% This is an example bibliography file for FPSAC submissions.

@article {alcove1,
    AUTHOR = {Lam, Thomas and Postnikov, Alexander},
     TITLE = {Alcoved polytopes. {I}},
   JOURNAL = {Discrete Comput. Geom.},
  FJOURNAL = {Discrete \& Computational Geometry. An International Journal
              of Mathematics and Computer Science},
    VOLUME = {38},
      YEAR = {2007},
    NUMBER = {3},
     PAGES = {453--478},
   MRCLASS = {52B12 (52B40)},
  MRNUMBER = {2352704},
MRREVIEWER = {Jes\'us\ A.\ De Loera},
       DOI = {10.1007/s00454-006-1294-3},
}

@incollection {alcove2,
    AUTHOR = {Lam, Thomas and Postnikov, Alexander},
     TITLE = {Alcoved polytopes {II}},
 BOOKTITLE = {Lie groups, geometry, and representation theory},
    SERIES = {Progr. Math.},
    VOLUME = {326},
     PAGES = {253--272},
 PUBLISHER = {Birkh\"auser/Springer, Cham},
      YEAR = {2018},
   MRCLASS = {52B12 (05E10 20F55)},
  MRNUMBER = {3890212},
MRREVIEWER = {Gabriel\ K.\ Cunningham},
       DOI = {10.1007/978-3-030-02191-7\_10},
}

@article {stanley80,
    AUTHOR = {Stanley, Richard P.},
     TITLE = {Decompositions of rational convex polytopes},
   JOURNAL = {Ann. Discrete Math.},
  FJOURNAL = {Annals of Discrete Mathematics},
    VOLUME = {6},
      YEAR = {1980},
     PAGES = {333--342},
   MRCLASS = {52A43},
  MRNUMBER = {593545},
MRREVIEWER = {P.\ McMullen},
}

@article{hypercube,
    author = {Stanley, Richard P.},
    title = {Eulerian partitions of a unit hypercube},
    journal = {Proceedings of the NATO Advanced Study Institute},
    year = {1977}
}


@article {rationalhstar22,
    AUTHOR = {Beck, Matthias and Braun, Benjamin and Vindas-Mel\'endez,
              Andr\'es R.},
     TITLE = {Decompositions of {E}hrhart {$h^*$}-polynomials for rational
              polytopes},
   JOURNAL = {Discrete Comput. Geom.},
  FJOURNAL = {Discrete \& Computational Geometry. An International Journal
              of Mathematics and Computer Science},
    VOLUME = {68},
      YEAR = {2022},
    NUMBER = {1},
     PAGES = {50--71},
   MRCLASS = {52B20 (05A15 05A20 52B11)},
  MRNUMBER = {4430280},
MRREVIEWER = {Akiyoshi\ Tsuchiya},
       DOI = {10.1007/s00454-021-00341-0},
}

@article {fz03,
    AUTHOR = {Fomin, Sergey and Zelevinsky, Andrei},
     TITLE = {{$Y$}-systems and generalized associahedra},
   JOURNAL = {Ann. of Math. (2)},
  FJOURNAL = {Annals of Mathematics. Second Series},
    VOLUME = {158},
      YEAR = {2003},
    NUMBER = {3},
     PAGES = {977--1018},
   MRCLASS = {17B20 (20F55 52B12)},
  MRNUMBER = {2031858},
MRREVIEWER = {Ivan\ Arzhantsev},
       DOI = {10.4007/annals.2003.158.977},
}

@book {humphreys,
    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},
   MRCLASS = {20-02 (20F32 20F55 20G15 20H15)},
  MRNUMBER = {1066460},
MRREVIEWER = {Louis\ Solomon},
       DOI = {10.1017/CBO9780511623646},
}

@article {ehrhart,
    AUTHOR = {Ehrhart, Eug\`ene},
     TITLE = {Sur les poly\`edres rationnels homoth\'etiques \`a{} {$n$}\
              dimensions},
   JOURNAL = {C. R. Acad. Sci. Paris},
  FJOURNAL = {Comptes Rendus Hebdomadaires des S\'eances de l'Acad\'emie des
              Sciences},
    VOLUME = {254},
      YEAR = {1962},
     PAGES = {616--618},
   MRCLASS = {10.25 (52.10)},
  MRNUMBER = {130860},
}

@article {beck22,
    AUTHOR = {Beck, Matthias and Elia, Sophia and Rehberg, Sophie},
     TITLE = {Rational {E}hrhart theory},
   JOURNAL = {S\'em. Lothar. Combin.},
  FJOURNAL = {S\'eminaire Lotharingien de Combinatoire},
    VOLUME = {86B},
      YEAR = {2022},
     PAGES = {Art. 44, 12},
   MRCLASS = {52B20 (05A15 11P21)},
  MRNUMBER = {4490885},
}

@article {BBKV13,
    AUTHOR = {Baldoni, V. and Berline, N. and K\"oppe, M. and Vergne, M.},
     TITLE = {Intermediate sums on polyhedra: computation and real {E}hrhart
              theory},
   JOURNAL = {Mathematika},
  FJOURNAL = {Mathematika. A Journal of Pure and Applied Mathematics},
    VOLUME = {59},
      YEAR = {2013},
    NUMBER = {1},
     PAGES = {1--22},
   MRCLASS = {52C07 (05A15 52B45 68R05 68U05 90C10)},
  MRNUMBER = {3028168},
MRREVIEWER = {Alexander\ I.\ Barvinok},
       DOI = {10.1112/S0025579312000101},
}

@article {linke11,
    AUTHOR = {Linke, Eva},
     TITLE = {Rational {E}hrhart quasi-polynomials},
   JOURNAL = {J. Combin. Theory Ser. A},
  FJOURNAL = {Journal of Combinatorial Theory. Series A},
    VOLUME = {118},
      YEAR = {2011},
    NUMBER = {7},
     PAGES = {1966--1978},
   MRCLASS = {52B20 (52C07)},
  MRNUMBER = {2802181},
MRREVIEWER = {Benjamin\ Braun},
       DOI = {10.1016/j.jcta.2011.03.007},
}




@misc{early2017conjectures,
      title={Conjectures for Ehrhart $h^*$-vectors of Hypersimplices and Dilated Simplices}, 
      author={Nick Early},
      year={2017},
      eprint={1710.09507},
      eprinttype={arxiv},

}

@article{Kimh*,
    AUTHOR = {Kim, Donghyun},
     TITLE = {A combinatorial formula for the {E}hrhart {$h^\ast$}-vector of
              the hypersimplex},
   JOURNAL = {J. Combin. Theory Ser. A},
  FJOURNAL = {Journal of Combinatorial Theory. Series A},
    VOLUME = {173},
      YEAR = {2020},
     PAGES = {105213, 15 pp.},
   MRCLASS = {05E45 (05E10 52B20)},
  MRNUMBER = {4056090},
MRREVIEWER = {Hailun\ Zheng},
       DOI = {10.1016/j.jcta.2020.105213},
}







@misc{ocneanu2013,
      title={On the inner structure of a permutation: Bicolored Partitions and Eulerians, Trees and Primitives}, 
      author={Adrian Ocneanu},
      year={2013},
      eprint={1304.1263},
      eprinttype={arxiv},
}


@article{gale,
    AUTHOR = {Gale, David},
     TITLE = {Optimal assignments in an ordered set: {A}n application of
              matroid theory},
   JOURNAL = {J. Combinatorial Theory},
  FJOURNAL = {Journal of Combinatorial Theory},
    VOLUME = {4},
      YEAR = {1968},
     PAGES = {176--180},
}


@incollection{chapoton,
    AUTHOR = {Chapoton, Fr\'ed\'eric and Fomin, Sergey and Zelevinsky,
              Andrei},
     TITLE = {Polytopal realizations of generalized associahedra},
      NOTE = {Dedicated to Robert V.\ Moody},
   JOURNAL = {Canad. Math. Bull.},
  FJOURNAL = {Canadian Mathematical Bulletin. Bulletin Canadien de
              Math\'ematiques},
    VOLUME = {45},
      YEAR = {2002},
    NUMBER = {4},
     PAGES = {537--566},
   MRCLASS = {52C07 (05E15 20F55)},
  MRNUMBER = {1941227},
MRREVIEWER = {Alexander\ Zvonkin},
       DOI = {10.4153/CMB-2002-054-1},
}


@article{katzman2005hilbert,
    AUTHOR = {Katzman, Mordechai},
     TITLE = {The {H}ilbert series of algebras of the {V}eronese type},
   JOURNAL = {Comm. Algebra},
  FJOURNAL = {Communications in Algebra},
    VOLUME = {33},
      YEAR = {2005},
    NUMBER = {4},
     PAGES = {1141--1146},
       DOI = {10.1081/AGB-200053828},
}

@misc{valencia2021ehrhart,
  TITLE={Ehrhart theory of lattice path matroid polytopes},
  AUTHOR={Valencia Porras, Jer{\'o}nimo},
  YEAR={2021},
  PUBLISHER={Universidad de los Andes}
}