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@misc{Jenne,
 AUTHOR={Jenne, H.},
 EPRINT={1911.04079},
 EPRINTTYPE = {arxiv},
 TITLE={Combinatorics of the double-dimer model},
  YEAR={2019}
}

@misc{Lai2,
 AUTHOR={Lai, T. and Musiker, G.},
 TITLE={Dungeons and {D}ragons: combinatorics for the  {$dP_3$} quiver},
  EPRINT={1805.09280},
   EPRINTTYPE = {arxiv},
  YEAR={2018}
}

@misc{JWY,
AUTHOR    = {Jenne, H. and Webb, G. and Young, B.},
TITLE = {In preparation.},
}

@Article{Kuo,
  author     = {Kuo, E.},
  title      = {Applications of graphical condensation for enumerating matchings and tilings},
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  doi={10.1016/j.tcs.2004.02.022},
  volume     = {319},
  fjournal   = {Theoretical Computer Science},
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  mrclass    = {05B45 (05A15 52C22)},
  mrnumber   = {2074946},
  mrreviewer = {Eric S. Egge},
  year       = {2004},
}

@Article{MNOP,
  author     = {Maulik, D. and Nekrasov, N. and Okounkov, A. and Pandharipande, R.},
  title      = {Gromov-{W}itten theory and {D}onaldson-{T}homas theory, {II}},
  number     = {5},
  pages      = {1286--1304},
  doi={10.1112/S0010437X06002314},
  volume     = {142},
  fjournal   = {Compositio Mathematica},
  journal    = {Compos. Math.},
  mrclass    = {14N35 (14C05)},
  mrnumber   = {2264665},
  mrreviewer = {Hsian-Hua Tseng},
  year       = {2006},
}

@Article{KW2006,
  author   = {Kenyon, R. W. and Wilson, D.},
  title    = {Boundary Partitions in Trees and Dimers},
  number   = {3},
  doi={10.1090/S0002-9947-2010-04964-5},
  pages    = {1325--1364},
  volume   = {363},
  fjournal = {Transactions of the American Mathematical Society},
  journal  = {Trans. Amer. Math. Soc.},
  year     = {2011},
}

@Article{PT16,
  author     = {Pandharipande, R. and Thomas, R.},
  title      = {Curve counting via stable pairs in the derived category},
  number     = {2},
  pages      = {407--447},
  doi={10.1007/s00222-009-0203-9},
  volume     = {178},
  fjournal   = {Inventiones Mathematicae},
  journal    = {Invent. Math.},
  mrclass    = {14N35 (14F05 18E30)},
  mrnumber   = {2545686},
  mrreviewer = {Yunfeng Jiang},
  year       = {2009},
}

@Article{Bridgeland,
  author     = {Bridgeland, T.},
  title      = {Hall algebras and curve-counting invariants},
  number     = {4},
  pages      = {969--998},
  doi={ 10.2307/23072163},
  volume     = {24},
  fjournal   = {Journal of the American Mathematical Society},
  journal    = {J. Amer. Math. Soc.},
  mrclass    = {14N35 (14C05 14D23 14F05)},
  mrnumber   = {2813335},
  mrreviewer = {Arvid Perego},
  year       = {2011},
}

@Article{MNOP1,
  author     = {Maulik, D. and Nekrasov, N. and Okounkov, A. and Pandharipande, R.},
  title      = {Gromov-{W}itten theory and {D}onaldson-{T}homas theory, {I}},
  number     = {5},
  pages      = {1263--1285},
  volume     = {142},
  doi={10.1112/S0010437X06002302},
  fjournal   = {Compositio Mathematica},
  journal    = {Compos. Math.},
  mrclass    = {14N35 (14J32)},
  mrnumber   = {2264664},
  mrreviewer = {Hsian-Hua Tseng},
  year       = {2006},
}

@Article{KW2009,
  author   = {Kenyon, R. W. and Wilson, D.},
  title    = {Combinatorics of tripartite boundary connections for trees and dimers},
  number   = {1},
  volume   = {16},
  doi={10.37236/201},
  fjournal = {The Electronic Journal of Combinatorics},
  journal  = {Electron J Comb.},
  year     = {2009},
}

@Article{MNOP2,
  author     = {Maulik, D. and Oblomkov, A. and Okounkov, A. and Pandharipande, R.},
  title      = {Gromov-{W}itten/{D}onald\-son-{T}homas correspondence for toric 3-folds},
  number     = {2},
  pages      = {435--479},
  volume     = {186},
  doi={10.1007/s00222-011-0322-y},
  fjournal   = {Inventiones Mathematicae},
  journal    = {Invent. Math.},
  mrclass    = {14N35 (14M25)},
  mrnumber   = {2845622},
  mrreviewer = {Hsian-Hua Tseng},
  year       = {2011},
}

@Article{PT2009,
  author     = {Pandharipande, R. and Thomas, R.},
  title      = {The 3-fold vertex via stable pairs},
  number     = {4},
  pages      = {1835--1876},
  doi={10.2140/gt.2009.13.1835},
  volume     = {13},
  fjournal   = {Geometry \& Topology},
  journal    = {Geom. Topol.},
  mrclass    = {14N35 (14D20 14M25)},
  mrnumber   = {2497313},
  mrreviewer = {Hsian-Hua Tseng},
  year       = {2009},
}

@Article{Williams,
  author     = {Williams, L.},
  title      = {Cluster algebras: an introduction},
  number     = {1},
  pages      = {1--26},
  doi={10.1090/S0273-0979-2013-01417-4},
  volume     = {51},
  fjournal   = {American Mathematical Society. Bulletin. New Series},
  journal    = {Bull. Amer. Math. Soc. (N.S.)},
  mrclass    = {13F60 (05E45 30F60 82B23)},
  mrnumber   = {3119820},
  mrreviewer = {Li Li},
  year       = {2014},
}

@Article{FZ,
  author     = {Fomin, S. and Zelevinsky, A.},
  title      = {Cluster algebras. {I}. {F}oundations},
  number     = {2},
  pages      = {497--529},
  doi={10.1090/S0894-0347-01-00385-X},
  volume     = {15},
  fjournal   = {Journal of the American Mathematical Society},
  journal    = {J. Amer. Math. Soc.},
  mrclass    = {16S99 (14M99 17B99)},
  mrnumber   = {1887642},
  mrreviewer = {Eric N. Sommers},
  year       = {2002},
}

@Book{MacMahon,
  author    = {MacMahon, P.},
  title     = {Combinatory analysis},
  publisher = {Cambridge University Press, Cambridge, UK},
  year      = {1915-16},
}

@Article{Lai1,
  author     = {Lai, T. and Musiker, G.},
  title      = {Beyond {A}ztec castles: toric cascades in the {$dP_3$} quiver},
  number     = {3},
  pages      = {823--881},
  doi={10.1007/s00220-017-2993-8},
  volume     = {356},
  fjournal   = {Communications in Mathematical Physics},
  journal    = {Comm. Math. Phys.},
  mrclass    = {13F60 (14D21 16G20 81T30)},
  mrnumber   = {3719543},
  mrreviewer = {Ralf Schiffler},
  year       = {2017},
}

@Article{Toda,
  author     = {Toda, Y.},
  title      = {Curve counting theories via stable objects {I}. {DT}/{PT} correspondence},
  number     = {4},
  pages      = {1119--1157},
  volume     = {23},
  doi={10.2307/20753580},
  fjournal   = {Journal of the American Mathematical Society},
  journal    = {J. Amer. Math. Soc.},
  mrclass    = {14D20 (14J32 14N10 18E30)},
  mrnumber   = {2669709},
  mrreviewer = {Carlo Giovanni Madonna},
  year       = {2010},
}