MRREVIEWER = {Bernd Graw},
       DOI = {10.1016/0166-218X(86)90047-8}}
	
@incollection{Ges,
	Author = {Gessel, I.},
	TITLE = {Multipartite {$P$}-partitions and inner products of skew
              {S}chur functions},
 BOOKTITLE = {Combinatorics and algebra ({B}oulder, {C}olo., 1983)},
    SERIES = {Contemp. Math.},
    VOLUME = {34},
     PAGES = {289--317},
 PUBLISHER = {Amer. Math. Soc., Providence, RI},
      YEAR = {1984},
   MRCLASS = {05A17 (20C30)},
  MRNUMBER = {777705},
MRREVIEWER = {J. D\'{e}sarm\'{e}nien},
       DOI = {10.1090/conm/034/777705}}
	
@misc{Hamaker,
    Author = {Hamaker, Z. and Patrias, R. and Pechenik, O. and Williams, N.},
    Eprint = {1602.05535},
    Eprinttype = {arxiv},
    Title = {Doppelgangers: {B}ijections of {P}lane {P}artitions},
    Year = {2016}}
    
@phdthesis{Johnson,
	Author = {Johnson, K.L.},
	School = {The University of Alabama},
	Title  = {Real representations of finite directed graphs},
 PUBLISHER = {ProQuest LLC, Ann Arbor, MI},
      YEAR = {1971},
     PAGES = {90 pp.},
       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:7208443},
}
	
@article{LLL,
    Author = {Lenstra, A.K. and Lenstra, H.W. and Lovasz, L.},
    Title = {Factoring polynomials with rational coefficients},
    Journal = {Math. Ann.},
    Year = {1982},
    Volume = {261},
    Pages = {515--534}}
    
@article{McNamara,
	Author = {McNamara, P. and Ward, R.},
	TITLE = {Equality of {$P$}-partition generating functions},
   JOURNAL = {Ann. Comb.},
  FJOURNAL = {Annals of Combinatorics},
    VOLUME = {18},
      YEAR = {2014},
    NUMBER = {3},
     PAGES = {489--514},
   MRCLASS = {06A07 (05E05)},
  MRNUMBER = {3245895},
MRREVIEWER = {Robert Brignall},
       DOI = {10.1007/s00026-014-0236-7}}
	
@incollection{Order,
    author = {Stanley, R.P.},
    TITLE = {A chromatic-like polynomial for ordered sets},
 BOOKTITLE = {Proc. {S}econd {C}hapel {H}ill {C}onf. on {C}ombinatorial
              {M}athematics and its {A}pplications ({U}niv. {N}orth
              {C}arolina, {C}hapel {H}ill, {N}.{C}., 1970)},
     PAGES = {421--427},
 PUBLISHER = {Univ. North Carolina, Chapel Hill, N.C.},
      YEAR = {1970},
   MRCLASS = {05.55},
  MRNUMBER = {0269545},
MRREVIEWER = {W. T. Tutte}}
    
@article{Stanley1,
    author = {Stanley, R.P.},
    TITLE = {A {B}rylawski decomposition for finite ordered sets},
   JOURNAL = {Discrete Math.},
  FJOURNAL = {Discrete Mathematics},
    VOLUME = {4},
      YEAR = {1973},
     PAGES = {77--82},
   MRCLASS = {06A10},
  MRNUMBER = {0309813},
MRREVIEWER = {Torrence D. Parsons},
       DOI = {10.1016/0012-365X(73)90117-9}}

@book{Stanley,
    author = {Stanley, R.P.},
    title = {Enumerative {C}ombinatorics},
    publisher = {Cambridge University Press},
    year = {1973}}