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@misc{jonsson_abstract_2003,
  author    = {Jonsson, Jakob},
  title     = {Generalized triangulations of the $n$-gon},
  pages     = {281},
  publisher = {Mathematisches Forschungsinstitut Oberwolfach},
  series    = {Lecture Notes in Mathematics},
  volume    = {132},
  year      = {2003},
}

@Article{manneville_fan_2018,
  author  = {Manneville, T.},
  title   = {Fan realizations for some 2-associahedra},
  doi={10.1080/10586458.2017.1289866},
  number  = {4},
  pages   = {377--394},
  volume  = {27},
  journal = {Exp. Math.},
  year    = {2018},
}

@Article{bergeron_fan_2015,
  author  = {Bergeron, N. and Ceballos, C. and Labb{\'e}, J.-P.},
  title   = {Fan realizations of type {$A$} subword complexes and multi-associahedra of rank 3},
  number  = {1},
  doi={https://doi.org/10.1007/s00454-015-9691-0},
  pages   = {195--231},
  volume  = {54},
  journal = {Discrete Comput. Geom.},
  year    = {2015},
}

@Article{bergeron_hopf_2017,
  author  = {Bergeron, N. and Ceballos, C.},
  title   = {A {H}opf algebra of subword complexes},
  doi={https://doi.org/10.1016/j.aim.2016.10.007},
  pages   = {1163--1201},
  volume  = {305},
  journal = {Adv. Math.},
  year    = {2017},
}

@Article{ceballos_subword_2014,
  author  = {Ceballos, C. and Labb\'e, J.-P. and Stump, C.},
  title   = {Subword complexes, cluster complexes, and generalized multi-associahedra},
  number  = {1},
  pages   = {17--51},
  doi={https://doi.org/10.1007/s10801-013-0437-x},
  volume  = {39},
  journal = {J. Algebraic Combin.},
  year    = {2014},
}

@misc{firsching_complete_2018,
  author  = {Firsching, Moritz},
  title   = {The complete enumeration of $4$-polytopes and $3$-spheres with nine vertices},
  pages   = {22~pp.},
  eprint={1803.05205},
  eprinttype={arxiv},
  year    = {2018}
}

@Book{macdonald_symmetric_2015,
  author    = {Macdonald, I.},
  title     = {Symmetric functions and {H}all polynomials},
  edition   = {Second},
  pages     = {xii+475},
  publisher = {The Clarendon Press, Oxford University Press, New York},
  series    = {Oxford Classic Texts in the Physical Sciences},
  year      = {2015},
}

@Article{pilaud_multitriangulations_2012,
  author  = {Pilaud, V. and Pocchiola, M.},
  title   = {Multitriangulations, pseudotriangulations and primitive sorting networks},
  number  = {1},
  pages   = {142--191},
  doi={https://doi.org/10.1007/s00454-012-9408-6},
  volume  = {48},
  journal = {Discrete Comput. Geom.},
  year    = {2012},
}

@Article{firsching_realizability_2017,
  author  = {Firsching, M. },
  title   = {Realizability and inscribability for simplicial polytopes via nonlinear optimization},
  doi={https://doi.org/10.1007/s10107-017-1120-0},
  number  = {1-2, Ser. A},
  pages   = {273--295},
  volume  = {166},
  journal = {Math. Program.},
  year    = {2017},
}

@Article{knutson_subword_2004,
  author  = {Knutson, A. and Miller, E.},
  title   = {Subword complexes in {C}oxeter groups},
  doi={https://doi.org/10.1016/S0001-8708(03)00142-7},
  number  = {1},
  pages   = {161--176},
  volume  = {184},
  journal = {Adv. Math.},
  year    = {2004},
}

@Article{escobar_brick_2016,
  author  = {Escobar, L.},
  title   = {Brick manifolds and toric varieties of brick polytopes},
  number  = {2},
  doi={10.37236/5038},
  volume  = {23},
  journal = {Electron. J. Combin.},
  year    = {2016},
}

@misc{bokowski_symmetric_2009,
  author    = {Bokowski, J. and Pilaud, V.},
  booktitle = {Proceedings of the 21$^{st}$ Canadian Conference on Computational Geometry (CCCG2009)},
  title     = {On symmetric realizations of the simplicial complex of 3-crossing- free sets of diagonals of the octagon},
  pages     = {41--44},
  year      = {2009},
}

@Book{bjoerner_combinatorics_2005,
  author    = {Bj\"orner, A. and Brenti, F.},
  title     = {Combinatorics of {C}oxeter groups},
  pages     = {xiv+363},
  publisher = {Springer, New York},
  series    = {GTM},
  volume    = {231},
  year      = {2005},
}

@misc{ceballos_associahedra_2012,
  author  = {Ceballos, C.},
  title   = {On associahedra and related topics},
  pages   = {xi+87},
  note={\href{http://www.diss.fu-berlin.de/diss/receive/FUDISS_thesis_000000039026}{Link.}},
  address = {Berlin},
  school  = {Freie Universit\"at Berlin},
  year    = {2012},
}