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@article{Andrews,
	Author = {G.E. Andrews},
	Title = {Plane partitions (III): The weak Macdonald conjecture},
	Journal = {Invent. Math.},
	Volume={53},
	NUMBER = {3},
	Year={1979},
	Pages = {193--225},
	DOI = {10.1007/BF01389763}
	     }


@article{CiuRef,
	Author = {M. Ciucu},
	Title = {Enumeration of perfect matchings in graphs with reflective symmetry},
	Journal = {J. Combin. Theory Ser. A},
	Volume={77},
	NUMBER = {1},
	Year={1997},
	Pages = {67--97},
	DOI = {10.1006/jcta.1996.2725}
          }


@article{CiuPP2,
	Author = {M. Ciucu},
	Title = {Plane partitions I: a generalization of MacMahon's formula},
	Journal = {Mem. Amer. Math. Soc.},
	Volume={178},
	Number = {839},
	Year={2005},
	Pages = {107--144},
	doi = {10.1090/memo/0839} 
          }

@article{Ciucu60,
	Author = {M. Ciucu and I. Fischer},
	Title = {A triangular gap of side 2 in a sea of dimers in a {$60^\circ$} angle},
	Journal = {J. Phys. A},
	Volume={45},
	NUMBER = {49},
	Year={2012},
	Pages = {494011, 17 pp.},
	DOI = {10.1088/1751-8113/45/49/494011}
          }

@article{CiuPP,
	Author = {M. Ciucu and C. Krattenthaler},
	Title = {Plane partitions II: 5 1/2 symmetry classes},
	Journal = {Adv. Stud. Pure Math.},
	Volume={28},
	Year={2000},
	Pages = {83--103}
          }
@article{CK3,
	Author = {M. Ciucu and C. Krattenthaler},
	Title = {Enumeration of lozenge tilings of hexagons with cut off corners},
	Journal = { J. Combin. Theory Ser. A},
	Volume={100},
	Year={2002},
	NUMBER = {2},
	Pages = {201--231},
	DOI = {10.1006/jcta.2002.3288}
          }

@article{CK,
	Author = {M. Ciucu and C. Krattenthaler},
	Title = {A dual of MacMahon's theorem on plane partitions},
	Journal = {Proc. Natl. Acad. Sci. USA},
	Volume={110},
	NUMBER = {12},
	Year={2013},
	Pages = {4518--4523},
	DOI = {10.1073/pnas.1217100110}
          }

@article{CLP,
	Author = {H. Cohn, M. Larsen, and J. Propp},
	Title = {The shape of a typical boxed plane partition},
	Journal = {New York J. Math.},
	Volume={4},
	Year={1998},
	Pages = {137--165},
	URL = {http://nyjm.albany.edu:8000/j/1998/4_137.html}
          }


@article{Eisen,
	Author = {T. Eisenk\"{o}lbl},
	Title = {Rhombus tilings of a hexagon with two triangles missing on the symmetry axis},
	Journal = {Electron. J. Combin.},
	Volume={6},
	Year={1999},
	Pages = { \#P 30}
          }

@article{Krattenthaler2,
	Author = {C. Krattenthaler},
	Title = {Descending plane partitions and rhombus tilings of a hexagon with a triangular hole},
	Journal = {European J. Combin.},
	Volume={27},
	Number = {7},
	Year={2006},
	Pages = {1138--1146},
	DOI = {10.1016/j.ejc.2006.06.008}
          }

 @incollection{Krattenthaler,
  author       = {C. Krattenthaler},
  title        = {Plane partitions in the work of Richard Stanley and his school},
  booktitle    = {The Mathematical Legacy of Richard P. Stanley},
  publisher    = {Amer. Math. Soc.},
  year         = {2016},
  pages        = {231--261},
  address      = {Providence, RI}
}


@article{Kuo,
	Author = {E.H. Kuo},
	Title = {Applications of Graphical Condensation for Enumerating Matchings and Tilings},
	Journal = {Theoret. Comput. Sci.},
	Volume={319},
	Year={2004},
	NUMBER = {1-3},
	Pages = {29--57},
	DOI = {10.1016/j.tcs.2004.02.022}
          }

@article{Tri2,
	Author = {T. Lai},
	Title = {A $q$-enumeration of lozenge tilings of a hexagon with three dents},
	Journal = { Adv.  Applied Math.},
	Volume={82},
	Year={2017},
	Pages = {23--57}
          }

@book{Macdonald,
    AUTHOR = {Macdonald, I.G.},
     TITLE = {Symmetric functions and {H}all polynomials},
    SERIES = {Oxford Mathematical Monographs},
   EDITION = {Second},
      NOTE = {With contributions by A. Zelevinsky},
 PUBLISHER = {The Clarendon Press, Oxford University Press, New York},
      YEAR = {1995},
     PAGES = {475},
   MRCLASS = {05E05 (05-02 20C30 20C33 20K01 33C80 33D80)},
  MRNUMBER = {1354144 (96h:05207)},
MRREVIEWER = {John R. Stembridge}}


@book{Mac,
  author    = {P.A. MacMahon},
  title     = {Combinatory Analysis},
  publisher = {Cambridge Univ. Press},
  year      = {1916},
  volume    = {2},
  address   = {Cambridge, UK},
}


@article{MRR,
	Author = {W.H. Mills, D.P. Robbins and H. Rumsey Jr.},
	Title = {Proof of the Macdonald conjecture},
	Journal = {Invent. Math.},
	Volume={66},
	Year={1982},
	NUMBER = {1},
	Pages = {73--87},
	DOI = {10.1007/BF01404757}
          }
@article{MRR3,
	Author = {W.H. Mills, D.P. Robbins and H. Rumsey Jr.},
	Title = {Alternating sign matrices and descending plane partitions},
	Journal = {J. Combin. Theory Ser. A},
	Volume={34},
	Year={1983},
	Pages ={340--359}
          }


@incollection{Propp,
  author       = {J. Propp,},
  title        = {Enumeration of matchings: problems and progress},
  booktitle    = {New Perspectives in Algebraic Combinatorics},
  publisher    = {Cambridge Univ. Press},
  year         = {1999},
  pages        = {255--291},
  address      = {Cambridge, UK},
}


 @article{OK,
	Author = {S. Okada and C. Krattenthaler},
	Title = {The number of rhombus tilings of a punctured hexagon and the minor summation formula},
	Journal = {Adv. in Appl. Math.},
	Volume={21},
	Year={1998},
	Pages = {381--404}
          }

@book{Mui,
  author    = {T. Muir},
  title     = {The Theory of Determinants in the Historical Order of Development},
  publisher = {Macmillan},
  year      = {1906},
  address   = {London},
}

@article{Stanley,
	Author = {R. Stanley},
	Title = {Symmetries of plane partitions},
	Journal = { J. Combin. Theory Ser. A},
	Volume={43},
	NUMBER = {1},
	Year={1986},
	Pages ={103--113},
	DOI = {10.1016/0097-3165(86)90028-2}
          }