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@misc{branden-private,
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@ARTICLE{papadakis-petrotou,
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}


@ARTICLE{adiprasito,
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}


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}



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}

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@ARTICLE{lam-postnikov-polypositroids,
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      adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}

@article {herzog-hibi,
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@ARTICLE{adiprasito-papadakis-petrotou-steinmeyer,
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 primaryClass = {math.CO},
       adsurl = {https://ui.adsabs.harvard.edu/abs/2022arXiv221010734A},
      adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}


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@ARTICLE{mcginnis,
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       adsurl = {https://ui.adsabs.harvard.edu/abs/2023arXiv230304113M},
      adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}

@article {ferroni-jochemko-schroter,
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@Misc{FH,
 Author = {Ferroni, Luis and Higashitani, Akihiro},
 Title = {Examples and counterexamples in {Ehrhart} theory},
 Year = {2023},
 eprinttype = {arXiv},
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}


@incollection {braun,
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@book {stanley-ec1,
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   JOURNAL = {Proc. London Math. Soc. (3)},
  FJOURNAL = {Proceedings of the London Mathematical Society. Third Series},
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    NUMBER = {1},
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       URL = {https://doi.org/10.1112/plms/s3-35.1.113},
}

@article {ehrhart,
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   JOURNAL = {C. R. Acad. Sci. Paris},
  FJOURNAL = {Comptes Rendus Hebdomadaires des S\'{e}ances de l'Acad\'{e}mie
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  MRNUMBER = {130860},
}

@book {ziegler,
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     TITLE = {Lectures on polytopes},
    SERIES = {Graduate Texts in Mathematics},
    VOLUME = {152},
 PUBLISHER = {Springer-Verlag, NY},
      YEAR = {1995},
     PAGES = {x+370},
   MRCLASS = {52Bxx},
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MRREVIEWER = {Margaret\ M.\ Bayer},
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}

@book {beck-robins,
    AUTHOR = {Beck, Matthias and Robins, Sinai},
     TITLE = {Computing the continuous discretely},
    SERIES = {Undergraduate Texts in Mathematics},
   EDITION = {Second edition},
 PUBLISHER = {Springer, NY},
      YEAR = {2015},
     PAGES = {xx+285 pp.},
      ISBN = {978-1-4939-2968-9; 978-1-4939-2969-6},
   MRCLASS = {11P21 (05A15 05B15 11-02 11H06 52B05 52B20)},
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}

@article {postnikov,
    AUTHOR = {Postnikov, Alexander},
     TITLE = {Permutohedra, associahedra, and beyond},
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   MRCLASS = {05E30},
  MRNUMBER = {2487491},
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}

@article {padrol-pilaud-ritter,
    AUTHOR = {Padrol, Arnau and Pilaud, Vincent and Ritter, Julian},
     TITLE = {Shard {P}olytopes},
   JOURNAL = {Int. Math. Res. Not. IMRN},
  FJOURNAL = {International Mathematics Research Notices. IMRN},
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    NUMBER = {9},
     PAGES = {7686--7796},
   MRCLASS = {99-06},
  MRNUMBER = {4584712},
       DOI = {10.1093/imrn/rnac042},
       URL = {https://doi.org/10.1093/imrn/rnac042},
}

@book {hibi,
    AUTHOR = {Hibi, Takayuki},
     TITLE = {Algebraic combinatorics on convex polytopes},
 PUBLISHER = {Carslaw Publications, Glebe},
      YEAR = {1992},
     PAGES = {x+164},
   MRCLASS = {52-02 (05E45 13F55 57Q05)},
  MRNUMBER = {3183743},
}

@article {branden-huh,
    AUTHOR = {Br{\"a}nd{\'e}n, Petter and Huh, June},
     TITLE = {Lorentzian polynomials},
   JOURNAL = {Ann. of Math. (2)},
  FJOURNAL = {Annals of Mathematics. Second Series},
    VOLUME = {192},
      YEAR = {2020},
    NUMBER = {3},
     PAGES = {821--891},
   MRCLASS = {52B40 (05A20 14T15)},
  MRNUMBER = {4172622},
MRREVIEWER = {Trygve\ Johnsen},
       DOI = {10.4007/annals.2020.192.3.4},
       URL = {https://doi.org/10.4007/annals.2020.192.3.4},
}


@article {wagner,
    AUTHOR = {Wagner, David G.},
     TITLE = {Total positivity of {H}adamard products},
   JOURNAL = {J. Math. Anal. Appl.},
  FJOURNAL = {Journal of Mathematical Analysis and Applications},
    VOLUME = {163},
      YEAR = {1992},
    NUMBER = {2},
     PAGES = {459--483},
   MRCLASS = {15A48 (15A57)},
  MRNUMBER = {1145841},
MRREVIEWER = {M.\ Tismenetsky},
       DOI = {10.1016/0022-247X(92)90261-B},
       URL = {https://doi.org/10.1016/0022-247X(92)90261-B},
}

@ARTICLE{backman-liu,
       author = {{Backman}, Spencer and {Liu}, Gaku},
        title = "{A Regular Unimodular Triangulation of the Matroid Base Polytope}",
      journal = {arXiv e-prints},
     keywords = {Mathematics - Combinatorics, Mathematics - Metric Geometry, 52B40 (Primary) 05B35 (Secondary)},
         year = 2023,
        month = sep,
          eid = {arXiv:2309.10229},
        pages = {arXiv:2309.10229},
          doi = {10.48550/arXiv.2309.10229},
archivePrefix = {arXiv},
       eprint = {2309.10229},
 primaryClass = {math.CO},
       adsurl = {https://ui.adsabs.harvard.edu/abs/2023arXiv230910229B},
      adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}

@article {higashitani-jochemko-michalek,
    AUTHOR = {Higashitani, Akihiro and Jochemko, Katharina and Micha{\l}ek,
              Mateusz},
     TITLE = {Arithmetic aspects of symmetric edge polytopes},
   JOURNAL = {Mathematika},
  FJOURNAL = {Mathematika. A Journal of Pure and Applied Mathematics},
    VOLUME = {65},
      YEAR = {2019},
    NUMBER = {3},
     PAGES = {763--784},
   MRCLASS = {52B20 (05C31 13P10 26C10 52B15)},
  MRNUMBER = {3949939},
MRREVIEWER = {Mizan\ R.\ Khan},
       DOI = {10.1112/s0025579319000147},
       URL = {https://doi.org/10.1112/s0025579319000147},
}

@article {fan-li,
    AUTHOR = {Fan, Neil J. Y. and Li, Yao},
     TITLE = {On the {E}hrhart polynomial of {S}chubert matroids},
   JOURNAL = {Discrete Comput. Geom.},
  FJOURNAL = {Discrete \& Computational Geometry. An International Journal
              of Mathematics and Computer Science},
    VOLUME = {71},
      YEAR = {2024},
    NUMBER = {2},
     PAGES = {587--626},
   MRCLASS = {52B40 (05B35 14N15 52B20)},
  MRNUMBER = {4700317},
       DOI = {10.1007/s00454-023-00495-z},
       URL = {https://doi.org/10.1007/s00454-023-00495-z},
}

@ARTICLE{defant,
    AUTHOR = {Defant, Colin},
     TITLE = {Fertilitopes},
   JOURNAL = {Discrete Comput. Geom.},
  FJOURNAL = {Discrete \& Computational Geometry. An International Journal
              of Mathematics and Computer Science},
    VOLUME = {70},
      YEAR = {2023},
    NUMBER = {3},
     PAGES = {713--752},
   MRCLASS = {52B12 (05A05 05A19 46L53 52B40)},
  MRNUMBER = {4650021},
       DOI = {10.1007/s00454-023-00488-y},
       URL = {https://doi.org/10.1007/s00454-023-00488-y},
}

@article {hanely-et-al,
    AUTHOR = {Hanely, Derek and Martin, Jeremy L. and McGinnis, Daniel and
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              Andr\'{e}s R. and Yin, Mei},
     TITLE = {Ehrhart theory of paving and panhandle matroids},
   JOURNAL = {Adv. Geom.},
  FJOURNAL = {Advances in Geometry},
    VOLUME = {23},
      YEAR = {2023},
    NUMBER = {4},
     PAGES = {501--526},
   MRCLASS = {05B35 (05B25 52B40)},
  MRNUMBER = {4655534},
       DOI = {10.1515/advgeom-2023-0020},
       URL = {https://doi.org/10.1515/advgeom-2023-0020},
}


@article {liu-tsuchiya,
    AUTHOR = {Liu, Fu and Tsuchiya, Akiyoshi},
     TITLE = {Stanley's non-{E}hrhart-positive order polytopes},
   JOURNAL = {Adv. in Appl. Math.},
  FJOURNAL = {Advances in Applied Mathematics},
    VOLUME = {108},
      YEAR = {2019},
     PAGES = {1--10},
   MRCLASS = {05A15 (52B20)},
  MRNUMBER = {3933317},
MRREVIEWER = {Robert Davis},
       DOI = {10.1016/j.aam.2019.03.004},
       URL = {https://doi.org/10.1016/j.aam.2019.03.004},
}

@article {katzman,
    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},
   MRCLASS = {13A02 (13D40 13H15 14M25)},
  MRNUMBER = {2136691},
MRREVIEWER = {David E. Rush},
       DOI = {10.1081/AGB-200053828},
       URL = {https://doi.org/10.1081/AGB-200053828},
}

@article {ferroni2,
    AUTHOR = {Ferroni, Luis},
     TITLE = {On the {E}hrhart polynomial of minimal matroids},
   JOURNAL = {Discrete Comput. Geom.},
  FJOURNAL = {Discrete \& Computational Geometry. An International Journal
              of Mathematics and Computer Science},
    VOLUME = {68},
      YEAR = {2022},
    NUMBER = {1},
     PAGES = {255--273},
   MRCLASS = {05B35 (52B20)},
  MRNUMBER = {4430288},
MRREVIEWER = {Joseph E. Bonin},
       DOI = {10.1007/s00454-021-00313-4},
       URL = {https://doi.org/10.1007/s00454-021-00313-4},
}

@article {ferroni3,
    AUTHOR = {{Ferroni}, Luis},
     TITLE = {Matroids are not {E}hrhart positive},
   JOURNAL = {Adv. Math.},
  FJOURNAL = {Advances in Mathematics},
    VOLUME = {402},
      YEAR = {2022},
     PAGES = {Paper No. 108337, 27},
   MRCLASS = {52B40 (05B35 52B20)},
  MRNUMBER = {4396506},
MRREVIEWER = {Margaret M. Bayer},
       DOI = {10.1016/j.aim.2022.108337},
       URL = {https://doi.org/10.1016/j.aim.2022.108337},
}


@book {cox-little-schenck,
    AUTHOR = {Cox, David A. and Little, John B. and Schenck, Henry K.},
     TITLE = {Toric varieties},
    SERIES = {Graduate Studies in Mathematics},
    VOLUME = {124},
 PUBLISHER = {American Mathematical Society, Providence, RI},
      YEAR = {2011},
     PAGES = {xxiv+841},
   MRCLASS = {14M25 (05A15 05E45 52B12)},
  MRNUMBER = {2810322},
MRREVIEWER = {Ivan\ Arzhantsev},
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@article {mustata-payne,
    AUTHOR = {Musta\c{t}\v{a}, Mircea and Payne, Sam},
     TITLE = {Ehrhart polynomials and stringy {B}etti numbers},
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  FJOURNAL = {Mathematische Annalen},
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      YEAR = {2005},
    NUMBER = {4},
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MRREVIEWER = {Ignacio Ojeda},
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       URL = {https://doi.org/10.1007/s00208-005-0691-x},
}

@article {higashitani-ohsugi,
    AUTHOR = {Higashitani, Akihiro and Ohsugi, Hidefumi},
     TITLE = {Toric ideals of {M}inkowski sums of unit simplices},
   JOURNAL = {Algebr. Comb.},
  FJOURNAL = {Algebraic Combinatorics},
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      YEAR = {2020},
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   MRCLASS = {13P10 (14M25 52B20)},
  MRNUMBER = {4145980},
MRREVIEWER = {Margherita Barile},
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       URL = {https://doi.org/10.5802/alco.117},
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@article {aissen-schoenberg-whitney,
    AUTHOR = {Aissen, Michael and Schoenberg, I. J. and Whitney, A. M.},
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  FJOURNAL = {Journal d'Analyse Math\'{e}matique},
    VOLUME = {2},
      YEAR = {1952},
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  MRNUMBER = {53174},
MRREVIEWER = {E. Hille},
       DOI = {10.1007/BF02786970},
       URL = {https://doi.org/10.1007/BF02786970},
}


@book {polishchuk-positselski,
    AUTHOR = {Polishchuk, Alexander and Positselski, Leonid},
     TITLE = {Quadratic algebras},
    SERIES = {University Lecture Series},
    VOLUME = {37},
 PUBLISHER = {American Mathematical Society, Providence, RI},
      YEAR = {2005},
     PAGES = {xii+159},
   MRCLASS = {16S37 (16E30)},
  MRNUMBER = {2177131},
MRREVIEWER = {Ralf Fr\"{o}berg},
       DOI = {10.1090/ulect/037},
       URL = {https://doi.org/10.1090/ulect/037},
}


@article {haase-paffenholz-piechnik-santos,
    AUTHOR = {Haase, Christian and Paffenholz, Andreas and Piechnik, Lindsay
              C. and Santos, Francisco},
     TITLE = {Existence of unimodular triangulations---positive results},
   JOURNAL = {Mem. Amer. Math. Soc.},
  FJOURNAL = {Memoirs of the American Mathematical Society},
    VOLUME = {270},
      YEAR = {2021},
    NUMBER = {1321},
     PAGES = {v+83},
      ISBN = {978-1-4704-4716-8; 978-1-4704-6530-8},
   MRCLASS = {52B20 (13F20)},
  MRNUMBER = {4277268},
       DOI = {10.1090/memo/1321},
       URL = {https://doi.org/10.1090/memo/1321},
}
		
@article {payne,
    AUTHOR = {Payne, Sam},
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  FJOURNAL = {Discrete \& Computational Geometry. An International Journal
              of Mathematics and Computer Science},
    VOLUME = {40},
      YEAR = {2008},
    NUMBER = {3},
     PAGES = {365--376},
   MRCLASS = {52B20 (05A15 52B70)},
  MRNUMBER = {2443289},
MRREVIEWER = {Matthias\ Beck},
       DOI = {10.1007/s00454-007-9002-5},
       URL = {https://doi.org/10.1007/s00454-007-9002-5},
}

@article {white64,
    AUTHOR = {White, G. K.},
     TITLE = {Lattice tetrahedra},
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              Math\'{e}matiques},
    VOLUME = {16},
      YEAR = {1964},
     PAGES = {389--396},
   MRCLASS = {10.25 (52.30)},
  MRNUMBER = {161837},
MRREVIEWER = {I.\ Danicic},
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       URL = {https://doi.org/10.4153/CJM-1964-040-2},
}

@book {bruns-gubeladze-book,
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     TITLE = {Polytopes, rings, and {$K$}-theory},
    SERIES = {Springer Monographs in Mathematics},
 PUBLISHER = {Springer, Dordrecht},
      YEAR = {2009},
     PAGES = {xiv+461},
   MRCLASS = {19-02 (11H06 13F45 14M25 52-01 52B20)},
  MRNUMBER = {2508056},
MRREVIEWER = {T.\ Oda},
       DOI = {10.1007/b105283},
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}

@article {bruns-gubeladze-99,
    AUTHOR = {Bruns, Winfried and Gubeladze, Joseph},
     TITLE = {Normality and covering properties of affine semigroups},
   JOURNAL = {J. Reine Angew. Math.},
  FJOURNAL = {Journal f\"{u}r die Reine und Angewandte Mathematik. [Crelle's
              Journal]},
    VOLUME = {510},
      YEAR = {1999},
     PAGES = {161--178},
   MRCLASS = {52B20 (20M99)},
  MRNUMBER = {1696094},
MRREVIEWER = {Jes\'{u}s\ A.\ De Loera},
       DOI = {10.1515/crll.1999.044},
       URL = {https://doi.org/10.1515/crll.1999.044},
}


@Book{herzog-hibi-ohsugi,
    AUTHOR = {Herzog, J\"{u}rgen and Hibi, Takayuki and Ohsugi, Hidefumi},
     TITLE = {Binomial ideals},
    SERIES = {Graduate Texts in Mathematics},
    VOLUME = {279},
 PUBLISHER = {Springer, Cham},
      YEAR = {2018},
     PAGES = {xix+321},
      ISBN = {978-3-319-95347-2; 978-3-319-95349-6},
   MRCLASS = {13F20 (13-02 13P10 13P25 14M25 52B20)},
  MRNUMBER = {3838370},
MRREVIEWER = {Thomas\ Kahle},
       DOI = {10.1007/978-3-319-95349-6},
       URL = {https://doi.org/10.1007/978-3-319-95349-6},
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@Article{hibi-lbt,
 AUTHOR = {Hibi, Takayuki},
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   JOURNAL = {Adv. Math.},
  FJOURNAL = {Advances in Mathematics},
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  MRNUMBER = {1275662},
MRREVIEWER = {P.\ McMullen},
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       URL = {https://doi.org/10.1006/aima.1994.1042},
}

@Article{higashitani-unimodal,
 AUTHOR = {{Higashitani}, Akihiro},
     TITLE = {Unimodality of {$\delta$}-vectors of lattice polytopes and two
              related properties},
   JOURNAL = {Eur. J. Math.},
  FJOURNAL = {European Journal of Mathematics},
    VOLUME = {5},
      YEAR = {2019},
    NUMBER = {2},
     PAGES = {333--355},
   MRCLASS = {52B20 (52B12)},
  MRNUMBER = {3946583},
MRREVIEWER = {Hossein\ Sabzrou},
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       URL = {https://doi.org/10.1007/s40879-018-0282-5},
}

@ARTICLE{chan-pak-panova,
       author = {{Chan}, Swee Hong and {Pak}, Igor and {Panova}, Greta},
        title = "{Effective poset inequalities}",
      journal = {arXiv e-prints},
     keywords = {Mathematics - Combinatorics, Computer Science - Computational Complexity, Computer Science - Discrete Mathematics},
         year = 2022,
        month = may,
          eid = {arXiv:2205.02798},
        pages = {arXiv:2205.02798},
          doi = {10.48550/arXiv.2205.02798},
archivePrefix = {arXiv},
       eprint = {2205.02798},
 primaryClass = {math.CO},
       adsurl = {https://ui.adsabs.harvard.edu/abs/2022arXiv220502798C},
      adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}

@article {froberg,
    AUTHOR = {Fr{\"o}berg, Ralph},
     TITLE = {Determination of a class of {P}oincar\'{e} series},
   JOURNAL = {Math. Scand.},
  FJOURNAL = {Mathematica Scandinavica},
    VOLUME = {37},
      YEAR = {1975},
    NUMBER = {1},
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MRREVIEWER = {M.\ Nagata},
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       URL = {https://doi.org/10.7146/math.scand.a-11585},
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@article {dali-juhnke-venturello,
    AUTHOR = {D'Al\`{i}, Alessio and Juhnke-Kubitzke, Martina and K\"{o}hne,
              Daniel and Venturello, Lorenzo},
     TITLE = {On the gamma-vector of symmetric edge polytopes},
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  FJOURNAL = {SIAM Journal on Discrete Mathematics},
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      YEAR = {2023},
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  MRNUMBER = {4580333},
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}

@ARTICLE{vindas,
       author = {{Hanada}, Mitsuki and {Lentfer}, John and {Vindas-Mel{\'e}ndez}, Andr{\'e}s R.},
        title = "{Generalized parking function polytopes}",
      journal = {arXiv e-prints},
     keywords = {Mathematics - Combinatorics, 52A38, 52B05, 05A15},
         year = 2022,
        month = dec,
          eid = {arXiv:2212.06885},
        pages = {arXiv:2212.06885},
          doi = {10.48550/arXiv.2212.06885},
archivePrefix = {arXiv},
       eprint = {2212.06885},
 primaryClass = {math.CO},
       adsurl = {https://ui.adsabs.harvard.edu/abs/2022arXiv221206885H},
      adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}



@ARTICLE{sinn-sjoberg,
       author = {{Sinn}, Rainer and {Sj{\"o}berg}, Hannah},
        title = "{Do alcoved lattice polytopes have unimodal h*-vector?}",
      journal = {arXiv e-prints},
     keywords = {Mathematics - Combinatorics},
         year = 2021,
        month = apr,
          eid = {arXiv:2104.15080},
        pages = {arXiv:2104.15080},
          doi = {10.48550/arXiv.2104.15080},
archivePrefix = {arXiv},
       eprint = {2104.15080},
 primaryClass = {math.CO},
       adsurl = {https://ui.adsabs.harvard.edu/abs/2021arXiv210415080S},
      adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}


@book {handbook-dcg,
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 PUBLISHER = {CRC Press, Boca Raton, FL},
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  MRNUMBER = {3793131},
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@incollection {cottonwood,
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              Robins, Sinai and Sch\"{u}rmann, Achill},
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    VOLUME = {374},
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 PUBLISHER = {Amer. Math. Soc., Providence, RI},
      YEAR = {2005},
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  MRNUMBER = {2134767},
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}

@ARTICLE{oda,
       author = {{Oda}, Tadao},
        title = "{Problems on Minkowski sums of convex lattice polytopes}",
      journal = {arXiv e-prints},
     keywords = {Mathematics - Algebraic Geometry, Mathematics - Combinatorics, 14M25, 52B20},
         year = 2008,
        month = dec,
          eid = {arXiv:0812.1418},
        pages = {arXiv:0812.1418},
          doi = {10.48550/arXiv.0812.1418},
archivePrefix = {arXiv},
       eprint = {0812.1418},
 primaryClass = {math.AG},
       adsurl = {https://ui.adsabs.harvard.edu/abs/2008arXiv0812.1418O},
      adsnote = {Provided by the SAO/NASA Astrophysics Data System}
}



@incollection {bruns-quest,
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}

@book {deloera-rambau-santos,
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     TITLE = {Triangulations},
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    VOLUME = {25},
      NOTE = {Structures for algorithms and applications},
 PUBLISHER = {Springer-Verlag, Berlin},
      YEAR = {2010},
     PAGES = {xiv+535},
   MRCLASS = {52B55 (05C10 52B05 57Q15 68U05)},
  MRNUMBER = {2743368},
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       URL = {https://doi.org/10.1007/978-3-642-12971-1},
}


@article {stapledon,
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     TITLE = {Additive number theory and inequalities in {E}hrhart theory},
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  FJOURNAL = {International Mathematics Research Notices. IMRN},
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    NUMBER = {5},
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   MRCLASS = {52B20 (05A15 11B30 11H06)},
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MRREVIEWER = {Matthias\ Beck},
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       URL = {https://doi.org/10.1093/imrn/rnv186},
}

@Article{ohsugi-hibi-1998, 
    AUTHOR = {Ohsugi, Hidefumi and Hibi, Takayuki},
     TITLE = {Normal polytopes arising from finite graphs},
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    VOLUME = {207},
      YEAR = {1998},
    NUMBER = {2},
     PAGES = {409--426},
   MRCLASS = {13A30 (05C70 13F55 52B20)},
  MRNUMBER = {1644250},
MRREVIEWER = {Rafael\ H.\ Villarreal},
       DOI = {10.1006/jabr.1998.7476},
       URL = {https://doi.org/10.1006/jabr.1998.7476},
}

@Article{simis-vasconcelos-villarreal-1994,
    AUTHOR = {Simis, Aron and Vasconcelos, Wolmer V. and Villarreal, Rafael
              H.},
     TITLE = {On the ideal theory of graphs},
   JOURNAL = {J. Algebra},
  FJOURNAL = {Journal of Algebra},
    VOLUME = {167},
      YEAR = {1994},
    NUMBER = {2},
     PAGES = {389--416},
   MRCLASS = {13A30 (05C90 13H10)},
  MRNUMBER = {1283294},
MRREVIEWER = {P.\ Schenzel},
       DOI = {10.1006/jabr.1994.1192},
       URL = {https://doi.org/10.1006/jabr.1994.1192},
}

@Article{matsui-hibi-higashitani-nagazawa-hibi,
    AUTHOR = {Matsui, Tetsushi and Higashitani, Akihiro and Nagazawa, Yuuki
              and Ohsugi, Hidefumi and Hibi, Takayuki},
     TITLE = {Roots of {E}hrhart polynomials arising from graphs},
   JOURNAL = {J. Algebraic Combin.},
  FJOURNAL = {Journal of Algebraic Combinatorics. An International Journal},
    VOLUME = {34},
      YEAR = {2011},
    NUMBER = {4},
     PAGES = {721--749},
   MRCLASS = {52B12 (05C31)},
  MRNUMBER = {2842918},
MRREVIEWER = {Mihai\ Cipu},
       DOI = {10.1007/s10801-011-0290-8},
       URL = {https://doi.org/10.1007/s10801-011-0290-8},
}

@article {braun-davis-solus,
    AUTHOR = {Braun, Benjamin and Davis, Robert and Solus, Liam},
     TITLE = {Detecting the integer decomposition property and {E}hrhart
              unimodality in reflexive simplices},
   JOURNAL = {Adv. in Appl. Math.},
  FJOURNAL = {Advances in Applied Mathematics},
    VOLUME = {100},
      YEAR = {2018},
     PAGES = {122--142},
   MRCLASS = {52B20 (05A15 05A20 05E40)},
  MRNUMBER = {3835192},
MRREVIEWER = {Matthias\ Beck},
       DOI = {10.1016/j.aam.2018.06.003},
       URL = {https://doi.org/10.1016/j.aam.2018.06.003},
}

@article {braun-liu,
    AUTHOR = {Braun, Benjamin and Liu, Fu},
     TITLE = {{$h$}*-polynomials with roots on the unit circle},
   JOURNAL = {Exp. Math.},
  FJOURNAL = {Experimental Mathematics},
    VOLUME = {30},
      YEAR = {2021},
    NUMBER = {3},
     PAGES = {332--348},
   MRCLASS = {52B20 (05A15 26C10)},
  MRNUMBER = {4309310},
MRREVIEWER = {Robert\ Davis},
       DOI = {10.1080/10586458.2018.1538912},
       URL = {https://doi.org/10.1080/10586458.2018.1538912},
}

@article {castillo-liu-nill-paffenholz,
    AUTHOR = {Castillo, Federico and Liu, Fu and Nill, Benjamin and
              Paffenholz, Andreas},
     TITLE = {Smooth polytopes with negative {E}hrhart coefficients},
   JOURNAL = {J. Combin. Theory Ser. A},
  FJOURNAL = {Journal of Combinatorial Theory. Series A},
    VOLUME = {160},
      YEAR = {2018},
     PAGES = {316--331},
   MRCLASS = {52B20},
  MRNUMBER = {3846206},
MRREVIEWER = {Robert\ Davis},
       DOI = {10.1016/j.jcta.2018.06.014},
       URL = {https://doi.org/10.1016/j.jcta.2018.06.014},
}

@article {athanasiadis-gamma,
    AUTHOR = {Athanasiadis, Christos A.},
     TITLE = {Gamma-positivity in combinatorics and geometry},
   JOURNAL = {S\'{e}m. Lothar. Combin.},
  FJOURNAL = {S\'{e}minaire Lotharingien de Combinatoire},
    VOLUME = {77},
      YEAR = {[2016--2018]},
     PAGES = {Art. B77i, 64},
   MRCLASS = {05E05 (05A05 05A15 05E45 06A11 20B30 20F55)},
  MRNUMBER = {3878174},
MRREVIEWER = {Christian\ Stump},
}

@article {ardila-escobar,
    AUTHOR = {Ardila, Federico and Escobar, Laura},
     TITLE = {The harmonic polytope},
   JOURNAL = {Selecta Math. (N.S.)},
  FJOURNAL = {Selecta Mathematica. New Series},
    VOLUME = {27},
      YEAR = {2021},
    NUMBER = {5},
     PAGES = {Paper No. 91, 31},
   MRCLASS = {52B20 (05A15 14M25 52A39 52B05)},
  MRNUMBER = {4314249},
MRREVIEWER = {G\'{a}bor\ Hetyei},
       DOI = {10.1007/s00029-021-00687-6},
       URL = {https://doi.org/10.1007/s00029-021-00687-6},
}

@Article{EKM,
 Author = {Elia, Sophia and Kim, Donghyun and Supina, Mariel},
 Title = {Techniques in equivariant {Ehrhart} theory},
 FJournal = {Annals of Combinatorics},
 Journal = {Ann. Comb.},
 Volume = {28},
 Number = {3},
 Pages = {819--870},
 Year = {2024},
 Language = {English},
 DOI = {10.1007/s00026-023-00673-z},
 Keywords = {52Bxx,05Exx,05Axx}
}


@Article{CHK,
 Author = {Clarke, Oliver and Higashitani, Akihiro and K{\"o}lbl, Max},
 Title = {The equivariant {Ehrhart} theory of polytopes with order-two symmetries},
 FJournal = {Proceedings of the American Mathematical Society},
 Journal = {Proc. Am. Math. Soc.},
 Volume = {151},
 Number = {9},
 Pages = {4027--4041},
 Year = {2023},
 Language = {English},
 DOI = {10.1090/proc/16473},
 Keywords = {52B20,52B05,20C10,14L30,14M25}
}


@article {savage-schuster,
    AUTHOR = {Savage, Carla D. and Schuster, Michael J.},
     TITLE = {Ehrhart series of lecture hall polytopes and {E}ulerian
              polynomials for inversion sequences},
   JOURNAL = {J. Combin. Theory Ser. A},
  FJOURNAL = {Journal of Combinatorial Theory. Series A},
    VOLUME = {119},
      YEAR = {2012},
    NUMBER = {4},
     PAGES = {850--870},
   MRCLASS = {05A17 (05A19 52B11)},
  MRNUMBER = {2881231},
MRREVIEWER = {Ae\ Ja\ Yee},
       DOI = {10.1016/j.jcta.2011.12.005},
       URL = {https://doi.org/10.1016/j.jcta.2011.12.005},
}

@article {backelin-froberg,
    AUTHOR = {Backelin, J\"{o}rgen and Fr\"{o}berg, Ralf},
     TITLE = {Koszul algebras, {V}eronese subrings and rings with linear
              resolutions},
   JOURNAL = {Rev. Roumaine Math. Pures Appl.},
  FJOURNAL = {Acad\'{e}mie de la R\'{e}publique Populaire Roumaine. Revue
              Roumaine de Math\'{e}matiques Pures et Appliqu\'{e}es},
    VOLUME = {30},
      YEAR = {1985},
    NUMBER = {2},
     PAGES = {85--97},
   MRCLASS = {16A03},
  MRNUMBER = {789425},
MRREVIEWER = {Freddy\ M. J. Van Oystaeyen},
}

@Article{ohsugi-tsuchiya-2021,
    AUTHOR = {Ohsugi, Hidefumi and Tsuchiya, Akiyoshi},
     TITLE = {The {$h^*$}-polynomials of locally anti-blocking lattice
              polytopes and their {$\gamma$}-positivity},
   JOURNAL = {Discrete Comput. Geom.},
  FJOURNAL = {Discrete \& Computational Geometry. An International Journal
              of Mathematics and Computer Science},
    VOLUME = {66},
      YEAR = {2021},
    NUMBER = {2},
     PAGES = {701--722},
   MRCLASS = {52B20 (05C31)},
  MRNUMBER = {4292760},
MRREVIEWER = {Ruriko\ Yoshida},
       DOI = {10.1007/s00454-020-00236-6},
       URL = {https://doi.org/10.1007/s00454-020-00236-6},
}

@Article{ardila-beck-hosten-pfeifle-seashore,
    AUTHOR = {Ardila, Federico and Beck, Matthias and Ho{\c s}ten, Serkan and
              Pfeifle, Julian and Seashore, Kim},
     TITLE = {Root polytopes and growth series of root lattices},
   JOURNAL = {SIAM J. Discrete Math.},
  FJOURNAL = {SIAM Journal on Discrete Mathematics},
    VOLUME = {25},
      YEAR = {2011},
    NUMBER = {1},
     PAGES = {360--378},
   MRCLASS = {52C07 (05A15 05A16 06A07 11H06)},
  MRNUMBER = {2801233},
MRREVIEWER = {Anton\ Vladimirovich\ Shutov},
       DOI = {10.1137/090749293},
       URL = {https://doi.org/10.1137/090749293},
}

@Article{higashitani-kummer-michalek,
    AUTHOR = {Higashitani, Akihiro and Kummer, Mario and Micha{\l}ek,
              Mateusz},
     TITLE = {Interlacing {E}hrhart polynomials of reflexive polytopes},
   JOURNAL = {Selecta Math. (N.S.)},
  FJOURNAL = {Selecta Mathematica. New Series},
    VOLUME = {23},
      YEAR = {2017},
    NUMBER = {4},
     PAGES = {2977--2998},
   MRCLASS = {52B20 (05C31 12D10 26C10 30C15 33C45 65H04)},
  MRNUMBER = {3703472},
MRREVIEWER = {Robert\ Davis},
       DOI = {10.1007/s00029-017-0350-6},
       URL = {https://doi.org/10.1007/s00029-017-0350-6},
}

@Article{higashitani-yamada, 
    author = {{Higashitani}, Akihiro and {Yamada}, Yumi},
        title = "{The distribution of roots of Ehrhart polynomials for the dual of root polytopes}",
      journal = {arXiv e-prints},
          eid = {arXiv:2105.11677},
        pages = {arXiv:2105.11677},
          archivePrefix = {arXiv},
       eprint = {2105.11677},
 primaryClass = {math.CO},
    adsnote = {To appear in Graphs and Combinatorics},
    year = {2023}
}

@Article{ohsugi-tsuchiya-2020-2,
    AUTHOR = {Ohsugi, Hidefumi and Tsuchiya, Akiyoshi},
     TITLE = {Reflexive polytopes arising from bipartite graphs with
              {$\gamma$}-positivity associated to interior polynomials},
   JOURNAL = {Selecta Math. (N.S.)},
  FJOURNAL = {Selecta Mathematica. New Series},
    VOLUME = {26},
      YEAR = {2020},
    NUMBER = {4},
     PAGES = {Paper No. 59, 22},
   MRCLASS = {52B20 (05A15 05C31 13P10 52B12)},
  MRNUMBER = {4135714},
MRREVIEWER = {Matthias\ Schymura},
       DOI = {10.1007/s00029-020-00588-0},
       URL = {https://doi.org/10.1007/s00029-020-00588-0},
}

@Article{ohsugi-tsuchiya-2020-1,
    AUTHOR = {Ohsugi, Hidefumi and Tsuchiya, Akiyoshi},
     TITLE = {Enriched chain polytopes},
   JOURNAL = {Israel J. Math.},
  FJOURNAL = {Israel Journal of Mathematics},
    VOLUME = {237},
      YEAR = {2020},
    NUMBER = {1},
     PAGES = {485--500},
   MRCLASS = {52B20 (05E45 06A07 13F55 13P10)},
  MRNUMBER = {4111879},
MRREVIEWER = {Mizan\ R.\ Khan},
       DOI = {10.1007/s11856-020-2012-1},
       URL = {https://doi.org/10.1007/s11856-020-2012-1},
}

@article {SW20,
 Author = {Shareshian, John and Wachs, Michelle L.},
 Title = {Gamma-positivity of variations of {Eulerian} polynomials},
 FJournal = {Journal of Combinatorics},
 Journal = {J. Comb.},
 Volume = {11},
 Number = {1},
 Pages = {1--33},
 Year = {2020},
 Language = {English},
 DOI = {10.4310/JOC.2020.v11.n1.a1},
 Keywords = {11B68,05E05,11B65,52B20},
 zbMATH = {7130925},
 Zbl = {1435.11048}
}

@article {stapledon11,
    AUTHOR = {Stapledon, Alan},
     TITLE = {Equivariant {E}hrhart theory},
   JOURNAL = {Adv. Math.},
  FJOURNAL = {Advances in Mathematics},
    VOLUME = {226},
      YEAR = {2011},
    NUMBER = {4},
     PAGES = {3622--3654},
   MRCLASS = {52B20 (05A15 20C15)},
  MRNUMBER = {2764900},
MRREVIEWER = {Matthias\ Beck},
       DOI = {10.1016/j.aim.2010.10.019},
       URL = {https://doi.org/10.1016/j.aim.2010.10.019},
}

@misc{dali-delucchi, 
      title={Equivariant Hilbert and Ehrhart series under translative group actions}, 
      author={Alessio D'Al{\`i} and Emanuele Delucchi},
      year={2024},
      eprint={2312.14088},
      archivePrefix={arXiv},
      primaryClass={math.CO}, 
}