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  FJOURNAL = {Transactions of the American Mathematical Society},
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    NUMBER = {8},
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      ISSN = {0002-9947},
     CODEN = {TAMTAM},
   MRCLASS = {20C30 (05E10 13A50 20F55)},
  MRNUMBER = {2135735 (2006e:20019)},
MRREVIEWER = {Ira Gessel},
       DOI = {10.1090/S0002-9947-04-03494-4},
       URL = {http://dx.doi.org/10.1090/S0002-9947-04-03494-4},
}

@article {adinbrentiroichman,
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     TITLE = {Descent numbers and major indices for the hyperoctahedral
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}

@article {Alexandersson,
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@article{AnandDumirGupta,
author = "Anand, Harsh and Dumir, Vishwa Chander and Gupta, Hansraj",
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number = "4",
pages = "757--769",
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year = "1966"
}

@incollection {andrewspa1,
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     TITLE = {Mac{M}ahon's partition analysis. {I}. {T}he lecture hall
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 BOOKTITLE = {Mathematical essays in honor of {G}ian-{C}arlo {R}ota
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    SERIES = {Progr. Math.},
    VOLUME = {161},
     PAGES = {1--22},
 PUBLISHER = {Birkh\"auser Boston},
   ADDRESS = {Boston, MA},
      YEAR = {1998},
   MRCLASS = {05A17 (11P81 11P82)},
MRREVIEWER = {Dennis A. Eichhorn},
}

@article {andrewspauleriesePA3,
    AUTHOR = {Andrews, George E. and Paule, Peter and Riese, Axel},
     TITLE = {Mac{M}ahon's partition analysis: the {O}mega package},
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  FJOURNAL = {European Journal of Combinatorics},
    VOLUME = {22},
      YEAR = {2001},
    NUMBER = {7},
     PAGES = {887--904},
      ISSN = {0195-6698},
   MRCLASS = {11P81 (05A15 05A17 33F10 68W30)},
  MRNUMBER = {1857252 (2002h:11100)},
MRREVIEWER = {David M. Bressoud},
       DOI = {10.1006/eujc.2001.0527},
       URL = {http://dx.doi.org/10.1006/eujc.2001.0527},
}

@article {andrewspa4,
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      NOTE = {The Andrews Festschrift (Maratea, 1998)},
   JOURNAL = {S\'em. Lothar. Combin.},
  FJOURNAL = {S\'eminaire Lotharingien de Combinatoire},
    VOLUME = {42},
      YEAR = {1999},
     PAGES = {Art. B42i, 24 pp. (electronic)},
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   MRCLASS = {05A17 (33C05 33C20)},
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MRREVIEWER = {Axel Riese},
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@incollection {PA7,
    AUTHOR = {Andrews, George E. and Paule, Peter and Riese, Axel},
     TITLE = {Mac{M}ahon's partition analysis. {VII}. {C}onstrained
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 BOOKTITLE = {{$q$}-series with applications to combinatorics, number
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    SERIES = {Contemp. Math.},
    VOLUME = {291},
     PAGES = {11--27},
 PUBLISHER = {Amer. Math. Soc.},
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MRREVIEWER = {Sylvie Corteel},
}

@article {ArmstrongMemoir,
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  FJOURNAL = {Memoirs of the American Mathematical Society},
    VOLUME = {202},
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     PAGES = {x+159},
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   MRCLASS = {05-02 (05A17 05E15 05E18 06A06 20F55)},
  MRNUMBER = {2561274},
       DOI = {10.1090/S0065-9266-09-00565-1},
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@article {AthanasiadisNonnesting,
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       URL = {http://dx.doi.org/10.1515/crll.2005.2005.583.163}
}


@book {AlgorGeom,
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     TITLE = {Algorithmic geometry},
      NOTE = {Translated from the 1995 French original by Herv\'e
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 PUBLISHER = {Cambridge University Press},
   ADDRESS = {Cambridge},
      YEAR = {1998},
     PAGES = {xxii+519},
      ISBN = {0-521-56529-4},
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  MRNUMBER = {MR1631175 (99g:68207)},
MRREVIEWER = {Hans-Dietrich Hecker},
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@article {BabsonKozlovComplexes,
    AUTHOR = {Babson, Eric and Kozlov, Dmitry N.},
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    VOLUME = {152},
      YEAR = {2006},
     PAGES = {285--312},
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     CODEN = {ISJMAP},
   MRCLASS = {05Exx (05Cxx 52B70)},
  MRNUMBER = {MR2214465},
}

@article {BabsonKozlovLovaszConjecture,
    AUTHOR = {Babson, Eric and Kozlov, Dmitry N.},
     TITLE = {Proof of the {L}ov\'asz conjecture},
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  FJOURNAL = {Annals of Mathematics. Second Series},
    VOLUME = {165},
      YEAR = {2007},
    NUMBER = {3},
     PAGES = {965--1007},
      ISSN = {0003-486X},
     CODEN = {ANMAAH},
   MRCLASS = {05C15 (05C25 57M15)},
  MRNUMBER = {MR2335799 (2008i:05059)},
MRREVIEWER = {Jeremy L. Martin},
}

@book {Bain,
    AUTHOR = {Bain, Ken},
     TITLE = {What the best college teachers do},
 PUBLISHER = {Harvard University Press},
      YEAR = {2004},
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@article {bagno,
    AUTHOR = {Bagno, Eli},
     TITLE = {Euler-{M}ahonian parameters on colored permutation groups},
   JOURNAL = {S\'em. Lothar. Combin.},
  FJOURNAL = {S\'eminaire Lotharingien de Combinatoire},
    VOLUME = {51},
      YEAR = {2004/05},
     PAGES = {Art. B51f, 16 pp. (electronic)},
      ISSN = {1286-4889},
   MRCLASS = {05A05},
MRREVIEWER = {Astrid Reifegerste},
}

@article {bagnobiagioli,
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     TITLE = {Colored-descent representations of complex reflection groups
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   JOURNAL = {Israel J. Math.},
  FJOURNAL = {Israel Journal of Mathematics},
    VOLUME = {160},
      YEAR = {2007},
     PAGES = {317--347},
      ISSN = {0021-2172},
     CODEN = {ISJMAP},
   MRCLASS = {20F55 (05E15 20C15)},
MRREVIEWER = {O. V. Shvartsman},
       DOI = {10.1007/s11856-007-0065-z},
       URL = {http://dx.doi.org/10.1007/s11856-007-0065-z},
}

@incollection{BanchoffSalem,
AUTHOR    = {Banchoff, Thomas and Salem, Anita}, 
EDITOR    = {Huber, Mary and Morreale, Sherwyn},
TITLE     = {Bridging the divide: research versus practice in current mathematics teaching and learning},
booktitle = {Disciplinary Styles in the Scholarship of Teaching and Learning: Exploring Common Ground},
PAGES     = {181-196},
PUBLISHER = {American Association for Higher Education},
YEAR      = {2002},
}

@article {BarcucciEtAl,
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              Poneti, Maddalena},
     TITLE = {A distributive lattice structure connecting {D}yck paths,
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   JOURNAL = {Order},
  FJOURNAL = {Order. A Journal on the Theory of Ordered Sets and its
              Applications},
    VOLUME = {22},
      YEAR = {2005},
    NUMBER = {4},
     PAGES = {311--328 (2006)},
      ISSN = {0167-8094},
     CODEN = {ORDRE5},
   MRCLASS = {05A18 (05A05 06A07 06D05)},
  MRNUMBER = {2220342 (2006m:05016)},
MRREVIEWER = {Mikl{\'o}s B{\'o}na},
       DOI = {10.1007/s11083-005-9021-x},
       URL = {http://dx.doi.org/10.1007/s11083-005-9021-x},
}


@article {BatyrevDualPolyhedra,
    AUTHOR = {Batyrev, Victor V.},
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   MRCLASS = {14J32 (14M25)},
  MRNUMBER = {MR1269718 (95c:14046)},
MRREVIEWER = {I. Dolgachev},
}

@incollection {BatyrevPyramids,
    AUTHOR = {Batyrev, Victor V.},
     TITLE = {Lattice polytopes with a given {$h\sp *$}-polynomial},
 BOOKTITLE = {Algebraic and geometric combinatorics},
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    VOLUME = {423},
     PAGES = {1--10},
 PUBLISHER = {Amer. Math. Soc.},
   ADDRESS = {Providence, RI},
      YEAR = {2006},
   MRCLASS = {13F55 (13H10 14M25 52B20)},
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MRREVIEWER = {Ivan Soprunov},
}

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       DOI = {10.1515/crll.2002.012},
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              Journal]},
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       URL = {http://dx.doi.org/10.1515/crll.1998.083},
}


@incollection {BDDPS,
    AUTHOR = {Beck, M. and De Loera, J. A. and Develin, M. and Pfeifle, J.
              and Stanley, R. P.},
     TITLE = {Coefficients and roots of {E}hrhart polynomials},
 BOOKTITLE = {Integer points in polyhedra---geometry, number theory,
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    SERIES = {Contemp. Math.},
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 PUBLISHER = {Amer. Math. Soc.},
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}

@article {beckgesselleesavage,
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      YEAR = {2010},
     PAGES = {355--369},
}

@article {BeckHosten,
AUTHOR = {Beck, Matthias and Ho\c{s}ten, Serkan},
TITLE = {Cyclotomic polytopes and growth series of cyclotomic lattices},
JOURNAL={Math. Res. Let.},
FJOURNAL = {Mathematical Research Letters},
VOLUME = {13},
YEAR = {2006},
NUMBER={4},
PAGES={607-622}
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@article{beckpixton,
year={2003},
issn={0179-5376},
journal={Discrete \& Computational Geometry},
volume={30},
number={4},
doi={10.1007/s00454-003-2850-8},
title={The {E}hrhart Polynomial of the {B}irkhoff Polytope},
url={http://dx.doi.org/10.1007/s00454-003-2850-8},
publisher={Springer-Verlag},
author={Beck, Matthias and Pixton, Dennis},
pages={623-637},
language={English}
}

@article{BJM13,
title = "Lattice-point generating functions for free sums of convex sets ",
journal = "Journal of Combinatorial Theory, Series A ",
volume = "120",
number = "6",
pages = "1246 - 1262",
year = "2013",
note = "",
issn = "0097-3165",
doi = "http://dx.doi.org/10.1016/j.jcta.2013.03.007",
url = "http://www.sciencedirect.com/science/article/pii/S0097316513000599",
author = "Matthias Beck and Pallavi Jayawant and Tyrrell B. McAllister"
}

@book {BeckRobinsCCD,
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 PUBLISHER = {Springer},
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      ISBN = {978-0-387-29139-0; 0-387-29139-3},
   MRCLASS = {11P21 (05-02 05A15 11-02 11H06 52B05 52B20)},
  MRNUMBER = {MR2271992 (2007h:11119)},
MRREVIEWER = {Jes{\'u}s A. de Loera},
}

@article {BeckZasIOP,
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    NUMBER = {1},
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   MRCLASS = {52B20 (05A17 05B35 52C35)},
  MRNUMBER = {MR2254310 (2007e:52017)},
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}


@article {BeckZasFlows,
    AUTHOR = {Beck, Matthias and Zaslavsky, Thomas},
     TITLE = {The number of nowhere-zero flows on graphs and signed graphs},
   JOURNAL = {J. Combin. Theory Ser. B},
  FJOURNAL = {Journal of Combinatorial Theory. Series B},
    VOLUME = {96},
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    NUMBER = {6},
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     CODEN = {JCBTB8},
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  MRNUMBER = {MR2274083 (2007k:05084)},
MRREVIEWER = {Yaokun Wu},
}

@article {BeckmannNotices,
author = {Beckmann, Sybilla},
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journal = {Notices of the Amer. Math. Soc.},
Volume = {58},
number = {3},
year = {March 2011},
pages = {368-371},
}

@article {BeyHenkWills,
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    VOLUME = {38},
      YEAR = {2007},
    NUMBER = {1},
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  MRNUMBER = {MR2322117},
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@article {biagioli,
    AUTHOR = {Biagioli, Riccardo},
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   JOURNAL = {Adv. in Appl. Math.},
  FJOURNAL = {Advances in Applied Mathematics},
    VOLUME = {31},
      YEAR = {2003},
    NUMBER = {1},
     PAGES = {163--179},
      ISSN = {0196-8858},
   MRCLASS = {05A15 (05A19)},
  MRNUMBER = {1985826 (2004c:05007)},
MRREVIEWER = {Kendra Killpatrick},
       DOI = {10.1016/S0196-8858(02)00561-4},
       URL = {http://0-dx.doi.org.opac.sfsu.edu/10.1016/S0196-8858(02)00561-4},
}

@article {biagiolizeng,
    AUTHOR = {Biagioli, Riccardo and Zeng, Jiang},
     TITLE = {On some analogues of descent numbers and major index for the hyperoctahedral group},
   JOURNAL = {S\'eminaire Lotharingen de Combinatoire},
    VOLUME = {61A},
      YEAR = {2010},
     PAGES = {B61Ak},
}

@article {biagiolizengwreath,
    AUTHOR = {Biagioli, Riccardo and Zeng, Jiang},
     TITLE = {Enumerating wreath products via {G}arsia-{G}essel bijections},
   JOURNAL = {European J. Combin.},
  FJOURNAL = {European Journal of Combinatorics},
    VOLUME = {32},
      YEAR = {2011},
    NUMBER = {4},
     PAGES = {538--553},
      ISSN = {0195-6698},
   MRCLASS = {05A19},
       DOI = {10.1016/j.ejc.2010.12.004},
       URL = {http://dx.doi.org/10.1016/j.ejc.2010.12.004},
}



@book {BiggsAGT,
    AUTHOR = {Biggs, Norman},
     TITLE = {Algebraic graph theory},
    SERIES = {Cambridge Mathematical Library},
   EDITION = {Second},
 PUBLISHER = {Cambridge University Press},
   ADDRESS = {Cambridge},
      YEAR = {1993},
     PAGES = {viii+205},
      ISBN = {0-521-45897-8},
   MRCLASS = {05C50},
  MRNUMBER = {MR1271140 (95h:05105)},
MRREVIEWER = {Robin J. Wilson},
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@article {Birk,
    AUTHOR = {Birkhoff, George D.},
     TITLE = {A determinant formula for the number of ways of coloring a
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   JOURNAL = {Ann. of Math. (2)},
  FJOURNAL = {Annals of Mathematics. Second Series},
    VOLUME = {14},
      YEAR = {1912/13},
    NUMBER = {1-4},
     PAGES = {42--46},
      ISSN = {0003-486X},
     CODEN = {ANMAAH},
   MRCLASS = {Contributed Item},
  MRNUMBER = {MR1502436},
}





@incollection {BjornerSurvey,
    AUTHOR = {Bj{\"o}rner, A.},
     TITLE = {Topological methods},
 BOOKTITLE = {Handbook of combinatorics, Vol.\ 1,\ 2},
     PAGES = {1819--1872},
 PUBLISHER = {Elsevier},
   ADDRESS = {Amsterdam},
      YEAR = {1995},
   MRCLASS = {52B05 (05B35 05E25 52B40)},
  MRNUMBER = {MR1373690 (96m:52012)},
MRREVIEWER = {Andrew Vince},
}

@article{BjornerDeLongueville,
 author = {Anders Bj\"{o}rner and Mark de Longueville},
 title = {Neighborhood Complexes of Stable {K}neser Graphs},
 journal = {Combinatorica},
 volume = {23},
 number = {1},
 year = {2003},
 issn = {0209-9683},
 pages = {23--34},
 doi = {http://dx.doi.org/10.1007/s00493-003-0012-5},
 publisher = {Springer-Verlag New York, Inc.},
 address = {Secaucus, NJ, USA},
 }

@article {BjornerVorwerk,
    AUTHOR = {Bj{\"o}rner, Anders and Vorwerk, Kathrin},
     TITLE = {Connectivity of chamber graphs of buildings and related
              complexes},
   JOURNAL = {European J. Combin.},
  FJOURNAL = {European Journal of Combinatorics},
    VOLUME = {31},
      YEAR = {2010},
    NUMBER = {8},
     PAGES = {2149--2160},
      ISSN = {0195-6698},
   MRCLASS = {05C40 (05E45 20E42 51E05)},
  MRNUMBER = {2718289 (2012d:05205)},
MRREVIEWER = {Alina A. Vdovina},
       DOI = {10.1016/j.ejc.2010.06.005},
       URL = {http://dx.doi.org/10.1016/j.ejc.2010.06.005},
}

@article {BjornerWachsI,
    AUTHOR = {Bj{\"o}rner, Anders and Wachs, Michelle L.},
     TITLE = {Shellable nonpure complexes and posets. {I}},
   JOURNAL = {Trans. Amer. Math. Soc.},
  FJOURNAL = {Transactions of the American Mathematical Society},
    VOLUME = {348},
      YEAR = {1996},
    NUMBER = {4},
     PAGES = {1299--1327},
      ISSN = {0002-9947},
     CODEN = {TAMTAM},
   MRCLASS = {06A08 (05E99 52B99)},
  MRNUMBER = {1333388 (96i:06008)},
MRREVIEWER = {T. S. Blyth},
       DOI = {10.1090/S0002-9947-96-01534-6},
       URL = {http://dx.doi.org/10.1090/S0002-9947-96-01534-6},
}

@article {BjornerWachsII,
    AUTHOR = {Bj{\"o}rner, Anders and Wachs, Michelle L.},
     TITLE = {Shellable nonpure complexes and posets. {II}},
   JOURNAL = {Trans. Amer. Math. Soc.},
  FJOURNAL = {Transactions of the American Mathematical Society},
    VOLUME = {349},
      YEAR = {1997},
    NUMBER = {10},
     PAGES = {3945--3975},
      ISSN = {0002-9947},
     CODEN = {TAMTAM},
   MRCLASS = {06A08 (05E99)},
  MRNUMBER = {1401765 (98b:06008)},
MRREVIEWER = {Volkmar Welker},
       DOI = {10.1090/S0002-9947-97-01838-2},
       URL = {http://dx.doi.org/10.1090/S0002-9947-97-01838-2},
}

@book {Bok,
    AUTHOR = {Bok, Derek},
     TITLE = {Our Underachieving Colleges: A Candid Look at How Much Students Learn and Why They Should Be Learning More},
 PUBLISHER = {Princeton University Press},
      YEAR = {2006},
}

@article {Bouc,
    AUTHOR = {Bouc, S.},
     TITLE = {Homologie de certains ensembles de {$2$}-sous-groupes des
              groupes sym\'etriques},
   JOURNAL = {J. Algebra},
  FJOURNAL = {Journal of Algebra},
    VOLUME = {150},
      YEAR = {1992},
    NUMBER = {1},
     PAGES = {158--186},
      ISSN = {0021-8693},
     CODEN = {JALGA4},
   MRCLASS = {57M07 (18G99 20B30)},
  MRNUMBER = {MR1174893 (94d:57004)},
}

@article {BME1,
    AUTHOR = {Bousquet-M{\'e}lou, Mireille and Eriksson, Kimmo},
     TITLE = {Lecture hall partitions},
   JOURNAL = {Ramanujan J.},
  FJOURNAL = {The Ramanujan Journal. An International Journal Devoted to the
              Areas of Mathematics Influenced by Ramanujan},
    VOLUME = {1},
      YEAR = {1997},
    NUMBER = {1},
     PAGES = {101--111},
      ISSN = {1382-4090},
     CODEN = {RAJOF9},
   MRCLASS = {05A17 (05A15 05A30 11P81 20F55)},
  MRNUMBER = {MR1607531 (99c:05015)},
MRREVIEWER = {Christian Krattenthaler},
       DOI = {10.1023/A:1009771306380},
       URL = {http://dx.doi.org/10.1023/A:1009771306380},
}

@article {BrandenUnimodal,
author = {Br{\"a}nd{\'e}n, Petter},
title = {Unimodality, log-concavity, real-rootedness and beyond},
note = {http://arxiv.org/abs/1410.6601},
year = {2014}
}

@article {BraunAutStableKneser,
title = "Symmetries of the stable {K}neser graphs",
journal = "Advances in Applied Mathematics",
volume = "45",
number = "1",
pages = "12 - 14",
year = "2010",
note = "",
issn = "0196-8858",
doi = "DOI: 10.1016/j.aam.2009.11.009",
url = "http://www.sciencedirect.com/science/article/B6W9D-4XVB6PF-3/2/08c3d7f1ce0a541c8ca13d25b37eb7db",
author = "Benjamin Braun",
keywords = "Stable Kneser graphs",
keywords = "Automorphism group"
}

@article{BraunBrowderKlee,
year={2012},
issn={0021-2172},
journal={Israel Journal of Mathematics},
doi={10.1007/s11856-012-0149-2},
title={Cellular resolutions of ideals defined by nondegenerate simplicial homomorphisms},
url={http://dx.doi.org/10.1007/s11856-012-0149-2},
publisher={The Hebrew University Magnes Press},
author={Braun, Benjamin and Browder, Jonathan and Klee, Steven},
pages={1-24},
language={English}
}

@Article{BraunDavis16,
author="Braun, Benjamin
and Davis, Robert",
title="Ehrhart Series, Unimodality, and Integrally Closed Reflexive Polytopes",
journal="Annals of Combinatorics",
year="2016",
volume="20",
number="4",
pages="705--717",
abstract="An interesting open problem in Ehrhart theory is to classify those lattice polytopes having a unimodal h*-vector. Although various sufficient conditions have been found, necessary conditions remain a challenge. In this paper, we consider integrally closed reflexive simplices and discuss an operation that preserves reflexivity, integral closure, and unimodality of the h*-vector, providing one explanation for why unimodality occurs in this setting. We also discuss the failure of proving unimodality in this setting using weak Lefschetz elements.",
issn="0219-3094",
doi="10.1007/s00026-016-0337-6",
url="http://dx.doi.org/10.1007/s00026-016-0337-6"
}



@article {BraunEhrenborg,
title = "The complex of non-crossing diagonals of a polygon",
journal = "Journal of Combinatorial Theory, Series A",
volume = "117",
number = "6",
pages = "642 - 649",
year = "2010",
note = "",
issn = "0097-3165",
doi = "DOI: 10.1016/j.jcta.2010.03.003",
url = "http://www.sciencedirect.com/science/article/B6WHS-4YPGHV1-1/2/452326619ebc6fd41b602fdbe6000dd7",
author = "Benjamin Braun and Richard Ehrenborg",
keywords = "Non-convex polygon",
keywords = "Associahedra",
keywords = "Simplicial complex",
keywords = "Discrete Morse theory"
}



@article {BraunRoots,
    AUTHOR = {Braun, Benjamin},
     TITLE = {Norm bounds for {E}hrhart polynomial roots},
   JOURNAL = {Discrete Comput. Geom.},
  FJOURNAL = {Discrete \& Computational Geometry. An International Journal
              of Mathematics and Computer Science},
    VOLUME = {39},
      YEAR = {2008},
    NUMBER = {1-3},
     PAGES = {191--193},
      ISSN = {0179-5376},
     CODEN = {DCGEER},
   MRCLASS = {52B20},
  MRNUMBER = {MR2383758},
}


@article {BraunEhrhartFormulaReflexivePolytopes,
    AUTHOR = {Braun, Benjamin},
     TITLE = {An {E}hrhart Series Formula for Reflexive Polytopes},
   JOURNAL = {Electron. J. Combin.},
  FJOURNAL = {Electronic Journal of Combinatorics},
    VOLUME = {13},
      YEAR = {2006},
    NUMBER = {1},
     PAGES = {Note 15, 5 pp. (electronic)},
}

@incollection {BraunDevelin,
    AUTHOR = {Braun, Benjamin and Develin, Mike},
     TITLE = {Ehrhart polynomial roots and {S}tanley's non-negativity
              theorem},
 BOOKTITLE = {Integer points in polyhedra---geometry, number theory,
              representation theory, algebra, optimization, statistics},
    SERIES = {Contemp. Math.},
    VOLUME = {452},
     PAGES = {67--78},
 PUBLISHER = {Amer. Math. Soc.},
   ADDRESS = {Providence, RI},
      YEAR = {2008},
   MRCLASS = {52C07 (05C15 26C10)},
  MRNUMBER = {MR2405764 (2009f:52040)},
}

@article {BraunIndComplexKneser,
    AUTHOR = {Braun, Benjamin},
     TITLE = {Independence Complexes of Stable {K}neser Graphs},
   JOURNAL = {Electron. J. Combin.},
  FJOURNAL = {Electronic Journal of Combinatorics},
    VOLUME = {18},
      YEAR = {2011},
    NUMBER = {1},
     PAGES = {P118, (electronic)},
}

@article {BraunBeckNHColorings,
    AUTHOR = {Beck, Matthias and Braun, Benjamin},
     TITLE = {Nowhere-harmonic colorings of graphs},
   JOURNAL = {Proc. Amer. Math. Soc.},
  FJOURNAL = {Proceedings of the American Mathematical Society},
    VOLUME = {140},
      YEAR = {2012},
    NUMBER = {1},
     PAGES = {47--63},
      ISSN = {0002-9939},
     CODEN = {PAMYAR},
   MRCLASS = {05C15 (05A15 05C30 52B20 52C35)},
  MRNUMBER = {2833516 (2012i:05090)},
MRREVIEWER = {David G. Wagner},
       DOI = {10.1090/S0002-9939-2011-10879-7},
       URL = {http://dx.doi.org/10.1090/S0002-9939-2011-10879-7},
}

@article {BraunZeckner,
AUTHOR = {Braun, Benjamin and Zeckner, Matthew},
TITLE = {Deformation retracts of neighborhood complexes of stable {K}neser graphs},
NOTE = {to appear in \emph{{P}roc. of {A}mer. {M}ath. {S}oc.}},
}

@article {Braun2011group,
Author = {Braun, Benjamin and Davis, Robert and Doering, Jessica and Harrison, Ashley and Noll, Jenna and Taylor, Clifford},
Title = {Partitions and compositions constrained by graph Laplacian minors},
journal = {INTEGERS},
volume = {13},
pages={A41 (electronic)},
}

@article {BraunDiscreteContinuous,
AUTHOR = {Braun, Benjamin},
TITLE = {Making the discrete continuous: how combinatorics becomes topology},
JOURNAL = {Unpublished},
NOTE = {Preprint at http://math.wustl.edu/$\sim$bjbraun},
}

@incollection {BeckBraunLe,
    AUTHOR = {Beck, Matthias and Braun, Benjamin and Le, Nguyen},
     TITLE = {Mahonian partition identities via polyhedral geometry},
 BOOKTITLE = {From {F}ourier analysis and number theory to radon transforms
              and geometry},
    SERIES = {Dev. Math.},
    VOLUME = {28},
     PAGES = {41--54},
 PUBLISHER = {Springer},
   ADDRESS = {New York},
      YEAR = {2013},
   MRCLASS = {11P81 (05A15 05A17 52C07)},
  MRNUMBER = {2986952},
       DOI = {10.1007/978-1-4614-4075-8_3},
       URL = {http://dx.doi.org/10.1007/978-1-4614-4075-8_3},
}

@article{BeckBraunEulerMahonian,
title = "Euler-{M}ahonian statistics via polyhedral geometry ",
journal = "Advances in Mathematics ",
volume = "244",
number = "0",
pages = "925 - 954",
year = "2013",
note = "",
issn = "0001-8708",
doi = "http://dx.doi.org/10.1016/j.aim.2013.06.002",
url = "http://www.sciencedirect.com/science/article/pii/S0001870813002065",
author = "Matthias Beck and Benjamin Braun",
}

@article{gtheoremBL1980,
author = "Billera, Louis J. and Lee, Carl W.",
fjournal = "Bulletin (New Series) of the American Mathematical Society",
journal = "Bull. Amer. Math. Soc. (N.S.)",
month = "01",
number = "1",
pages = "181--185",
publisher = "American Mathematical Society",
title = "Sufficiency of {M}c{M}ullen's conditions for $f$-vectors of simplicial polytopes",
url = "http://projecteuclid.org/euclid.bams/1183545209",
volume = "2",
year = "1980"
}

@article{gtheoremBL1981,
title = "A proof of the sufficiency of {M}c{M}ullen's conditions for $f$-vectors of simplicial convex polytopes ",
journal = "Journal of Combinatorial Theory, Series A ",
volume = "31",
number = "3",
pages = "237 - 255",
year = "1981",
note = "",
issn = "0097-3165",
doi = "http://dx.doi.org/10.1016/0097-3165(81)90058-3",
url = "http://www.sciencedirect.com/science/article/pii/0097316581900583",
author = "Louis J Billera and Carl W Lee"
}

@article {sLectHallGorenstein,
  title={$s$-Lecture Hall Partitions, Self-Reciprocal Polynomials, and Gorenstein Cones},
  author={Beck, Matthias and Braun, Benjamin and  Koeppe, Matthias and  Savage, Carla and  Zafeirakopoulos, Zafeirakis},
  journal={submitted},
}

@article{BraunLatticePoint,
year={2012},
issn={0925-9899},
journal={Journal of Algebraic Combinatorics},
doi={10.1007/s10801-012-0414-9},
title={Lattice point generating functions and symmetric cones},
url={http://dx.doi.org/10.1007/s10801-012-0414-9},
publisher={Springer US},
keywords={Lattice point generating function; Polyhedral cone; Finite reflection group; Coxeter group; Symmetrically constrained composition; Permutation statistics; Lecture hall partition},
author={Beck, Matthias and Bliem, Thomas and Braun, Benjamin and Savage, CarlaD.},
pages={1-24},
language={English}
}

@article {BraunRundell,
author = {Braun, Benjamin and Rundell, Sarah},
title = {Hyperoctahedral Eulerian Idempotents, Hodge Decompositions, and Signed Graph Coloring Complexes},
note = {manuscript in preparation},
}

@article {BraunNotices2013,
author = {Braun, Benjamin},
title = {Persistent Learning, Critical Teaching: Intelligence Beliefs and Active Learning in Mathematics Courses},
note = {to appear in \emph{Notices of the AMS}},
}

@article {BraunWriting,
author = {Braun, Benjamin},
title = {Personal, Expository, Critical, and Creative: Using Writing in Mathematics Courses},
note = {submitted},
}

@article {brentieulerian,
    AUTHOR = {Brenti, Francesco},
     TITLE = {{$q$}-{E}ulerian polynomials arising from {C}oxeter groups},
   JOURNAL = {European J. Combin.},
  FJOURNAL = {European Journal of Combinatorics},
    VOLUME = {15},
      YEAR = {1994},
    NUMBER = {5},
     PAGES = {417--441},
      ISSN = {0195-6698},
   MRCLASS = {05A30 (05E99 20F55 33D80)},
MRREVIEWER = {Hiroshi Naruse},
       DOI = {10.1006/eujc.1994.1046},
       URL = {http://0-dx.doi.org.opac.sfsu.edu/10.1006/eujc.1994.1046},
}


@article {breuersanyal,
AUTHOR = {Breuer, Felix and Sanyal, Raman},
TITLE = {Ehrhart theory, Modular flow reciprocity, and the {T}utte polynomial},
NOTE = {http://arxiv.org/abs/0907.0845, to appear in Math. Z.},
}


@article {BrightSavage,
AUTHOR ={Bright, Katie and Savage, Carla},
TITLE = {The Geometry of Lecture Hall Partitions and Quadratic Permutation Statistics},
NOTE = {to appear in FPSAC proceedings, 2010},
}


@article{Bruns07,
author = {Bruns, Winfried},
title = {On the Integral Carath\'eodory Property},
journal = {Experimental Mathematics},
volume = {16},
number = {3},
pages = {359-365},
year = {2007},
doi = {10.1080/10586458.2007.10129007},
URL = {http://www.tandfonline.com/doi/abs/10.1080/10586458.2007.10129007},
eprint = {http://www.tandfonline.com/doi/pdf/10.1080/10586458.2007.10129007}
}

@article {BrunsGubeladzeTrung,
    AUTHOR = {Bruns, Winfried and Gubeladze, Joseph and Trung, Ng{\^o}
              Vi{\^e}t},
     TITLE = {Problems and algorithms for affine semigroups},
   JOURNAL = {Semigroup Forum},
  FJOURNAL = {Semigroup Forum},
    VOLUME = {64},
      YEAR = {2002},
    NUMBER = {2},
     PAGES = {180--212},
      ISSN = {0037-1912},
     CODEN = {SMGFAN},
   MRCLASS = {20M14 (13P10 20M25 52B20)},
  MRNUMBER = {MR1876854 (2002m:20096)},
MRREVIEWER = {Rafael H. Villarreal},
}

@book {BrunsHerzogCMR,
    AUTHOR = {Bruns, Winfried and Herzog, J{\"u}rgen},
     TITLE = {Cohen-{M}acaulay rings},
    SERIES = {Cambridge Studies in Advanced Mathematics},
    VOLUME = {39},
 PUBLISHER = {Cambridge University Press},
   ADDRESS = {Cambridge},
      YEAR = {1993},
     PAGES = {xii+403},
      ISBN = {0-521-41068-1},
   MRCLASS = {13H10 (13-02)},
  MRNUMBER = {MR1251956 (95h:13020)},
MRREVIEWER = {Matthew Miller},
}

@article {BrunsRomer,
    AUTHOR = {Bruns, Winfried and R{\"o}mer, Tim},
     TITLE = {{$h$}-vectors of {G}orenstein polytopes},
   JOURNAL = {J. Combin. Theory Ser. A},
  FJOURNAL = {Journal of Combinatorial Theory. Series A},
    VOLUME = {114},
      YEAR = {2007},
    NUMBER = {1},
     PAGES = {65--76},
      ISSN = {0097-3165},
     CODEN = {JCBTA7},
   MRCLASS = {05E25 (13F55 52B20)},
  MRNUMBER = {2275581 (2007m:05230)},
MRREVIEWER = {Hugh Ross Thomas},
       DOI = {10.1016/j.jcta.2006.03.003},
       URL = {http://dx.doi.org/10.1016/j.jcta.2006.03.003},
}

@article {BCKV,
    AUTHOR = {Bump, Daniel and Choi, Kwok-Kwong and Kurlberg, P{\"a}r and
              Vaaler, Jeffrey},
     TITLE = {A local {R}iemann hypothesis. {I}},
   JOURNAL = {Math. Z.},
  FJOURNAL = {Mathematische Zeitschrift},
    VOLUME = {233},
      YEAR = {2000},
    NUMBER = {1},
     PAGES = {1--19},
      ISSN = {0025-5874},
     CODEN = {MAZEAX},
   MRCLASS = {11F70 (11F27 11M41 11S40 22E50)},
  MRNUMBER = {MR1738342 (2001g:11073a)},
MRREVIEWER = {Dipendra Prasad},
}

@article {calkin,
    AUTHOR = {Calkin, Neil J.},
     TITLE = {A curious binomial identity},
   JOURNAL = {Discrete Math.},
  FJOURNAL = {Discrete Mathematics},
    VOLUME = {131},
      YEAR = {1994},
    NUMBER = {1-3},
     PAGES = {335--337},
      ISSN = {0012-365X},
     CODEN = {DSMHA4},
   MRCLASS = {05A10 (05A19 60C05)},
  MRNUMBER = {1287743 (95i:05002)},
MRREVIEWER = {Laurent Habsieger},
       DOI = {10.1016/0012-365X(94)90394-8},
       URL = {http://dx.doi.org/10.1016/0012-365X(94)90394-8},
}


@article {CautisJackson,
    AUTHOR = {Cautis, S. and Jackson, D. M.},
     TITLE = {The matrix of chromatic joins and the {T}emperley-{L}ieb
              algebra},
   JOURNAL = {J. Combin. Theory Ser. B},
  FJOURNAL = {Journal of Combinatorial Theory. Series B},
    VOLUME = {89},
      YEAR = {2003},
    NUMBER = {1},
     PAGES = {109--155},
      ISSN = {0095-8956},
     CODEN = {JCBTB8},
   MRCLASS = {05C10 (05C15 05C50)},
  MRNUMBER = {1999738 (2004g:05046)},
MRREVIEWER = {Richard M. Green},
       DOI = {10.1016/S0095-8956(03)00071-6},
       URL = {http://dx.doi.org/10.1016/S0095-8956(03)00071-6},
}


@article {carlitzeulerian,
    AUTHOR = {Carlitz, Leonard},
     TITLE = {A combinatorial property of {$q$}-{E}ulerian numbers},
   JOURNAL = {Amer. Math. Monthly},
  FJOURNAL = {The American Mathematical Monthly},
    VOLUME = {82},
      YEAR = {1975},
     PAGES = {51--54},
      ISSN = {0002-9890},
   MRCLASS = {05A10},
  MRNUMBER = {0366683 (51 \#2930)},
MRREVIEWER = {Dominique Foata},
}

@article {ChanRobbinsYuen,
    AUTHOR = {Chan, Clara S. and Robbins, David P. and Yuen, David S.},
     TITLE = {On the volume of a certain polytope},
   JOURNAL = {Experiment. Math.},
  FJOURNAL = {Experimental Mathematics},
    VOLUME = {9},
      YEAR = {2000},
    NUMBER = {1},
     PAGES = {91--99},
      ISSN = {1058-6458},
   MRCLASS = {52B20 (05A10 52A38 52A40)},
  MRNUMBER = {1758803 (2001d:52022)},
       URL = {http://projecteuclid.org/getRecord?id=euclid.em/1046889594},
}

@article {charneydavis,
    AUTHOR = {Charney, Ruth and Davis, Michael},
     TITLE = {The {E}uler characteristic of a nonpositively curved,
              piecewise {E}uclidean manifold},
   JOURNAL = {Pacific J. Math.},
  FJOURNAL = {Pacific Journal of Mathematics},
    VOLUME = {171},
      YEAR = {1995},
    NUMBER = {1},
     PAGES = {117--137},
      ISSN = {0030-8730},
     CODEN = {PJMAAI},
   MRCLASS = {53C23 (57M50 57Q05)},
  MRNUMBER = {1362980 (96k:53066)},
MRREVIEWER = {Athanase Papadopoulos},
       URL = {http://projecteuclid.org/getRecord?id=euclid.pjm/1102370321},
}


@article {chenwang,
    AUTHOR = {Chen, Beifang and Wang, Jue},
     TITLE = {The flow and tension spaces and lattices of signed graphs},
   JOURNAL = {European J. Combin.},
  FJOURNAL = {European Journal of Combinatorics},
    VOLUME = {30},
      YEAR = {2009},
    NUMBER = {1},
     PAGES = {263--279},
      ISSN = {0195-6698},
   MRCLASS = {05C22},
  MRNUMBER = {MR2460231},
MRREVIEWER = {Matthias Beck},
}

@article {chaiken,
    AUTHOR = {Chaiken, Seth},
     TITLE = {A combinatorial proof of the all minors matrix tree theorem},
   JOURNAL = {SIAM J. Algebraic Discrete Methods},
  FJOURNAL = {Society for Industrial and Applied Mathematics. Journal on
              Algebraic and Discrete Methods},
    VOLUME = {3},
      YEAR = {1982},
    NUMBER = {3},
     PAGES = {319--329},
      ISSN = {0196-5212},
     CODEN = {SJAMDU},
   MRCLASS = {05C50 (05C05)},
  MRNUMBER = {666857 (83h:05062)},
MRREVIEWER = {W.-K. Chen},
       DOI = {10.1137/0603033},
       URL = {http://dx.doi.org/10.1137/0603033},
}

@article {chowgessel,
    AUTHOR = {Chow, Chak-On and Gessel, Ira M.},
     TITLE = {On the descent numbers and major indices for the
              hyperoctahedral group},
   JOURNAL = {Adv. in Appl. Math.},
  FJOURNAL = {Advances in Applied Mathematics},
    VOLUME = {38},
      YEAR = {2007},
    NUMBER = {3},
     PAGES = {275--301},
      ISSN = {0196-8858},
   MRCLASS = {05A15 (20F55)},
MRREVIEWER = {Riccardo Biagioli},
       DOI = {10.1016/j.aam.2006.07.003},
       URL = {http://0-dx.doi.org.opac.sfsu.edu/10.1016/j.aam.2006.07.003},
}

@article {chowmansourcarlitz,
title = "A Carlitz identity for the wreath product ",
journal = "Advances in Applied Mathematics",
volume = "47",
number = "2",
pages = "199 - 215",
year = "2011",
note = "",
issn = "0196-8858",
doi = "DOI: 10.1016/j.aam.2010.06.001",
url = "http://www.sciencedirect.com/science/article/pii/S0196885810000795",
author = "Chak-On Chow and Toufik Mansour",
keywords = "Wreath product",
keywords = "Descent",
keywords = "Flag major index",
keywords = "q-Eulerian polynomial",
keywords = "Carlitz identity"
}

@article {ClarkZeckner,
AUTHOR = {Clark, Eric and Zeckner, Matthew},
TITLE = {Simplicial complexes of triangular {F}errers boards},
NOTE = {in preparation},
}

@book {CompGeom,
    AUTHOR = {de Berg, Mark and van Kreveld, Marc and Overmars, Mark and
              Schwarzkopf, Otfried},
     TITLE = {Computational geometry},
   EDITION = {revised},
      NOTE = {Algorithms and applications},
 PUBLISHER = {Springer-Verlag},
   ADDRESS = {Berlin},
      YEAR = {2000},
     PAGES = {xii+367},
      ISBN = {3-540-65620-0},
   MRCLASS = {68U05 (52B55 70B15)},
  MRNUMBER = {MR1763734 (2001b:68137)},
}

@article {conrads,
    AUTHOR = {Conrads, Heinke},
     TITLE = {Weighted projective spaces and reflexive simplices},
   JOURNAL = {Manuscripta Math.},
  FJOURNAL = {Manuscripta Mathematica},
    VOLUME = {107},
      YEAR = {2002},
    NUMBER = {2},
     PAGES = {215--227},
      ISSN = {0025-2611},
     CODEN = {MSMHB2},
   MRCLASS = {14M25 (52B20)},
  MRNUMBER = {1894741 (2003a:14079)},
MRREVIEWER = {Margherita Barile},
       DOI = {10.1007/s002290100235},
       URL = {http://dx.doi.org/10.1007/s002290100235},
}

@article {CLS2005,
    AUTHOR = {Corteel, Sylvie and Lee, Sunyoung and Savage, Carla D.},
     TITLE = {Enumeration of sequences constrained by the ratio of
              consecutive parts},
   JOURNAL = {S\'em. Lothar. Combin.},
  FJOURNAL = {S\'eminaire Lotharingien de Combinatoire},
    VOLUME = {54A},
      YEAR = {2005/07},
     PAGES = {Art. B54Aa, 12},
      ISSN = {1286-4889},
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@article {CorsoNagel1,
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@article {CorsoNagel2,
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@incollection {corteelleesavage5guidelines,
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     TITLE = {Five guidelines for partition analysis with applications to
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@article {corteelsavagewilf,
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@article{Cruse,
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       URL = {http://www.sciencedirect.com/science/article/pii/0012365X75900126}
}

@article{SemimagicSquares,
year={2009},
issn={0925-9899},
journal={Journal of Algebraic Combinatorics},
volume={30},
number={1},
doi={10.1007/s10801-008-0155-y},
title={A generating function for all semi-magic squares and the volume of the {B}irkhoff polytope},
url={http://dx.doi.org/10.1007/s10801-008-0155-y},
publisher={Springer US},
keywords={Birkhoff polytope; Volume; Lattice points; Generating functions; Ehrhart polynomials},
author={De Loera, J.A. and Liu, F. and Yoshida, R.},
pages={113-139},
language={English}
}

@article{DeLoeraGelfand,
year={2004},
issn={0179-5376},
journal={Discrete \& Computational Geometry},
volume={32},
number={4},
doi={10.1007/s00454-004-1133-3},
title={Vertices of {G}elfand-{T}setlin Polytopes},
url={http://dx.doi.org/10.1007/s00454-004-1133-3},
publisher={Springer-Verlag},
author={De Loera, Jes{\'u}s A. and McAllister, Tyrrell B.},
pages={459-470},
language={English}
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@article {KozlovCukicCycles,
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@book {DeLongWinter,
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@MISC {DeLoeraOmarBurggraf,
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@article {deloerahawskoeppe,
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@MISC {Devadoss,
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@article {DochtermannSchultz,
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}

@article {DochtermannEngstromCellular,
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@article {DochtermannEngstromEdgeIdeals,
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   JOURNAL = {Electron. J. Combin.},
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@article {Ehrhart,
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@misc {EhrenborgPersonal,
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@article {EngstromClawFree,
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@article {eulereulerian,
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@manual{GAP4,
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@misc {Faulhaber,
AUTHOR = {Weisstein, Eric W.},
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@article {garsiacombinatorialmethods,
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@article {garsiastanton,
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       DOI = {10.1016/0001-8708(84)90005-7},
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@incollection {GelfandGraevPostnikov,
    AUTHOR = {Gelfand, Israel M. and Graev, Mark I. and Postnikov,
              Alexander},
     TITLE = {Combinatorics of hypergeometric functions associated with
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 BOOKTITLE = {The {A}rnold-{G}elfand mathematical seminars},
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 PUBLISHER = {Birkh\"auser Boston},
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      YEAR = {1997},
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@article {GethnerThickness,
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   JOURNAL = {J. Graph Theory},
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    VOLUME = {57},
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       DOI = {10.1002/jgt.20282},
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@article {Greenberg,
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@article {griffethcherednik,
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  FJOURNAL = {Proceedings of the Edinburgh Mathematical Society. Series II},
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@article {griffethjackpolynomials,
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  FJOURNAL = {Proceedings of the American Mathematical Society},
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@article {gubeladzeconvexnormality,
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@article {HaaseMelnikov,
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@misc {HaimanAssociahedron,
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@article{HarimaLefschetz,
title = "The Weak and Strong {L}efschetz properties for {A}rtinian K-algebras ",
journal = "Journal of Algebra ",
volume = "262",
number = "1",
pages = "99 - 126",
year = "2003",
note = "",
issn = "0021-8693",
doi = "http://dx.doi.org/10.1016/S0021-8693(03)00038-3",
url = "http://www.sciencedirect.com/science/article/pii/S0021869303000383",
author = "Tadahito Harima and Juan C. Migliore and Uwe Nagel and Junzo Watanabe"
}

@book {Hatcher,
    AUTHOR = {Hatcher, Allen},
     TITLE = {Algebraic topology},
 PUBLISHER = {Cambridge University Press},
   ADDRESS = {Cambridge},
      YEAR = {2002},
     PAGES = {xii+544},
      ISBN = {0-521-79160-X; 0-521-79540-0},
   MRCLASS = {55-01 (55-00)},
  MRNUMBER = {MR1867354 (2002k:55001)},
MRREVIEWER = {Donald W. Kahn},
}

@incollection {HenkRichterZiegler,
    AUTHOR = {Henk, Martin and Richter-Gebert, J{\"u}rgen and Ziegler,
              G{\"u}nter M.},
     TITLE = {Basic properties of convex polytopes},
 BOOKTITLE = {Handbook of discrete and computational geometry},
    SERIES = {CRC Press Ser. Discrete Math. Appl.},
     PAGES = {243--270},
 PUBLISHER = {CRC},
   ADDRESS = {Boca Raton, FL},
      YEAR = {1997},
   MRCLASS = {52B11},
  MRNUMBER = {MR1730169},
}

@article {HenkSchurmanWills,
    AUTHOR = {Henk, Martin and Sch{\"u}rmann, Achill and Wills, J{\"o}rg M.},
     TITLE = {Ehrhart polynomials and successive minima},
   JOURNAL = {Mathematika},
  FJOURNAL = {Mathematika. A Journal of Pure and Applied Mathematics},
    VOLUME = {52},
      YEAR = {2005},
    NUMBER = {1-2},
     PAGES = {1--16 (2006)},
      ISSN = {0025-5793},
     CODEN = {MTKAAB},
   MRCLASS = {52B20 (05A15)},
  MRNUMBER = {MR2261838 (2007h:52013)},
MRREVIEWER = {Andrew Vince},
}

@book {Hibi,
    AUTHOR = {Hibi, Takayuki},
     TITLE = {Algebraic Combinatorics on Convex Polytopes},
 PUBLISHER = {Carslaw Publications},
   ADDRESS = {Australia},
      YEAR = {1992},
      ISBN = {0-875399-04-6},
}

@article {HibiDualPolytopes,
    AUTHOR = {Hibi, Takayuki},
     TITLE = {Dual polytopes of rational convex polytopes},
   JOURNAL = {Combinatorica},
  FJOURNAL = {Combinatorica. An International Journal on Combinatorics and
              the Theory of Computing},
    VOLUME = {12},
      YEAR = {1992},
    NUMBER = {2},
     PAGES = {237--240},
      ISSN = {0209-9683},
     CODEN = {COMBDI},
   MRCLASS = {52B20},
  MRNUMBER = {MR1179260 (93f:52018)},
MRREVIEWER = {P. McMullen},
}

@article {hibiohsugiconj,
    AUTHOR = {Ohsugi, Hidefumi and Hibi, Takayuki},
     TITLE = {Special simplices and {G}orenstein toric rings},
   JOURNAL = {J. Combin. Theory Ser. A},
  FJOURNAL = {Journal of Combinatorial Theory. Series A},
    VOLUME = {113},
      YEAR = {2006},
    NUMBER = {4},
     PAGES = {718--725},
      ISSN = {0097-3165},
     CODEN = {JCBTA7},
   MRCLASS = {13F55 (05C99 13H10)},
  MRNUMBER = {2216465 (2007c:13028)},
MRREVIEWER = {Enrique Reyes},
       DOI = {10.1016/j.jcta.2005.06.002},
       URL = {http://dx.doi.org/10.1016/j.jcta.2005.06.002},
}


@article{OH99,
  author    = {Ohsugi, Hidefumi and Hibi, Takayuki},
  title     = {A Normal (0, 1)-Polytope None of Whose Regular Triangulations
               Is Unimodular},
  journal   = {Discrete {\&} Computational Geometry},
  volume    = {21},
  number    = {2},
  year      = {1999},
  pages     = {201-204},
  ee        = {http://dx.doi.org/10.1007/PL00009415},
  bibsource = {DBLP, http://dblp.uni-trier.de}
}


@article {hibihermite,
    AUTHOR = {Hibi, Takayuki and Higashitani, Akihiro and Li, Nan},
     TITLE = {Hermite normal forms and {$\delta$}-vectors},
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  FJOURNAL = {Journal of Combinatorial Theory. Series A},
    VOLUME = {119},
      YEAR = {2012},
    NUMBER = {6},
     PAGES = {1158--1173},
      ISSN = {0097-3165},
     CODEN = {JCBTA7},
   MRCLASS = {52C05},
  MRNUMBER = {2915638},
MRREVIEWER = {Martin Henk},
       DOI = {10.1016/j.jcta.2012.02.005},
       URL = {http://dx.doi.org/10.1016/j.jcta.2012.02.005},
}

@article {hibireflexive,
    AUTHOR = {Hibi, Takayuki},
     TITLE = {Ehrhart polynomials of convex polytopes, $h$-vectors of 
	      simplicial complexes, and nonsingular projective toric varieties},
   JOURNAL = {Discrete and Computational Geometry: Papers from the {DIMACS} 
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  FJOURNAL = {Discrete and Computational Geometry: Papers from the {DIMACS} 
	       Special Year},
    VOLUME = {6},
      YEAR = {1991},
     PAGES = {165–177}
}
  

@article {higashitanicounterexamples,
    AUTHOR = {Higashitani, Akihiro},
     TITLE = {Counterexamples of the conjecture on roots of {E}hrhart
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   JOURNAL = {Discrete Comput. Geom.},
  FJOURNAL = {Discrete \& Computational Geometry. An International Journal
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    VOLUME = {47},
      YEAR = {2012},
    NUMBER = {3},
     PAGES = {618--623},
      ISSN = {0179-5376},
     CODEN = {DCGEER},
   MRCLASS = {52B20 (05A15 11H06)},
  MRNUMBER = {2891252},
MRREVIEWER = {Kevin Woods},
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       URL = {http://dx.doi.org/10.1007/s00454-011-9390-4},
}

@article {hirzebrucheulerian,
    AUTHOR = {Hirzebruch, Friedrich},
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    VOLUME = {1},
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     PAGES = {9--14},
      ISSN = {1867-5778},
   MRCLASS = {11B68 (14C17)},
MRREVIEWER = {Ching-Hua Chang},
}

@article {Hochster,
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   MRCLASS = {13H10 (20G05)},
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@article {HooryLinial,
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     TITLE = {A counterexample to a conjecture of {B}j\"orner and {L}ov\'asz
              on the {$\chi$}-coloring complex},
   JOURNAL = {J. Combin. Theory Ser. B},
  FJOURNAL = {Journal of Combinatorial Theory. Series B},
    VOLUME = {95},
      YEAR = {2005},
    NUMBER = {2},
     PAGES = {346--349},
      ISSN = {0095-8956},
     CODEN = {JCBTB8},
   MRCLASS = {05C15},
  MRNUMBER = {MR2171372 (2006g:05073)},
MRREVIEWER = {K. S. Sarkaria},
}

@article {huangheckeactionstanley,
author ={Huang, Jia},
title ={0-{H}ecke Algebra Action on the {S}tanley-{R}eisner Ring of the {B}oolean Algebra},
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}

@article {hyatt,
    AUTHOR = {Hyatt, Matthew},
     TITLE = {Eulerian quasisymmetric functions for the type {B} {C}oxeter
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  FJOURNAL = {Advances in Applied Mathematics},
    VOLUME = {48},
      YEAR = {2012},
    NUMBER = {3},
     PAGES = {465--505},
      ISSN = {0196-8858},
   MRCLASS = {05E05 (05A05 05A15)},
  MRNUMBER = {2899966},
MRREVIEWER = {Eric S. Egge},
       DOI = {10.1016/j.aam.2011.11.005},
       URL = {http://dx.doi.org/10.1016/j.aam.2011.11.005},
}

@book {24hours,
    AUTHOR = {Iyengar, Srikanth B. and Leuschke, Graham J. and Leykin, Anton
              and Miller, Claudia and Miller, Ezra and Singh, Anurag K. and
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     TITLE = {Twenty-four hours of local cohomology},
    SERIES = {Graduate Studies in Mathematics},
    VOLUME = {87},
 PUBLISHER = {American Mathematical Society},
   ADDRESS = {Providence, RI},
      YEAR = {2007},
     PAGES = {xviii+282},
      ISBN = {978-0-8218-4126-6},
   MRCLASS = {13D45 (14B15 55N30)},
  MRNUMBER = {2355715 (2009a:13025)},
MRREVIEWER = {Ngo Viet Trung},
}

@book {JamesKerber,
    AUTHOR = {James, Gordon and Kerber, Adalbert},
     TITLE = {The representation theory of the symmetric group},
    SERIES = {Encyclopedia of Mathematics and its Applications},
    VOLUME = {16},
      NOTE = {With a foreword by P. M. Cohn,
              With an introduction by Gilbert de B. Robinson},
 PUBLISHER = {Addison-Wesley Publishing Co., Reading, Mass.},
      YEAR = {1981},
     PAGES = {xxviii+510},
      ISBN = {0-201-13515-9},
   MRCLASS = {20-02 (20C30)},
  MRNUMBER = {644144 (83k:20003)},
MRREVIEWER = {A. O. Morris},
}

@article{Jia,
title = "Symmetric magic squares and multivariate splines ",
journal = "Linear Algebra and its Applications ",
volume = "250",
number = "0",
pages = "69 - 103",
year = "1997",
note = "",
issn = "0024-3795",
doi = "http://dx.doi.org/10.1016/0024-3795(95)00451-3",
url = "http://www.sciencedirect.com/science/article/pii/0024379595004513",
author = "Rong-Qing Jia"
}


@article {JollenbeckWelker,
    AUTHOR = {J{\"o}llenbeck, Michael and Welker, Volkmar},
     TITLE = {Minimal resolutions via algebraic discrete {M}orse theory},
   JOURNAL = {Mem. Amer. Math. Soc.},
  FJOURNAL = {Memoirs of the American Mathematical Society},
    VOLUME = {197},
      YEAR = {2009},
    NUMBER = {923},
     PAGES = {vi+74},
      ISSN = {0065-9266},
     CODEN = {MAMCAU},
      ISBN = {978-0-8218-4257-7},
   MRCLASS = {13D02 (13D03 16E05 58E05)},
  MRNUMBER = {2488864 (2009m:13017)},
MRREVIEWER = {Petter Andreas Bergh},
}

@article {JonssonHardSquares,
    AUTHOR = {Jonsson, Jakob},
     TITLE = {Hard squares with negative activity and rhombus tilings of the
              plane},
   JOURNAL = {Electron. J. Combin.},
  FJOURNAL = {Electronic Journal of Combinatorics},
    VOLUME = {13},
      YEAR = {2006},
    NUMBER = {1},
     PAGES = {Research Paper 67, 46 pp. (electronic)},
      ISSN = {1077-8926},
   MRCLASS = {05B45 (05C69)},
  MRNUMBER = {MR2240773 (2007f:05038)},
MRREVIEWER = {Markus E. Fulmek},
}

@book {JonssonBook,
    AUTHOR = {Jonsson, Jakob},
     TITLE = {Simplicial complexes of graphs},
    SERIES = {Lecture Notes in Mathematics},

    VOLUME = {1928},
 PUBLISHER = {Springer-Verlag},
   ADDRESS = {Berlin},
      YEAR = {2008},
     PAGES = {xiv+378},
      ISBN = {978-3-540-75858-7},
   MRCLASS = {05C10 (06A11 55U10)},
  MRNUMBER = {MR2368284},
}

@incollection {Kalai,
   AUTHOR = {Kalai, Gil},
    TITLE = {Algebraic shifting},
 BOOKTITLE = {Computational commutative algebra and combinatorics ({O}saka,
             1999)},
   SERIES = {Adv. Stud. Pure Math.},
   VOLUME = {33},
    PAGES = {121--163},
 PUBLISHER = {Math. Soc. Japan},
  ADDRESS = {Tokyo},
     YEAR = {2002},
  MRCLASS = {52B70 (05E25 06A11 13D03 52B22)},
 MRNUMBER = {1890098 (2003e:52024)},
MRREVIEWER = {Alexander I. Barvinok},
}


@book {Kaplan,
    AUTHOR = {Kaplan, Robert and Kaplan, Ellen},
     TITLE = {Out of the Labyrinth: Setting Mathematics Free},
 PUBLISHER = {Oxford University Press},
   ADDRESS = {USA},
      YEAR = {2008},
}


@article {KlivansSwartz,
AUTHOR = {Klivans, Caroline and Swartz, Ed},
TITLE = {Projection volumes of hyperplane arrangements},
NOTE = {preprint, 2009, http://arxiv.org/abs/1001.5095},
}

@article {KitaevMeshPatterns,
    AUTHOR = {Kitaev, Sergey and Remmel, Jeffrey and Tiefenbruck, Mark},
     TITLE = {Quadrant marked mesh patterns in 132-avoiding permutations
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   JOURNAL = {Integers},
  FJOURNAL = {Integers. Electronic Journal of Combinatorial Number Theory},
    VOLUME = {15},
      YEAR = {2015},
     PAGES = {Paper No. A16, 33},
      ISSN = {1553-1732},
   MRCLASS = {05E05 (05A05 05A15)},
  MRNUMBER = {3345153},
}

@article {KV,
    AUTHOR = {Voskresenski{\u\i}, V. E. and Klyachko, A. A.},
     TITLE = {Toric {F}ano varieties and systems of roots},
   JOURNAL = {Izv. Akad. Nauk SSSR Ser. Mat.},
  FJOURNAL = {Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya},
    VOLUME = {48},
      YEAR = {1984},
    NUMBER = {2},
     PAGES = {237--263},
      ISSN = {0373-2436},
   MRCLASS = {14L32 (14J40 14M20)},
  MRNUMBER = {740791 (85k:14024)},
MRREVIEWER = {Werner Kleinert},
}



@article {kocholtensionflow,
    AUTHOR = {Kochol, Martin},
     TITLE = {Tension-flow polynomials on graphs},
   JOURNAL = {Discrete Math.},
  FJOURNAL = {Discrete Mathematics},
    VOLUME = {274},
      YEAR = {2004},
    NUMBER = {1-3},
     PAGES = {173--185},
      ISSN = {0012-365X},
     CODEN = {DSMHA4},
   MRCLASS = {05C15 (05B35 05C30)},
  MRNUMBER = {MR2025083 (2005d:05062)},
MRREVIEWER = {Bodo Lass},
}
		
@article {kocholtension,
    AUTHOR = {Kochol, Martin},
     TITLE = {Tension polynomials of graphs},
   JOURNAL = {J. Graph Theory},
  FJOURNAL = {Journal of Graph Theory},
    VOLUME = {40},
      YEAR = {2002},
    NUMBER = {3},
     PAGES = {137--146},
      ISSN = {0364-9024},
     CODEN = {JGTHDO},
   MRCLASS = {05C15 (05C38)},
  MRNUMBER = {MR1905130 (2003f:05048)},
MRREVIEWER = {Haruo Hosoya},
}
		
@article {kocholflow,
    AUTHOR = {Kochol, Martin},
     TITLE = {Polynomials associated with nowhere-zero flows},
   JOURNAL = {J. Combin. Theory Ser. B},
  FJOURNAL = {Journal of Combinatorial Theory. Series B},
    VOLUME = {84},
      YEAR = {2002},
    NUMBER = {2},
     PAGES = {260--269},
      ISSN = {0095-8956},
     CODEN = {JCBTB8},
   MRCLASS = {05C70 (05A15 05C30)},
  MRNUMBER = {MR1889258 (2002k:05193)},
MRREVIEWER = {Cun-Quan Zhang},
}

@misc {LatteM,
AUTHOR = {K\"{o}ppe, Matthias},
TITLE = {LattE macchiato, version 1.2-mk-0.6},
NOTE = {Available from URL http://www.math.ucdavis.edu/$\sim$koeppe/latte/, 2009},
}

@article {Loday,
    AUTHOR = {Loday, Jean-Louis},
     TITLE = {Realization of the {S}tasheff polytope},
   JOURNAL = {Arch. Math. (Basel)},
  FJOURNAL = {Archiv der Mathematik},
    VOLUME = {83},
      YEAR = {2004},
    NUMBER = {3},
     PAGES = {267--278},
      ISSN = {0003-889X},
     CODEN = {ACVMAL},
   MRCLASS = {52B11 (55P47 55P48)},
  MRNUMBER = {2108555 (2005g:52028)},
MRREVIEWER = {Richard John Steiner},
       DOI = {10.1007/s00013-004-1026-y},
       URL = {http://dx.doi.org.proxy1.cl.msu.edu/10.1007/s00013-004-1026-y},
}

@book {KnuthVol1,
    AUTHOR = {Knuth, Donald E.},
     TITLE = {The {A}rt of {C}omputer {P}rogramming. {V}ol. 1: {F}undamental
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    SERIES = {Second printing},
 PUBLISHER = {Addison-Wesley Publishing Co.},
      YEAR = {1969},
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  MRNUMBER = {0286317},
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@article {konvalinkapak,
AUTHOR = {Konvalinka, Matja\v{z} and Pak, Igor},
TITLE = {Triangulations of Cayley and Tutte polytopes},
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}

@book {KozlovBook,
    AUTHOR = {Kozlov, Dmitry},
     TITLE = {Combinatorial algebraic topology},
    SERIES = {Algorithms and Computation in Mathematics},
    VOLUME = {21},
 PUBLISHER = {Springer},
   ADDRESS = {Berlin},
      YEAR = {2008},
     PAGES = {xx+389},
      ISBN = {978-3-540-71961-8},
   MRCLASS = {55-02 (05C15 05C25 06A07 52B70 55U10 57-02)},
  MRNUMBER = {MR2361455 (2008j:55001)},
MRREVIEWER = {Rade {\v{Z}}ivaljevi{\'c}},
}

@article {KozlovIndCycles,
    AUTHOR = {Kozlov, Dmitry N.},
     TITLE = {Complexes of directed trees},
   JOURNAL = {J. Combin. Theory Ser. A},
  FJOURNAL = {Journal of Combinatorial Theory. Series A},
    VOLUME = {88},
      YEAR = {1999},
    NUMBER = {1},
     PAGES = {112--122},
      ISSN = {0097-3165},
     CODEN = {JCBTA7},
   MRCLASS = {05C10 (05C05 05E25)},
  MRNUMBER = {MR1713484 (2000j:05036)},
MRREVIEWER = {Timothy Y. Chow},
}



@article {KozlovShortProof,
    AUTHOR = {Kozlov, Dmitry N.},
     TITLE = {Cobounding odd cycle colorings},
   JOURNAL = {Electron. Res. Announc. Amer. Math. Soc.},
  FJOURNAL = {Electronic Research Announcements of the American Mathematical
              Society},
    VOLUME = {12},
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     PAGES = {53--55 (electronic)},
      ISSN = {1079-6762},
   MRCLASS = {05C15 (57S17)},
  MRNUMBER = {MR2226524 (2007f:05062)},
MRREVIEWER = {Timothy Y. Chow},
}


@incollection {KozlovSurvey,
    AUTHOR = {Kozlov, Dmitry N.},
     TITLE = {Chromatic numbers, morphism complexes, and {S}tiefel-{W}hitney
              characteristic classes},
 BOOKTITLE = {Geometric combinatorics},
    SERIES = {IAS/Park City Math. Ser.},
    VOLUME = {13},
     PAGES = {249--315},
 PUBLISHER = {Amer. Math. Soc.},
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      YEAR = {2007},
   MRCLASS = {05C15 (05C25 57R20)},
  MRNUMBER = {MR2383129},
}

@article {KreuzerSkarke98,
    AUTHOR = {Kreuzer, Maximilian and Skarke, Harald},
     TITLE = {Classification of reflexive polyhedra in three dimensions},
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  FJOURNAL = {Advances in Theoretical and Mathematical Physics},
    VOLUME = {2},
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      ISSN = {1095-0761},
   MRCLASS = {14M25 (14J30 14J32)},
  MRNUMBER = {MR1663339 (99m:14100)},
MRREVIEWER = {Sandra Di Rocco},
}

@article {KreuzerSkarke04,
    AUTHOR = {Kreuzer, Maximilian and Skarke, Harald},
     TITLE = {P{ALP}: a package for analysing lattice polytopes with
              applications to toric geometry},
   JOURNAL = {Comput. Phys. Comm.},
  FJOURNAL = {Computer Physics Communications. An International Journal and
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    VOLUME = {157},
      YEAR = {2004},
    NUMBER = {1},
     PAGES = {87--106},
      ISSN = {0010-4655},
     CODEN = {CPHCBZ},
   MRCLASS = {52B20 (14M25)},
  MRNUMBER = {MR2033673 (2004j:52014)},
}

@article {KreuzerSkarke00,
    AUTHOR = {Kreuzer, Maximilian and Skarke, Harald},
     TITLE = {Complete classification of reflexive polyhedra in four
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   JOURNAL = {Adv. Theor. Math. Phys.},
  FJOURNAL = {Advances in Theoretical and Mathematical Physics},
    VOLUME = {4},
      YEAR = {2000},
    NUMBER = {6},
     PAGES = {1209--1230},
      ISSN = {1095-0761},
   MRCLASS = {52B20 (14J32 14J45 14M25)},
  MRNUMBER = {MR1894855 (2003e:52020)},
MRREVIEWER = {Alexander A. Borisov},
}

@article {lagariasziegler,
    AUTHOR = {Lagarias, Jeffrey C. and Ziegler, G{\"u}nter M.},
     TITLE = {Bounds for lattice polytopes containing a fixed number of
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   JOURNAL = {Canad. J. Math.},
  FJOURNAL = {Canadian Journal of Mathematics. Journal Canadien de
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    VOLUME = {43},
      YEAR = {1991},
    NUMBER = {5},
     PAGES = {1022--1035},
      ISSN = {0008-414X},
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   MRCLASS = {52C07 (11H06)},
  MRNUMBER = {1138580 (92k:52032)},
MRREVIEWER = {J. M. Wills},
       DOI = {10.4153/CJM-1991-058-4},
       URL = {http://dx.doi.org/10.4153/CJM-1991-058-4},
}

@article {LaHaye,
    AUTHOR = {La Haye, Ross},
     TITLE = {Binary relations on the power set of an {$n$}-element set},
   JOURNAL = {J. Integer Seq.},
  FJOURNAL = {Journal of Integer Sequences},
    VOLUME = {12},
      YEAR = {2009},
    NUMBER = {2},
     PAGES = {Article 09.2.6, 15},
      ISSN = {1530-7638},
   MRCLASS = {05A15 (05A18 11B73)},
  MRNUMBER = {MR2486261},
}


@article {LeeAssociahedron,
    AUTHOR = {Lee, Carl W.},
     TITLE = {The associahedron and triangulations of the {$n$}-gon},
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  FJOURNAL = {European Journal of Combinatorics},
    VOLUME = {10},
      YEAR = {1989},
    NUMBER = {6},
     PAGES = {551--560},
      ISSN = {0195-6698},
   MRCLASS = {52A25 (51M20)},
  MRNUMBER = {MR1022776 (90i:52010)},
MRREVIEWER = {J. M. Wills},
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@article {LinussonGridGraphs,
    AUTHOR = {Bousquet-M{\'e}lou, Mireille and Linusson, Svante and Nevo,
              Eran},
     TITLE = {On the independence complex of square grids},
   JOURNAL = {J. Algebraic Combin.},
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@incollection {LovaszDAFunctions,
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 BOOKTITLE = {Surveys in differential geometry. {V}ol. {IX}},
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@book {Ma,
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@book {MacMahonCA,
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 PUBLISHER = {Chelsea Publishing Co.},
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@article {MacMahonMaj,
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}

@Misc{M2,
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          title = {Macaulay2, a software system for research
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@book {METII,
title ={The Mathematical Education of Teachers II},
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year = {2012},
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@article {MatousekZiegler,
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   JOURNAL = {Jahresber. Deutsch. Math.-Verein.},
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      YEAR = {2004},
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      ISSN = {0012-0456},
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  MRNUMBER = {MR2073516 (2005d:05067)},
MRREVIEWER = {Timothy Y. Chow},
}



@book {MatousekBorsukUlam,
    AUTHOR = {Matou{\v{s}}ek, Ji{\v{r}}{\'{\i}}},
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      NOTE = {Lectures on topological methods in combinatorics and geometry,
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  MRNUMBER = {MR1988723 (2004i:55001)},
MRREVIEWER = {Zdzis{\l}aw Dzedzej},
}


@book {MatousekLectures,
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     TITLE = {Lectures on discrete geometry},
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 PUBLISHER = {Springer-Verlag},
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   MRCLASS = {52Cxx (52-01)},
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}

@article {Meisters,
    AUTHOR = {Meisters, G. H.},
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@article {mendesremmel,
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  MRNUMBER = {2410457 (2009d:05010)},
MRREVIEWER = {Timothy Y. Chow},
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       URL = {http://dx.doi.org/10.1016/j.disc.2007.05.027},
}

@book {MillerReiner,
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    VOLUME = {13},
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      NOTE = {Lectures from the Graduate Summer School held in Park City,
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 PUBLISHER = {American Mathematical Society},
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     PAGES = {xii+691},
      ISBN = {978-0-8218-3736-8; 0-8218-3736-2},
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MRREVIEWER = {Frank Sottile},
}


@book {MillerSturmfels,
    AUTHOR = {Miller, Ezra and Sturmfels, Bernd},
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    VOLUME = {227},
 PUBLISHER = {Springer-Verlag},
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   MRCLASS = {13-01 (05-01 05E99 13D02 14M15 14M25)},
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MRREVIEWER = {Joseph Gubeladze},
}


@article {MustataPayne,
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@article {NagelReiner,
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      YEAR = {2009},
    NUMBER = {2, Special volume in honor of Anders Bjorner},
     PAGES = {Research Paper 3, 59},
      ISSN = {1077-8926},
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@article {NillPyramids,
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  MRNUMBER = {MR2431753 (2009f:52029)},
MRREVIEWER = {Margaret M. Bayer},
}
	

@incollection {NillClassification,
    AUTHOR = {Nill, Benjamin},
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              polytopes},
 BOOKTITLE = {Algebraic and geometric combinatorics},
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   ADDRESS = {Providence, RI},
      YEAR = {2006},
   MRCLASS = {52B20 (14M25 52B12)},
  MRNUMBER = {MR2298762},
}


@article{Nill07,
year={2007},
issn={0179-5376},
journal={Discrete \& Computational Geometry},
volume={37},
number={2},
doi={10.1007/s00454-006-1299-y},
title={Volume and Lattice Points of Reflexive Simplices},
url={http://dx.doi.org/10.1007/s00454-006-1299-y},
publisher={Springer-Verlag},
author={Nill, Benjamin},
pages={301-320},
language={English}
}


@misc {nauty,
TITLE = {http://cs.anu.edu.au/~bdm/nauty/},
}

@article {OrdenSantos,
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      YEAR = {2005},
    NUMBER = {2},
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      ISSN = {0179-5376},
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@article {PakGeomPart,
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MRREVIEWER = {Ashok Kumar Agarwal},
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@article {pakpartitionsurvey,
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MRREVIEWER = {George E. Andrews},
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@article {pakpanova,
author = {Pak, Igor and Panova, Greta},
title = {Strict unimodality of q-binomial coefficients},
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}

@article {Payne,
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@article {petersenlai,
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  FJOURNAL = {Discrete Mathematics},
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  MRNUMBER = {2774218},
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       URL = {http://dx.doi.org/10.1016/j.disc.2011.01.001},
}


@article {PfeifleRoots,
title = "Gale duality bounds for roots of polynomials with nonnegative coefficients",
journal = "Journal of Combinatorial Theory, Series A",
volume = "117",
number = "3",
pages = "248 - 271",
year = "2010",
note = "",
issn = "0097-3165",
doi = "DOI: 10.1016/j.jcta.2009.10.009",
url = "http://www.sciencedirect.com/science/article/B6WHS-4XNMBSD-1/2/d46e708014fc0ec3a91e6a1d11f5b17a",
author = "Julian Pfeifle",
keywords = "Gale diagrams",
keywords = "Location of roots",
keywords = "Nonreal roots of polynomials",
keywords = "Ehrhart polynomials",
keywords = "Chromatic polynomials",
keywords = "Linear relations among coefficients of a polynomial"
}

@article {PostnikovEtAl,
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  MRNUMBER = {2520477 (2010j:05425)},
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@article {Postnikov2009,
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@article{proctor,
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     url = {http://www.jstor.org/stable/2975833},
     ISSN = {00029890},
     abstract = {},
     language = {English},
     year = {1982},
     publisher = {Mathematical Association of America},
     copyright = {Copyright © 1982 Mathematical Association of America},
    }

@article {proctordynkin,
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}

@article {ReinerWelkerPoset,
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     TITLE = {A homological lower bound for order dimension of lattices},
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    NUMBER = {2},
     PAGES = {165--170 (2000)},
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}

@article {RodriguesInv,
AUTHOR = {Rodrigues, Olinde},
TITLE = {Note sur les inversions, ou derangements produits dans les permutations},
JOURNAL = {Journal de Mathematiques},
VOLUME = {4},
YEAR = {1839},
PAGES = {236–240},
}

@article {Rodriguez-Villegas,
    AUTHOR = {Rodriguez-Villegas, Fernando},
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    VOLUME = {130},
      YEAR = {2002},
    NUMBER = {8},
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MRREVIEWER = {Michel Grandcolas},
}

@article {SackUlfarsson,
    AUTHOR = {Sack, Joshua and {\'U}lfarsson, Henning},
     TITLE = {Refined inversion statistics on permutations},
   JOURNAL = {Electron. J. Combin.},
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      YEAR = {2012},
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   MRCLASS = {05A05},
  MRNUMBER = {2880660},
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@article {SapounakisEtAl,
    AUTHOR = {Sapounakis, A. and Tasoulas, I. and Tsikouras, P.},
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  MRNUMBER = {2217231 (2007b:05018)},
MRREVIEWER = {Mikl{\'o}s B{\'o}na},
}


@incollection {SavageEtAlDigraphEnumeration,
    AUTHOR = {Davis, J. William and D'Souza, Erwin and Lee, Sunyoung and
              Savage, Carla D.},
     TITLE = {Enumeration of integer solutions to linear inequalities
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 BOOKTITLE = {Integer points in polyhedra---geometry, number theory,
              representation theory, algebra, optimization, statistics},
    SERIES = {Contemp. Math.},
    VOLUME = {452},
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   ADDRESS = {Providence, RI},
      YEAR = {2008},
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  MRNUMBER = {MR2405765},
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@article {SavageEtAlInequalities,
    AUTHOR = {Corteel, Sylvie and Savage, Carla D. and Wilf, Herbert S.},
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  FJOURNAL = {Integers. Electronic Journal of Combinatorial Number Theory},
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      ISSN = {1553-1732},
   MRCLASS = {11P81},
  MRNUMBER = {MR2192243 (2008c:11136)},
MRREVIEWER = {L. Bruce Richmond},
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@article{schepersvanl,
year={2013},
issn={0218-0006},
journal={Annals of Combinatorics},
doi={10.1007/s00026-013-0185-6},
title={Unimodality Questions for Integrally Closed Lattice Polytopes},
url={http://dx.doi.org/10.1007/s00026-013-0185-6},
publisher={SP Birkhäuser Verlag Basel},
keywords={52B20; 05A20; 11B68; integrally closed polytopes; lattice parallelepiped; Ehrhart delta-vector; unimodality; reflexive polytopes; Eulerian numbers},
author={Schepers, Jan and Van Langenhoven, Leen},
pages={1-19},
language={English}
}

@incollection {SchrijverIDP,
    AUTHOR = {Schrijver, A.},
     TITLE = {Polyhedral Combinatorics},
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   ADDRESS = {Amsterdam},
      YEAR = {1995},
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@article {SchrijverGraphs,
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  FJOURNAL = {Nieuw Archief voor Wiskunde. Derde Serie},
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      YEAR = {1978},
    NUMBER = {3},
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   MRCLASS = {05C15},
  MRNUMBER = {MR512648 (80g:05037)},
MRREVIEWER = {L{\'a}szl{\'o} Lov{\'a}sz},
}

@article {SchultzStableKneserNotTest,
    AUTHOR = {Schultz, Carsten},
     TITLE = {The equivariant topology of stable {K}neser graphs},
   JOURNAL = {J. Combin. Theory Ser. A},
  FJOURNAL = {Journal of Combinatorial Theory. Series A},
    VOLUME = {118},
      YEAR = {2011},
    NUMBER = {8},
     PAGES = {2291--2318},
      ISSN = {0097-3165},
     CODEN = {JCBTA7},
   MRCLASS = {05C10 (05C15 05C60)},
  MRNUMBER = {2834178 (2012i:05068)},
       DOI = {10.1016/j.jcta.2011.04.009},
       URL = {http://dx.doi.org/10.1016/j.jcta.2011.04.009},
}

@article {SchultzPathsStableKneser,
AUTHOR = {Schultz, Carsten},
TITLE = {Paths of homomorphisms from stable {K}neser graphs},
NOTE = {preprint, http://arxiv.org/abs/1006.0474},
}

@article {SchultzSpacesOfCircuits,
    AUTHOR = {Schultz, Carsten},
     TITLE = {Graph colorings, spaces of edges and spaces of circuits},
   JOURNAL = {Adv. Math.},
  FJOURNAL = {Advances in Mathematics},
    VOLUME = {221},
      YEAR = {2009},
    NUMBER = {6},
     PAGES = {1733--1756},
      ISSN = {0001-8708},
     CODEN = {ADMTA4},
   MRCLASS = {57M15 (05C15)},
  MRNUMBER = {MR2522827},
       DOI = {10.1016/j.aim.2009.03.006},
       URL = {http://dx.doi.org/10.1016/j.aim.2009.03.006},
}

@article {SchultzShortProof,
    AUTHOR = {Schultz, Carsten},
     TITLE = {A short proof of {$w^n_1({\rm Hom}(C_{2r+1},K_{n+2}))=0$} for all {$n$} and a graph colouring theorem by
              {B}abson and {K}ozlov},
   JOURNAL = {Israel J. Math.},
  FJOURNAL = {Israel Journal of Mathematics},
    VOLUME = {170},
      YEAR = {2009},
     PAGES = {125--134},
      ISSN = {0021-2172},
     CODEN = {ISJMAP},
   MRCLASS = {05E15 (05C15 05C25)},
  MRNUMBER = {MR2506321},
       DOI = {10.1007/s11856-009-0023-z},
       URL = {http://dx.doi.org/10.1007/s11856-009-0023-z},
}


@article {ShareshianLinusson,
    AUTHOR = {Linusson, Svante and Shareshian, John},
     TITLE = {Complexes of {$t$}-colorable graphs},
   JOURNAL = {SIAM J. Discrete Math.},
  FJOURNAL = {SIAM Journal on Discrete Mathematics},
    VOLUME = {16},
      YEAR = {2003},
    NUMBER = {3},
     PAGES = {371--389 (electronic)},
      ISSN = {0895-4801},
   MRCLASS = {05E25 (05C15 06A11 57M15)},
  MRNUMBER = {MR2002166 (2004f:05191)},
MRREVIEWER = {Edward B. Swartz},
}


@article {shareshianwachseulerian,
    AUTHOR = {Shareshian, John and Wachs, Michelle L.},
     TITLE = {{$q$}-{E}ulerian polynomials: excedance number and major
              index},
   JOURNAL = {Electron. Res. Announc. Amer. Math. Soc.},
  FJOURNAL = {Electronic Research Announcements of the American Mathematical
              Society},
    VOLUME = {13},
      YEAR = {2007},
     PAGES = {33--45 (electronic)},
      ISSN = {1079-6762},
   MRCLASS = {05A30 (05A15 05E05 05E25)},
  MRNUMBER = {2300004 (2008e:05010)},
MRREVIEWER = {Ira Gessel},
       DOI = {10.1090/S1079-6762-07-00172-2},
       URL = {http://dx.doi.org/10.1090/S1079-6762-07-00172-2},
}

@article {shareshianwachseulerianfinal,
    AUTHOR = {Shareshian, John and Wachs, Michelle L.},
     TITLE = {Eulerian quasisymmetric functions},
   JOURNAL = {Adv. Math.},
  FJOURNAL = {Advances in Mathematics},
    VOLUME = {225},
      YEAR = {2010},
    NUMBER = {6},
     PAGES = {2921--2966},
      ISSN = {0001-8708},
     CODEN = {ADMTA4},
   MRCLASS = {05E05 (05A15 05A30)},
  MRNUMBER = {2728998 (2012a:05336)},
MRREVIEWER = {Kurt W. Luoto},
       DOI = {10.1016/j.aim.2010.05.009},
       URL = {http://dx.doi.org/10.1016/j.aim.2010.05.009},
}

@article {SimionSchmidt,
    AUTHOR = {Simion, Rodica and Schmidt, Frank W.},
     TITLE = {Restricted permutations},
   JOURNAL = {European J. Combin.},
  FJOURNAL = {European Journal of Combinatorics},
    VOLUME = {6},
      YEAR = {1985},
     PAGES = {383--406},
      ISSN = {0195-6698},
   MRCLASS = {05A05 (05A15)},
  MRNUMBER = {829358},
       DOI = {10.1016/S0195-6698(85)80052-4},
       URL = {http://dx.doi.org.proxy1.cl.msu.edu/10.1016/S0195-6698(85)80052-4},
}

@article {SimonyiTardos,
    AUTHOR = {Simonyi, G{\'a}bor and Tardos, G{\'a}bor},
     TITLE = {Local chromatic number, {K}y {F}an's theorem and circular
              colorings},
   JOURNAL = {Combinatorica},
  FJOURNAL = {Combinatorica. An International Journal on Combinatorics and
              the Theory of Computing},
    VOLUME = {26},
      YEAR = {2006},
    NUMBER = {5},
     PAGES = {587--626},
      ISSN = {0209-9683},
   MRCLASS = {05C15 (55U10)},
  MRNUMBER = {MR2279672 (2007j:05083)},
MRREVIEWER = {Sonja {\v{C}}uki{\'c}},
}

@book {DBER,
editor ={Singer, S.R., Nielsen, N.R., and Schweingruber, H.A.},
title={Discipline-based education research: understanding and improving learning in undergraduate science and engineering},
publisher ={National Research Council. The National Academies Press},
year={2012},
}


@article {Skoldberg,
    AUTHOR = {Sk{\"o}ldberg, Emil},
     TITLE = {Morse theory from an algebraic viewpoint},
   JOURNAL = {Trans. Amer. Math. Soc.},
  FJOURNAL = {Transactions of the American Mathematical Society},
    VOLUME = {358},
      YEAR = {2006},
    NUMBER = {1},
     PAGES = {115--129 (electronic)},
      ISSN = {0002-9947},
     CODEN = {TAMTAM},
   MRCLASS = {16E05 (05E99 17B56)},
  MRNUMBER = {2171225 (2006e:16013)},
MRREVIEWER = {Henrik Holm},
       DOI = {10.1090/S0002-9947-05-04079-1},
       URL = {http://dx.doi.org/10.1090/S0002-9947-05-04079-1},
}


@book {Soardi,
    AUTHOR = {Soardi, Paolo M.},
     TITLE = {Potential theory on infinite networks},
    SERIES = {Lecture Notes in Mathematics},
    VOLUME = {1590},
 PUBLISHER = {Springer-Verlag},
   ADDRESS = {Berlin},
      YEAR = {1994},
     PAGES = {viii+187},
      ISBN = {3-540-58448-X},
   MRCLASS = {31C20 (05C90 60J45 94C05)},
  MRNUMBER = {MR1324344 (96i:31005)},
MRREVIEWER = {Maretsugu Yamasaki},
}


@article {StapledonRepresentationEhrhart,
title = "Equivariant Ehrhart theory",
journal = "Advances in Mathematics",
volume = "226",
number = "4",
pages = "3622 - 3654",
year = "2011",
note = "",
issn = "0001-8708",
doi = "DOI: 10.1016/j.aim.2010.10.019",
url = "http://www.sciencedirect.com/science/article/B6W9F-51BG437-3/2/3b34b74221c35de03734fa5547a4df26",
author = "Alan Stapledon",
keywords = "Lattice polytopes",
keywords = "Toric varieties",
keywords = "Group actions on varieties"
}

@article{stanley1973,
ajournal = "Duke Math. J.",
author = "Stanley, Richard P.",
doi = "10.1215/S0012-7094-73-04054-4",
journal = "Duke Mathematical Journal",
month = "09",
number = "3",
pages = "607--632",
publisher = "Duke University Press",
title = "Linear homogeneous Diophantine equations and magic labelings
 of graphs",
url = "http://dx.doi.org/10.1215/S0012-7094-73-04054-4",
volume = "40",
year = "1973"
}

@article{stanley1976,
ajournal = "Duke Math. J.",
author = "Stanley, Richard P.",
doi = "10.1215/S0012-7094-76-04342-8",
journal = "Duke Mathematical Journal",
month = "09",
number = "3",
pages = "511--531",
publisher = "Duke University Press",
title = "Magic labelings of graphs, symmetric magic squares, systems of parameters, and {C}ohen-{M}acaulay rings",
url = "http://dx.doi.org/10.1215/S0012-7094-76-04342-8",
volume = "43",
year = "1976"
}

@article{gtheoremStanley,
title = "The number of faces of a simplicial convex polytope ",
journal = "Advances in Mathematics ",
volume = "35",
number = "3",
pages = "236 - 238",
year = "1980",
note = "",
issn = "0001-8708",
doi = "http://dx.doi.org/10.1016/0001-8708(80)90050-X",
url = "http://www.sciencedirect.com/science/article/pii/000187088090050X",
author = "Richard P Stanley"
}

@article {stanleyhstarmonotonic,
    AUTHOR = {Stanley, Richard P.},
     TITLE = {A monotonicity property of {$h$}-vectors and {$h^*$}-vectors},
   JOURNAL = {European J. Combin.},
  FJOURNAL = {European Journal of Combinatorics},
    VOLUME = {14},
      YEAR = {1993},
    NUMBER = {3},
     PAGES = {251--258},
      ISSN = {0195-6698},
   MRCLASS = {52B20 (05E99 06A07 06A08 13F50)},
  MRNUMBER = {1215335 (94f:52016)},
       DOI = {10.1006/eujc.1993.1028},
       URL = {http://dx.doi.org/10.1006/eujc.1993.1028},
}

@book {StanleyGreenBook,
    AUTHOR = {Stanley, Richard P.},
     TITLE = {Combinatorics and commutative algebra},
    SERIES = {Progress in Mathematics},
    VOLUME = {41},
   EDITION = {Second},
 PUBLISHER = {Birkh\"auser Boston Inc.},
   ADDRESS = {Boston, MA},
      YEAR = {1996},
     PAGES = {x+164},
      ISBN = {0-8176-3836-9},
   MRCLASS = {05-02 (13F50)},
  MRNUMBER = {1453579 (98h:05001)},
MRREVIEWER = {Volkmar Welker},
}

@article {StanleyDecompositions,
    AUTHOR = {Stanley, Richard P.},
     TITLE = {Decompositions of rational convex polytopes},
      NOTE = {Combinatorial mathematics, optimal designs and their
              applications (Proc. Sympos. Combin. Math. and Optimal Design,
              Colorado State Univ., Fort Collins, Colo., 1978)},
   JOURNAL = {Ann. Discrete Math.},
  FJOURNAL = {Annals of Discrete Mathematics},
    VOLUME = {6},
      YEAR = {1980},
     PAGES = {333--342},
   MRCLASS = {52A43},
  MRNUMBER = {MR593545 (82a:52007)},
MRREVIEWER = {P. McMullen},
}

@book {StanleyVol1,
    AUTHOR = {Stanley, Richard P.},
     TITLE = {Enumerative combinatorics. {V}ol. 1},
    SERIES = {Cambridge Studies in Advanced Mathematics},
    VOLUME = {49},
      NOTE = {With a foreword by Gian-Carlo Rota,
              Corrected reprint of the 1986 original},
 PUBLISHER = {Cambridge University Press},
   ADDRESS = {Cambridge},
      YEAR = {1997},
     PAGES = {xii+325},
      ISBN = {0-521-55309-1; 0-521-66351-2},
   MRCLASS = {05-02 (05A15 06-02 11-02)},
  MRNUMBER = {MR1442260 (98a:05001)},
MRREVIEWER = {Wayne M. Dymacek},
}

@book {StanleyVol1Ed2,
    AUTHOR = {Stanley, Richard P.},
     TITLE = {Enumerative combinatorics. {V}olume 1},
    SERIES = {Cambridge Studies in Advanced Mathematics},
    VOLUME = {49},
   EDITION = {Second},
 PUBLISHER = {Cambridge University Press},
   ADDRESS = {Cambridge},
      YEAR = {2012},
     PAGES = {xiv+626},
      ISBN = {978-1-107-60262-5},
   MRCLASS = {05-02 (05A15 06-02)},
  MRNUMBER = {2868112},
}

@book {StanleyVol2,
    AUTHOR = {Stanley, Richard P.},
     TITLE = {Enumerative combinatorics. {V}ol. 2},
    SERIES = {Cambridge Studies in Advanced Mathematics},
    VOLUME = {62},
      NOTE = {With a foreword by Gian-Carlo Rota and appendix 1 by Sergey
              Fomin},
 PUBLISHER = {Cambridge University Press},
   ADDRESS = {Cambridge},
      YEAR = {1999},
     PAGES = {xii+581},
      ISBN = {0-521-56069-1; 0-521-78987-7},
   MRCLASS = {05A15 (05-02 05E05 05E10 68R05)},
  MRNUMBER = {1676282 (2000k:05026)},
MRREVIEWER = {Ira Gessel},
       DOI = {10.1017/CBO9780511609589},
       URL = {http://dx.doi.org/10.1017/CBO9780511609589},
}


@article {StanleyGradedDomains,
    AUTHOR = {Stanley, Richard P.},
     TITLE = {On the {H}ilbert function of a graded {C}ohen-{M}acaulay
              domain},
   JOURNAL = {J. Pure Appl. Algebra},
  FJOURNAL = {Journal of Pure and Applied Algebra},
    VOLUME = {73},
      YEAR = {1991},
    NUMBER = {3},
     PAGES = {307--314},
      ISSN = {0022-4049},
     CODEN = {JPAAA2},
   MRCLASS = {13D40 (13A02 13H10 52B20)},
  MRNUMBER = {MR1124790 (92f:13017)},
MRREVIEWER = {Matthew Miller},
}

@article {StanleyAcyclic,
    AUTHOR = {Stanley, Richard P.},
     TITLE = {Acyclic orientations of graphs},
   JOURNAL = {Discrete Math.},
  FJOURNAL = {Discrete Mathematics},
    VOLUME = {5},
      YEAR = {1973},
     PAGES = {171--178},
      ISSN = {0012-365X},
   MRCLASS = {05C20 (05C15 06A10)},
  MRNUMBER = {MR0317988 (47 \#6537)},
MRREVIEWER = {R. C. Read},
}

@article {StanleyTwoPosetPolytopes,
    AUTHOR = {Stanley, Richard P.},
     TITLE = {Two poset polytopes},
   JOURNAL = {Discrete Comput. Geom.},
  FJOURNAL = {Discrete \& Computational Geometry. An International Journal
              of Mathematics and Computer Science},
    VOLUME = {1},
      YEAR = {1986},
    NUMBER = {1},
     PAGES = {9--23},
      ISSN = {0179-5376},
     CODEN = {DCGEER},
   MRCLASS = {52A25 (52A40)},
  MRNUMBER = {MR824105 (87e:52012)},
MRREVIEWER = {P. McMullen},
       DOI = {10.1007/BF02187680},
       URL = {http://dx.doi.org/10.1007/BF02187680},
}

@book {stanleythesis,
    AUTHOR = {Stanley, Richard P.},
     TITLE = {Ordered structures and partitions},
      NOTE = {Memoirs of the American Mathematical Society, No. 119},
 PUBLISHER = {American Mathematical Society},
   ADDRESS = {Providence, R.I.},
      YEAR = {1972},
     PAGES = {iii+104},
   MRCLASS = {05A17},
MRREVIEWER = {L. K. Durst},
}

@incollection {stanleylogconcave,
    AUTHOR = {Stanley, Richard P.},
     TITLE = {Log-concave and unimodal sequences in algebra, combinatorics,
              and geometry},
 BOOKTITLE = {Graph theory and its applications: {E}ast and {W}est ({J}inan,
              1986)},
    SERIES = {Ann. New York Acad. Sci.},
    VOLUME = {576},
     PAGES = {500--535},
 PUBLISHER = {New York Acad. Sci.},
   ADDRESS = {New York},
      YEAR = {1989},
   MRCLASS = {05E15 (05E10 20C15 52B20)},
  MRNUMBER = {1110850 (92e:05124)},
MRREVIEWER = {L. Bruce Richmond},
       DOI = {10.1111/j.1749-6632.1989.tb16434.x},
       URL = {http://dx.doi.org/10.1111/j.1749-6632.1989.tb16434.x},
}

@incollection {StanleyZonotope,
    AUTHOR = {Stanley, Richard P.},
     TITLE = {A zonotope associated with graphical degree sequences},
 BOOKTITLE = {Applied geometry and discrete mathematics},
    SERIES = {DIMACS Ser. Discrete Math. Theoret. Comput. Sci.},
    VOLUME = {4},
     PAGES = {555--570},
 PUBLISHER = {Amer. Math. Soc., Providence, RI},
      YEAR = {1991},
   MRCLASS = {52B20 (05C30 52B05)},
  MRNUMBER = {1116376 (92k:52020)},
MRREVIEWER = {P. McMullen},
}

@book{sturmfels,
    AUTHOR = {Sturmfels, Bernd},
     TITLE = {Gr\"obner {B}ases and {C}onvex {P}olytopes},
    SERIES = {University Lecture Series},
    VOLUME = {8},
 PUBLISHER = {American Mathematical Society},
   ADDRESS = {Providence, RI},
      YEAR = {1996},
     PAGES = {xii+162},
      ISBN = {0-8218-0487-1},
   MRCLASS = {13P10 (14M25 52B20)},
  MRNUMBER = {MR1363949 (97b:13034)},
MRREVIEWER = {P. Schenzel},
}

@article {sullivant2006,
    AUTHOR = {Sullivant, Seth},
     TITLE = {Compressed polytopes and statistical disclosure limitation},
   JOURNAL = {Tohoku Math. J. (2)},
       DOI = {10.2748/tmj/1163775139},
  FJOURNAL = {Tohoku Mathematical Journal},
     MONTH = {09},
    NUMBER = {3},
     PAGES = {433--445},
 PUBLISHER = {Tohoku University, Mathematical Institute},
       URL = {http://dx.doi.org/10.2748/tmj/1163775139},
    VOLUME = {58},
      YEAR = {2006}
}

@article {Talbot,
    AUTHOR = {Talbot, John},
     TITLE = {Intersecting families of separated sets},
   JOURNAL = {J. London Math. Soc. (2)},
  FJOURNAL = {Journal of the London Mathematical Society. Second Series},
    VOLUME = {68},
      YEAR = {2003},
    NUMBER = {1},
     PAGES = {37--51},
      ISSN = {0024-6107},
     CODEN = {JLMSAK},
   MRCLASS = {05D05 (05C65)},
  MRNUMBER = {MR1980242 (2004d:05200)},
MRREVIEWER = {{\'A}kos Seress},
}

@article {TennerPattern,
    AUTHOR = {Tenner, Bridget Eileen},
     TITLE = {Pattern avoidance and the {B}ruhat order},
   JOURNAL = {J. Combin. Theory Ser. A},
  FJOURNAL = {Journal of Combinatorial Theory. Series A},
    VOLUME = {114},
      YEAR = {2007},
    NUMBER = {5},
     PAGES = {888--905},
      ISSN = {0097-3165},
     CODEN = {JCBTA7},
   MRCLASS = {05E15 (06A07 20F55)},
  MRNUMBER = {2333139 (2008d:05164)},
MRREVIEWER = {Alessandro Conflitti},
       DOI = {10.1016/j.jcta.2006.10.003},
       URL = {http://dx.doi.org/10.1016/j.jcta.2006.10.003},
}


@MISC {Thapper,
  author = {Johan Thapper},
  title = {Independence Complexes of Cylinders Constructed from Square and Hexagonal Grid Graphs},
  note = {http://www.citebase.org/abstract?id=oai:arXiv.org:0812.1165},
  year = {2008}
}

@article {Toussaint,
    AUTHOR = {Toussaint, Godfried},
     TITLE = {Anthropomorphic polygons},
   JOURNAL = {Amer. Math. Monthly},
  FJOURNAL = {The American Mathematical Monthly},
    VOLUME = {98},
      YEAR = {1991},
     PAGES = {31--35},
      ISSN = {0002-9890},
     CODEN = {AMMYAE},
   MRCLASS = {52B55 (68U05)},
  MRNUMBER = {MR1083611 (92e:52022)},
MRREVIEWER = {Michael B. Dillencourt},
}

@book {TrotterBook,
    AUTHOR = {Trotter, William T.},
     TITLE = {Combinatorics and partially ordered sets},
    SERIES = {Johns Hopkins Series in the Mathematical Sciences},
      NOTE = {Dimension theory},
 PUBLISHER = {Johns Hopkins University Press},
   ADDRESS = {Baltimore, MD},
      YEAR = {1992},
     PAGES = {xvi+307},
      ISBN = {0-8018-4425-8},
   MRCLASS = {06-02 (05-02 06A06 06A07)},
  MRNUMBER = {MR1169299 (94a:06001)},
MRREVIEWER = {K. P. Bogart},
}

@Unpublished {vanherick,
   AUTHOR = {Andrew Van Herick},
    TITLE = {Theoretical and computational methods for lattice point
enumeration in inside-out polytopes},
 note =        {MA thesis, San Francisco State University},
 year =        {2007. Available at {\tt
http://math.sfsu.edu/beck/teach/masters/andrewv.pdf}. \\ {\it Software
package} {\tt IOP} available at {\tt http://iop.sourceforge.net/}}
}

@book {Vandervelde,
    AUTHOR = {Vandervelde, Sam},
     TITLE = {Circle in a Box},
 PUBLISHER = {American Mathematical Society},
      YEAR = {2009},
}

@article {Velasco,
    AUTHOR = {Velasco, Mauricio},
     TITLE = {Minimal free resolutions that are not supported by a
              {CW}-complex},
   JOURNAL = {J. Algebra},
  FJOURNAL = {Journal of Algebra},
    VOLUME = {319},
      YEAR = {2008},
    NUMBER = {1},
     PAGES = {102--114},
      ISSN = {0021-8693},
     CODEN = {JALGA4},
   MRCLASS = {13D02},
  MRNUMBER = {2378063 (2008j:13028)},
MRREVIEWER = {Siamak Yassemi},
       DOI = {10.1016/j.jalgebra.2007.10.011},
       URL = {http://dx.doi.org/10.1016/j.jalgebra.2007.10.011},
}


@article {WachsDongLaplacian,
    AUTHOR = {Dong, Xun and Wachs, Michelle L.},
     TITLE = {Combinatorial {L}aplacian of the matching complex},
   JOURNAL = {Electron. J. Combin.},
  FJOURNAL = {Electronic Journal of Combinatorics},
    VOLUME = {9},
      YEAR = {2002},
    NUMBER = {1},
     PAGES = {Research Paper 17, 11 pp. (electronic)},
      ISSN = {1077-8926},
   MRCLASS = {05E10 (13F55 20G05)},
  MRNUMBER = {MR1912799 (2003g:05131)},
MRREVIEWER = {Hiro-Fumi Yamada},
}

@article {WachsTopologyMatching,
    AUTHOR = {Wachs, Michelle L.},
     TITLE = {Topology of matching, chessboard, and general bounded degree
              graph complexes},
      NOTE = {Dedicated to the memory of Gian-Carlo Rota},
   JOURNAL = {Algebra Universalis},
  FJOURNAL = {Algebra Universalis},
    VOLUME = {49},
      YEAR = {2003},
    NUMBER = {4},
     PAGES = {345--385},
      ISSN = {0002-5240},
     CODEN = {AGUVA3},
   MRCLASS = {05E25 (05C10 05E10 55U10)},
  MRNUMBER = {MR2022345 (2004m:05269)},
MRREVIEWER = {Edward B. Swartz},
}


@article {Whitney,
    AUTHOR = {Whitney, Hassler},
     TITLE = {A logical expansion in mathematics},
   JOURNAL = {Bull. Amer. Math. Soc.},
  FJOURNAL = {Bulletin of the American Mathematical Society},
    VOLUME = {38},
      YEAR = {1932},
    NUMBER = {8},
     PAGES = {572--579},
      ISSN = {0002-9904},
   MRCLASS = {Contributed Item},
  MRNUMBER = {MR1562461},
}

@article {ZeilbergerProof,
    AUTHOR = {Zeilberger, Doron},
     TITLE = {Proof of a conjecture of {C}han, {R}obbins, and {Y}uen},
      NOTE = {Orthogonal polynomials: numerical and symbolic algorithms
              (Legan{\'e}s, 1998)},
   JOURNAL = {Electron. Trans. Numer. Anal.},
  FJOURNAL = {Electronic Transactions on Numerical Analysis},
    VOLUME = {9},
      YEAR = {1999},
     PAGES = {147--148 (electronic)},
      ISSN = {1068-9613},
   MRCLASS = {05A15 (52B05)},
  MRNUMBER = {1749805 (2001b:05015)},
}



@book {ZieglerLectures,
    AUTHOR = {Ziegler, G{\"u}nter M.},
     TITLE = {Lectures on polytopes},
    SERIES = {Graduate Texts in Mathematics},
    VOLUME = {152},
 PUBLISHER = {Springer-Verlag},
   ADDRESS = {New York},
      YEAR = {1995},
     PAGES = {x+370},
      ISBN = {0-387-94365-X},
   MRCLASS = {52Bxx},
  MRNUMBER = {MR1311028 (96a:52011)},
MRREVIEWER = {Margaret M. Bayer},
}