% This is an example bibliography file for FPSAC submissions.


@incollection{Mnev88,
AUTHOR = {Mn"{e}v, N. E.},
TITLE = {The universality theorems on the classification problem of
configuration varieties and convex polytope varieties},
BOOKTITLE = {Topology and geometry—Rohlin Seminar},
SERIES = {Lecture Notes in Math.},
VOLUME = {1346},
PAGES = {527–544},
PUBLISHER = {Springer, Berlin},
YEAR = {1988},
MRCLASS = {52B99 (14P10 52A25)},
MRNUMBER = {970093},
MRREVIEWER = {P. G. Glazebrook}
}

@article {RichterGebertZiegler95,
    AUTHOR = {Richter-Gebert, J\"{u}rgen and Ziegler, G\"{u}nter M.},
     TITLE = {Realization spaces of {$4$}-polytopes are universal},
   JOURNAL = {Bull. Amer. Math. Soc. (N.S.)},
  FJOURNAL = {American Mathematical Society. Bulletin. New Series},
    VOLUME = {32},
      YEAR = {1995},
    NUMBER = {4},
     PAGES = {403--412},
      ISSN = {0273-0979,1088-9485},
   MRCLASS = {52B11 (52B55)},
  MRNUMBER = {1316500},
MRREVIEWER = {P.\ McMullen},
       DOI = {10.1090/S0273-0979-1995-00604-X},
       URL = {https://doi-org.myaccess.library.utoronto.ca/10.1090/S0273-0979-1995-00604-X},
}


@book{RichterGebert96,
AUTHOR = {Richter-Gebert, J"urgen},
TITLE = {Realization spaces of polytopes},
SERIES = {Lecture Notes in Mathematics},
VOLUME = {1643},
PUBLISHER = {Springer-Verlag, Berlin},
YEAR = {1996},
PAGES = {viii+177},
ISBN = {3-540-61987-X},
MRCLASS = {52B11 (52-02 52B35 52B40)},
MRNUMBER = {1437203},
MRREVIEWER = {J"org M. Wills}
}

@incollection{RichterGebert99,
AUTHOR = {Richter-Gebert, J"urgen},
TITLE = {The universality theorems for oriented matroids and polytopes},
BOOKTITLE = {Discrete and Computational Geometry: Ten Years Later},
SERIES = {Contemp. Math.},
VOLUME = {223},
PAGES = {269–292},
PUBLISHER = {Amer. Math. Soc., Providence, RI},
YEAR = {1999},
MRCLASS = {52B40 (52B11 52C40)},
MRNUMBER = {1661389},
MRREVIEWER = {Ka'\i{}s Talato}
}
\end{verbatim}

@article {Rado52,
    AUTHOR = {Rado, R.},
     TITLE = {An inequality},
   JOURNAL = {J. London Math. Soc.},
  FJOURNAL = {The Journal of the London Mathematical Society},
    VOLUME = {27},
      YEAR = {1952},
     PAGES = {1--6},
      ISSN = {0024-6107,1469-7750},
   MRCLASS = {27.0X},
  MRNUMBER = {45168},
MRREVIEWER = {R.\ C.\ Lyndon},
       DOI = {10.1112/jlms/s1-27.1.1},
       URL = {https://doi.org/10.1112/jlms/s1-27.1.1},
}

@article {Post09,
    AUTHOR = {Postnikov, Alexander},
     TITLE = {Permutohedra, associahedra, and beyond},
   JOURNAL = {Int. Math. Res. Not. IMRN},
  FJOURNAL = {International Mathematics Research Notices. IMRN},
      YEAR = {2009},
    NUMBER = {6},
     PAGES = {1026--1106},
      ISSN = {1073-7928,1687-0247},
   MRCLASS = {05E30},
  MRNUMBER = {2487491},
       DOI = {10.1093/imrn/rnn153},
       URL = {https://doi.org/10.1093/imrn/rnn153},
}

@misc{DSBW25,
      title={Permutahedron Triangulations via Total Linear Stability and the Dual Braid Group}, 
      author={Colin Defant and Melissa Sherman-Bennett and Nathan Williams},
      year={2025},
      eprint={2509.11497},
      archivePrefix={arXiv},
      primaryClass={math.CO},
      url={https://arxiv.org/abs/2509.11497}, 
}

@book {DLRS10,
    AUTHOR = {De Loera, Jes\'us A. and Rambau, J\"org and Santos, Francisco},
     TITLE = {Triangulations},
    SERIES = {Algorithms and Computation in Mathematics},
    VOLUME = {25},
      NOTE = {Structures for algorithms and applications},
 PUBLISHER = {Springer-Verlag, Berlin},
      YEAR = {2010},
     PAGES = {xiv+535},
      ISBN = {978-3-642-12970-4},
   MRCLASS = {52B55 (05C10 52B05 57Q15 68U05)},
  MRNUMBER = {2743368},
       DOI = {10.1007/978-3-642-12971-1},
       URL = {https://doi.org/10.1007/978-3-642-12971-1},
}

@article {AKN24,
    AUTHOR = {Adiprasito, Karim and Kalmanovich, Daniel and Nevo, Eran},
     TITLE = {On the realization space of the cube},
   JOURNAL = {J. Eur. Math. Soc. (JEMS)},
  FJOURNAL = {Journal of the European Mathematical Society (JEMS)},
    VOLUME = {26},
      YEAR = {2024},
    NUMBER = {1},
     PAGES = {261--273},
      ISSN = {1435-9855,1435-9863},
   MRCLASS = {52B11 (52B05)},
  MRNUMBER = {4705651},
MRREVIEWER = {P.\ McMullen},
       DOI = {10.4171/jems/1361},
       URL = {https://doi.org/10.4171/jems/1361},
}

@book {Rassart04,
    AUTHOR = {Rassart, Etienne},
     TITLE = {Geometric approaches to computing {K}ostka numbers and
              {L}ittlewood-{R}ichardson coefficients},
      NOTE = {Thesis (Ph.D.)--Massachusetts Institute of Technology},
 PUBLISHER = {ProQuest LLC, Ann Arbor, MI},
      YEAR = {2004},
     PAGES = {(no paging)},
   MRCLASS = {99-05},
  MRNUMBER = {2717178},
       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:0806260},
}

@book{Bjorneretal1999,
  author    = {Anders Bj{\"o}rner and Michel Las~Vergnas and Bernd Sturmfels 
               and Neil White and G{\"u}nter M. Ziegler},
  title     = {Oriented Matroids},
  series    = {Encyclopedia of Mathematics and its Applications},
  volume    = {46},
  edition   = {2nd},
  publisher = {Cambridge University Press},
  address   = {Cambridge},
  year      = {1999}
}

@book {BjornerBrenti05,
    AUTHOR = {Bj\"orner, Anders and Brenti, Francesco},
     TITLE = {Combinatorics of {C}oxeter groups},
    SERIES = {Graduate Texts in Mathematics},
    VOLUME = {231},
 PUBLISHER = {Springer, New York},
      YEAR = {2005},
     PAGES = {xiv+363},
      ISBN = {978-3540-442387; 3-540-44238-3},
   MRCLASS = {05-01 (05E15 20F55)},
  MRNUMBER = {2133266},
MRREVIEWER = {Jian-yi\ Shi},
}

@book{Schoute1911,
  author    = {Schoute, Pieter Hendrik},
  title     = {{Analytic treatment of the polytopes regularly derived from the regular polytopes}},
  series    = {Verhandelingen der K. Akad. Wetenschappen te Amsterdam},
  volume    = {11},
  number    = {3},
  publisher = {Johannes M{\"u}ller}, 
  address   = {Amsterdam},
  year      = {1911},
  pages     = {1--87},
  note      = {First systematic study of the permutahedron (no explicit name yet).}
}

@book{Pons2023,
  author       = {Viviane Pons},
  title        = {Combinatorics of the Permutahedra, Associahedra, and Friends},
  year         = {2023},
  url          = {https://tel.archives-ouvertes.fr/tel-04390473},
  timestamp    = {Wed, 17 Jan 2024 12:44:48 +0100},
  biburl       = {https://dblp.org/rec/books/hal/Pons23.bib},
  bibsource    = {dblp computer science bibliography, https://dblp.org}
}

@article{DeConciniProcesi1995,
  author    = {De Concini, Corrado and Procesi, Claudio},
  title     = {Wonderful models of subspace arrangements},
  journal   = {Selecta Mathematica (N.S.)},
  volume    = {1},
  number    = {3},
  pages     = {459--494},
  year      = {1995},
  doi       = {10.1007/BF01589496}
}

@book {Humphreys90,
    AUTHOR = {Humphreys, James E.},
     TITLE = {Reflection groups and {C}oxeter groups},
    SERIES = {Cambridge Studies in Advanced Mathematics},
    VOLUME = {29},
 PUBLISHER = {Cambridge University Press, Cambridge},
      YEAR = {1990},
     PAGES = {xii+204},
      ISBN = {0-521-37510-X},
   MRCLASS = {20-02 (20F32 20F55 20G15 20H15)},
  MRNUMBER = {1066460},
MRREVIEWER = {Louis\ Solomon},
       DOI = {10.1017/CBO9780511623646},
       URL = {https://doi.org/10.1017/CBO9780511623646},
}

@book {SteinitzRademacher76,
    AUTHOR = {Steinitz, Ernst and Rademacher, Hans},
     TITLE = {Vorlesungen \"uber die {T}heorie der {P}olyeder unter
              {E}inschluss der {E}lemente der {T}opologie},
    SERIES = {Grundlehren der Mathematischen Wissenschaften},
    VOLUME = {No. 41},
      NOTE = {Reprint der 1934 Auflage},
 PUBLISHER = {Springer-Verlag, Berlin-New York},
      YEAR = {1976},
     PAGES = {viii+351},
   MRCLASS = {52-01 (55-01)},
  MRNUMBER = {430958},
}

@incollection{Steinitz1922,
  author    = {Ernst Steinitz},
  title     = {Polyeder und Raumeinteilungen},
  booktitle = {Encyklop{\"a}die der Mathematischen Wissenschaften},
  volume    = {3},
  part      = {3AB12},
  pages     = {1--139},
  publisher = {Teubner},
  address   = {Leipzig},
  year      = {1922},
}