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@article{temperley,
	Author = {Temperley, H. N. V. and Fisher, Michael E.},
	Date-Added = {2019-05-04 22:27:57 +1000},
	Date-Modified = {2019-05-04 22:28:03 +1000},
	Journal = {Philos. Mag. (8)},
	Mrclass = {82.62},
	Mrnumber = {0136398},
	Mrreviewer = {R. H. Kraichnan},
	Pages = {1061--1063},
	Title = {Dimer problem in statistical mechanics---an exact result},
	Volume = {6},
	Year = {1961}}

@article{aztec,
	Author = {Elkies, Noam and Kuperberg, Greg and Larsen, Michael and Propp, James},
	Date-Added = {2019-05-04 22:16:28 +1000},
	Date-Modified = {2019-05-04 22:16:37 +1000},
	Doi = {10.1023/A:1022420103267},
	Fjournal = {Journal of Algebraic Combinatorics. An International Journal},
	Issn = {0925-9899},
	Journal = {J. Algebraic Combin.},
	Mrclass = {52C20 (05B45)},
	Mrnumber = {1226347},
	Number = {2},
	Pages = {111--132},
	Title = {Alternating-sign matrices and domino tilings. {I}},
	Volume = {1},
	Year = {1992},
	Bdsk-Url-1 = {https://doi-org.ezp.lib.unimelb.edu.au/10.1023/A:1022420103267},
	Bdsk-Url-2 = {https://doi.org/10.1023/A:1022420103267}}

@article{lai,
	Author = {Ciucu, Mihai and Lai, Tri},
	Date-Added = {2019-05-04 22:14:35 +1000},
	Date-Modified = {2019-05-04 22:14:48 +1000},
	Doi = {10.1016/j.jcta.2014.03.008},
	Fjournal = {Journal of Combinatorial Theory. Series A},
	Issn = {0097-3165},
	Journal = {J. Combin. Theory Ser. A},
	Mrclass = {05B45 (05A15 52C20)},
	Mrnumber = {3207476},
	Mrreviewer = {Yuqin Zhang},
	Pages = {273--305},
	Title = {Proof of {B}lum's conjecture on hexagonal dungeons},
	Volume = {125},
	Year = {2014},
	Bdsk-Url-1 = {https://doi-org.ezp.lib.unimelb.edu.au/10.1016/j.jcta.2014.03.008},
	Bdsk-Url-2 = {https://doi.org/10.1016/j.jcta.2014.03.008}}

@article{larsen,
	Author = {M. J. Larsen},
	Journal = {Elec. J. Comb.},
	Title = {The Problem of Kings},
	Volume = {2},
	Year = {1995}}

@article{wilf-article,
	Author = {H. S. Wilf},
	Journal = {Elec. J. Comb.},
	Title = {The Problem of the Kings},
	Volume = {2},
	Year = {1995}}

@article{brualdi-article,
	Author = {R. A. Brualdi},
	Journal = {Linear Algebra Appl.},
	Title = {Combinatorial Verification of the Elementary Divisors of Tensor Products},
	Volume = {71},
	Year = {1985}}

@book{wilf-book,
	//Edition = {2nd},
	Address = {New York},
	Author = {H. S. Wilf},
	Publisher = {Academic Press},
	Title = {{generatingfunctionology}},
	Year = {1994}}

@book{stanley,
	Author = {R. P. Stanley},
	Date-Modified = {2019-05-04 22:25:46 +1000},
	Number = {49},
	Publisher = {Cambridge University Press, New York},
	Series = {Cambridge Studies in Advanced Mathematics},
	Title = {Enumerative Combinatorics},
	Volume = {1},
	Year = {2012}}

@book{walker,
	Address = {Princeton, NJ},
	Author = {R. J. Walker},
	Publisher = {Princeton University Press},
	Title = {Algebraic Curves},
	Year = {1950}}

@book{baxter,
	Author = {R. J. Baxter},
	Date-Modified = {2019-05-04 22:13:09 +1000},
	Note = {Reprint of the 1982 original},
	Publisher = {Dover Publications, Mineola, NY},
	Title = {Exactly Solved Models in Statistical Mechanics},
	Year = {2007}}

@book{aigner,
	Address = {Berlin},
	Author = {M. Aigner},
	Number = {238},
	Publisher = {Springer},
	Series = {Graduate Texts in Mathematics},
	Title = {A Course in Enumeration},
	Year = {2007}}

@book{thompson-math,
	Address = {Princeton, NJ},
	Author = {C. J. Thompson},
	Publisher = {Princeton University Press},
	Title = {Mathematical Statistical Mechanics},
	Year = {1972}}

@book{thompson-classical,
	Address = {Oxford},
	Author = {C. J. Thompson},
	Publisher = {Clarendon Press},
	Title = {Classical Equilibrium Statistical Mechanics},
	Year = {1988}}

@book{heubach,
	Address = {Boca Raton, FL},
	Author = {S. Heubach and T. Mansour},
	Publisher = {CRC Press},
	Series = {Discrete Mathematics and Its Applications},
	Title = {Combinatorics of Compositions and Words},
	Year = {2010}}

@book{brualdi,
	Address = {Boca Raton, FL},
	Author = {R. A. Brualdi and D. Cvetkovi{\'c}},
	Publisher = {CRC Press},
	Series = {Discrete Mathematics and Its Applications},
	Title = {A Combinatorial Approach to Matrix Theory and Its Applications},
	Year = {2009}}

@book{cvetkovic,
	Address = {New York},
	Author = {D. M. Cvetkovi{\'c} and M. Doob and N. Sachs},
	Publisher = {Academic Press},
	Series = {Pure and Applied Mathematics},
	Title = {Spectra of Graphs: Theory and Application},
	Year = {1979}}

@book{flajolet,
	Address = {Cambridge},
	Author = {P. Flajolet and R. Sedgewick},
	Publisher = {Cambridge University Press},
	Title = {Analytic Combinatorics},
	Year = {2009}}

@book{percus,
	Address = {New York},
	Author = {J. K. Percus},
	Number = {4},
	Publisher = {Springer-Verlag},
	Series = {Applied Mathematical Sciences},
	Title = {Combinatorial Methods},
	Year = {1971}}

@book{macmahon1,
	Address = {London},
	Author = {P. A. MacMahon},
	Publisher = {Cambridge University Press},
	Title = {Combinatory Analysis},
	Volume = {1},
	Year = {1915}}

@book{macmahon2,
	Address = {London},
	Author = {P. A. MacMahon},
	Publisher = {Cambridge University Press},
	Title = {Combinatory Analysis},
	Volume = {2},
	Year = {1915}}

@book{macmahon,
	Author = {P. A. MacMahon},
	Date-Modified = {2019-05-04 22:24:46 +1000},
	Note = {Reprint of the 1915 \& 1916 originals},
	Publisher = {AMS Chelsea Publishing, Providence, RI},
	Title = {Combinatory Analysis},
	Volume = {I \& II},
	Year = {1984}}

@book{boyd,
	Address = {New York},
	Author = {S. Boyd and L. Vandenberghe},
	Publisher = {Cambridge University Press},
	Title = {Convex Optimization},
	Year = {2004}}

@book{cardy,
	Address = {New York},
	Author = {J. Cardy},
	Number = {5},
	Publisher = {Cambridge University Press},
	Series = {Cambridge Lecture Notes in Physics},
	Title = {Scaling and Renormalization in Statistical Physics},
	Year = {1996}}

@book{steeb,
	Address = {Hackensack, New Jersey},
	Author = {W.-H. Steeb and Y. Hardy},
	Edition = {Second},
	Publisher = {World Scientific Publishing Co.},
	Title = {Matrix Calculus and Kronecker Product: A Practical Approach to Linear and Multilinear Algebra},
	Year = {2011}}

@book{imrich,
	Address = {New York},
	Author = {W. Imrich and S. Klav\v zar},
	Publisher = {John Wiley \& Sons},
	Title = {Product Graphs: Structure and Recognition},
	Year = {2000}}

@incollection{lieb,
	Address = {New York},
	Author = {E. H. Lieb},
	Booktitle = {Condensed Matter Physics and Exactly Soluble Models: Selecta of Elliott H. Lieb},
	Editor = {B. Nachtergaele and J.P. Solovej and J. Yngvason},
	Publisher = {Springer},
	Title = {Solution of the Dimer Problem by the Transfer Matrix Method},
	Year = {2004}}

@misc{maple,
	Howpublished = {{Maplesoft, a division of Waterloo Maple Inc., Waterloo, Ontario, Canada}},
	Title = {Maple 18.01}}

@book{matousek,
	Address = {Oxford},
	Author = {J. Matou\v{s}ek and J. Ne\v{s}et\v{r}il},
	Publisher = {Oxford University Press},
	Title = {Invitation to Discrete Mathematics},
	Year = {1998}}

@article{mathar,
	Adsnote = {Provided by the SAO/NASA Astrophysics Data System},
	Adsurl = {http://adsabs.harvard.edu/abs/2014arXiv1406.7788M},
	Archiveprefix = {arXiv},
	Author = {R. J. Mathar},
	Eprint = {1406.7788},
	Journal = {ArXiv e-prints},
	Keywords = {Mathematics - Combinatorics, 52C20, 05B45 (Primary) 05A15 (Secondary)},
	Month = {Jun},
	Primaryclass = {math.CO},
	Title = {Tilings of Rectangular Regions by Rectangular Tiles: Counts Derived from Transfer Matrices},
	Year = {2014}}

@article{kasteleyn,
	Author = {P. W. Kasteleyn},
	Date-Modified = {2019-05-04 22:19:37 +1000},
	Doi = {10.1016/0166-218X(84)90083-0},
	Journal = {Physica},
	Number = {12},
	Pages = {1209--1225},
	Title = {The statistics of dimers on a lattice: I. The number of dimer arrangements on a quadratic lattice},
	Volume = {27},
	Year = {1961}}

@incollection{propp,
	Author = {J. Propp},
	Booktitle = {New Perspectives in Algebraic Combinatorics},
	Date-Modified = {2019-05-04 22:25:28 +1000},
	Number = {38},
	Publisher = {Cambridge University Press, New York},
	Series = {MSRI Publications},
	Title = {Enumeration of Matchings: Problems and Progress},
	Year = {1999}}

@phdthesis{gershon,
	Author = {A. Gershon},
	School = {Indiana University},
	Title = {New Directions in the Enumeration of Tilings on a Chessboard},
	Year = 2015}