@article {davies2018potts,
    AUTHOR = {Davies, Ewan and Jenssen, Matthew and Perkins, Will and
              Roberts, Barnaby},
     TITLE = {Extremes of the internal energy of the {P}otts model on cubic
              graphs},
   JOURNAL = {Random Structures Algorithms},
  FJOURNAL = {Random Structures \& Algorithms},
    VOLUME = {53},
      YEAR = {2018},
    NUMBER = {1},
     PAGES = {59--75},
   MRCLASS = {05C60 (05C15 82B20)},
  MRNUMBER = {3829436},
MRREVIEWER = {Jonathan\ Cutler},
       DOI = {10.1002/rsa.20767},
       URL = {https://doi.org/10.1002/rsa.20767},
}

@incollection {galvin2004weighted,
    AUTHOR = {Galvin, David and Tetali, Prasad},
     TITLE = {On weighted graph homomorphisms},
 BOOKTITLE = {Graphs, morphisms and statistical physics},
    SERIES = {DIMACS Ser. Discrete Math. Theoret. Comput. Sci.},
    VOLUME = {63},
     PAGES = {97--104},
 PUBLISHER = {Amer. Math. Soc., Providence, RI},
      YEAR = {2004},
   MRCLASS = {05A16 (05C99 82B20)},
  MRNUMBER = {2056231},
MRREVIEWER = {Valery\ A.\ Liskovets},
       DOI = {10.1090/dimacs/063/07},
       URL = {https://doi.org/10.1090/dimacs/063/07},
}


@article {stanley1995symmetric,
    AUTHOR = {Stanley, Richard P.},
     TITLE = {A symmetric function generalization of the chromatic polynomial of a graph},
   JOURNAL = {Adv. Math.},
  FJOURNAL = {Advances in Mathematics},
    VOLUME = {111},
      YEAR = {1995},
    NUMBER = {1},
     PAGES = {166--194},
   MRCLASS = {05E05 (05C15)},
  MRNUMBER = {1317387},
MRREVIEWER = {SeungKyung\ Park},
       DOI = {10.1006/aima.1995.1020},
       URL = {https://doi.org/10.1006/aima.1995.1020},
}

@article {kahn2001entropy,
    AUTHOR = {Kahn, Jeff},
     TITLE = {An entropy approach to the hard-core model on bipartite
              graphs},
   JOURNAL = {Combin. Probab. Comput.},
  FJOURNAL = {Combinatorics, Probability and Computing},
    VOLUME = {10},
      YEAR = {2001},
    NUMBER = {3},
     PAGES = {219--237},
   MRCLASS = {05C69},
  MRNUMBER = {1841642},
       DOI = {10.1017/S0963548301004631},
       URL = {https://doi.org/10.1017/S0963548301004631},
}

@article {herzog2002discrete,
    AUTHOR = {Herzog, J\"{u}rgen and Hibi, Takayuki},
     TITLE = {Discrete polymatroids},
   JOURNAL = {J. Algebraic Combin.},
  FJOURNAL = {Journal of Algebraic Combinatorics. An International Journal},
    VOLUME = {16},
      YEAR = {2002},
    NUMBER = {3},
     PAGES = {239--268},
   MRCLASS = {52B40 (05B35 13H10 14M25)},
  MRNUMBER = {1957102},
MRREVIEWER = {Edward\ B.\ Swartz},
       DOI = {10.1023/A:1021852421716},
       URL = {https://doi.org/10.1023/A:1021852421716},
}

@inproceedings {galanis2014inapproximability,
    AUTHOR = {Galanis, Andreas and \v{S}tefankovi\v{c}, Daniel and Vigoda,
              Eric},
     TITLE = {Inapproximability for antiferromagnetic spin systems in the
              tree non-uniqueness region},
 BOOKTITLE = {S{TOC}'14---{P}roceedings of the 2014 {ACM} {S}ymposium on
              {T}heory of {C}omputing},
     PAGES = {823--831},
 PUBLISHER = {ACM, New York},
      YEAR = {2014},
   MRCLASS = {05C85 (05C80 82C26)},
  MRNUMBER = {3239010},
}

@article {chudnovsky2007roots,
    AUTHOR = {Chudnovsky, Maria and Seymour, Paul},
     TITLE = {The roots of the independence polynomial of a clawfree graph},
   JOURNAL = {J. Combin. Theory Ser. B},
  FJOURNAL = {Journal of Combinatorial Theory. Series B},
    VOLUME = {97},
      YEAR = {2007},
    NUMBER = {3},
     PAGES = {350--357},
   MRCLASS = {05C69},
  MRNUMBER = {2305888},
MRREVIEWER = {Steven\ D.\ Noble},
       DOI = {10.1016/j.jctb.2006.06.001},
       URL = {https://doi.org/10.1016/j.jctb.2006.06.001},
}

% information theory
@misc {galvin2014entropy,
     title = {Three tutorial lectures on entropy and counting}, 
    AUTHOR = {Galvin, David},
      YEAR = {2014},
    EPRINT = {1406.7872},
EPRINTTYPE = {arxiv},
      archivePrefix={arXiv},
      primaryClass={math.CO},
       URL = {https://arxiv.org/abs/1406.7872}, 
}

% geometric projection inequalities
@article {friedgut2004hypergraphs,
    AUTHOR = {Friedgut, Ehud},
     TITLE = {Hypergraphs, entropy, and inequalities},
   JOURNAL = {Amer. Math. Monthly},
  FJOURNAL = {American Mathematical Monthly},
    VOLUME = {111},
      YEAR = {2004},
    NUMBER = {9},
     PAGES = {749--760},
   MRCLASS = {94A17 (01A05 26D15)},
  MRNUMBER = {2104047},
       DOI = {10.2307/4145187},
       URL = {https://doi.org/10.2307/4145187},
}

@article {lubetzky2015replica,
    AUTHOR = {Lubetzky, Eyal and Zhao, Yufei},
     TITLE = {On replica symmetry of large deviations in random graphs},
   JOURNAL = {Random Structures Algorithms},
  FJOURNAL = {Random Structures \& Algorithms},
    VOLUME = {47},
      YEAR = {2015},
    NUMBER = {1},
     PAGES = {109--146},
   MRCLASS = {05C80 (60C05)},
  MRNUMBER = {3366814},
MRREVIEWER = {Yilun\ Shang},
       DOI = {10.1002/rsa.20536},
       URL = {https://doi.org/10.1002/rsa.20536},
}

% statistical physics
@inproceedings {brightwell2002hard,
    AUTHOR = {Brightwell, Graham R. and Winkler, Peter},
     TITLE = {Hard constraints and the {B}ethe lattice: adventures at the
              interface of combinatorics and statistical physics},
 BOOKTITLE = {Proceedings of the {I}nternational {C}ongress of
              {M}athematicians, {V}ol. {III} ({B}eijing, 2002)},
     PAGES = {605--624},
 PUBLISHER = {Higher Ed. Press, Beijing},
      YEAR = {2002},
   MRCLASS = {82B20 (05C90 68Q99 82-02 82B23 82B26)},
  MRNUMBER = {1957564},
MRREVIEWER = {Mark\ R.\ Jerrum},
}

@article {davies2017independent,
    AUTHOR = {Davies, Ewan and Jenssen, Matthew and Perkins, Will and
              Roberts, Barnaby},
     TITLE = {Independent sets, matchings, and occupancy fractions},
   JOURNAL = {J. Lond. Math. Soc. (2)},
  FJOURNAL = {Journal of the London Mathematical Society. Second Series},
    VOLUME = {96},
      YEAR = {2017},
    NUMBER = {1},
     PAGES = {47--66},
   MRCLASS = {05C69 (05C31 05C70 82B20)},
  MRNUMBER = {3687939},
MRREVIEWER = {Dmitriy\ S.\ Malyshev},
       DOI = {10.1112/jlms.12056},
       URL = {https://doi-org-ssl.access.yonsei.ac.kr/10.1112/jlms.12056},
}

% Lorentzian
@incollection {choe2004homogeneous,
    AUTHOR = {Choe, Young-Bin and Oxley, James G. and Sokal, Alan D. and Wagner, David G.},
     TITLE = {Homogeneous multivariate polynomials with the half-plane property},
      NOTE = {Special issue on the Tutte polynomial},
   JOURNAL = {Adv. in Appl. Math.},
  FJOURNAL = {Advances in Applied Mathematics},
    VOLUME = {32},
      YEAR = {2004},
    NUMBER = {1-2},
     PAGES = {88--187},
   MRCLASS = {05B35},
  MRNUMBER = {2037144},
MRREVIEWER = {Gordon\ F.\ Royle},
       DOI = {10.1016/S0196-8858(03)00078-2},
       URL = {https://doi.org/10.1016/S0196-8858(03)00078-2},
}

@article {branden2007polynomials,
    AUTHOR = {Br\"and\'en, Petter},
     TITLE = {Polynomials with the half-plane property and matroid theory},
   JOURNAL = {Adv. Math.},
  FJOURNAL = {Advances in Mathematics},
    VOLUME = {216},
      YEAR = {2007},
    NUMBER = {1},
     PAGES = {302--320},
   MRCLASS = {05B35 (32E20 32F17 52A99)},
  MRNUMBER = {2353258},
MRREVIEWER = {David\ G.\ Wagner},
       DOI = {10.1016/j.aim.2007.05.011},
       URL = {https://doi.org/10.1016/j.aim.2007.05.011},
}

@book {schneider2014convex,
    AUTHOR = {Schneider, Rolf},
     TITLE = {Convex bodies: the {B}runn-{M}inkowski theory},
    SERIES = {Encyclopedia of Mathematics and its Applications},
    VOLUME = {151},
   EDITION = {expanded},
 PUBLISHER = {Cambridge University Press, Cambridge},
      YEAR = {2014},
     PAGES = {xxii+736},
   MRCLASS = {52-02 (52A20 52A39)},
  MRNUMBER = {3155183},
MRREVIEWER = {Andrea\ Colesanti},
}

@article {branden2020lorentzian,
    AUTHOR = {Br\"and\'en, 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 {matherne2024newton,
    AUTHOR = {Matherne, Jacob P. and Morales, Alejandro H. and Selover,
              Jesse},
     TITLE = {The {N}ewton polytope and {L}orentzian property of chromatic
              symmetric functions},
   JOURNAL = {Selecta Math. (N.S.)},
  FJOURNAL = {Selecta Mathematica. New Series},
    VOLUME = {30},
      YEAR = {2024},
    NUMBER = {3},
     PAGES = {Paper No. 42, 35},
   MRCLASS = {05E05 (05A20 05C15 06A07)},
  MRNUMBER = {4727772},
       DOI = {10.1007/s00029-024-00928-4},
       URL = {https://doi.org/10.1007/s00029-024-00928-4},
}

% By Yufei Zhao
@article {zhao2010number,
    AUTHOR = {Zhao, Yufei},
     TITLE = {The number of independent sets in a regular graph},
   JOURNAL = {Combin. Probab. Comput.},
  FJOURNAL = {Combinatorics, Probability and Computing},
    VOLUME = {19},
      YEAR = {2010},
    NUMBER = {2},
     PAGES = {315--320},
   MRCLASS = {05C69},
  MRNUMBER = {2593625},
MRREVIEWER = {Anders\ Sune\ Pedersen},
       DOI = {10.1017/S0963548309990538},
       URL = {https://doi.org/10.1017/S0963548309990538},
}

@article {zhao2011bipartite,
    AUTHOR = {Zhao, Yufei},
     TITLE = {The bipartite swapping trick on graph homomorphisms},
   JOURNAL = {SIAM J. Discrete Math.},
  FJOURNAL = {SIAM Journal on Discrete Mathematics},
    VOLUME = {25},
      YEAR = {2011},
    NUMBER = {2},
     PAGES = {660--680},
   MRCLASS = {05C60 (05C15 05C69)},
  MRNUMBER = {2817523},
MRREVIEWER = {Zhongyuan\ Che},
       DOI = {10.1137/100800415},
       URL = {https://doi.org/10.1137/100800415},
}

@article {zhao2017extremal,
    AUTHOR = {Zhao, Yufei},
     TITLE = {Extremal regular graphs: independent sets and graph
              homomorphisms},
   JOURNAL = {Amer. Math. Monthly},
  FJOURNAL = {American Mathematical Monthly},
    VOLUME = {124},
      YEAR = {2017},
    NUMBER = {9},
     PAGES = {827--843},
   MRCLASS = {05C35 (05C60 05C69)},
  MRNUMBER = {3722040},
MRREVIEWER = {W.\ G.\ Brown},
       DOI = {10.4169/amer.math.monthly.124.9.827},
       URL = {https://doi.org/10.4169/amer.math.monthly.124.9.827},
}

@article {sah2019number,
    AUTHOR = {Sah, Ashwin and Sawhney, Mehtaab and Stoner, David and Zhao,
              Yufei},
     TITLE = {The number of independent sets in an irregular graph},
   JOURNAL = {J. Combin. Theory Ser. B},
  FJOURNAL = {Journal of Combinatorial Theory. Series B},
    VOLUME = {138},
      YEAR = {2019},
     PAGES = {172--195},
   MRCLASS = {05C69 (05C30)},
  MRNUMBER = {3979229},
       DOI = {10.1016/j.jctb.2019.01.007},
       URL = {https://doi.org/10.1016/j.jctb.2019.01.007},
}

@article {sah2020reverse,
    AUTHOR = {Sah, Ashwin and Sawhney, Mehtaab and Stoner, David and Zhao,
              Yufei},
     TITLE = {A reverse {S}idorenko inequality},
   JOURNAL = {Invent. Math.},
  FJOURNAL = {Inventiones Mathematicae},
    VOLUME = {221},
      YEAR = {2020},
    NUMBER = {2},
     PAGES = {665--711},
   MRCLASS = {05C60 (05C22)},
  MRNUMBER = {4121160},
MRREVIEWER = {J\'ozsef\ Balogh},
       DOI = {10.1007/s00222-020-00956-9},
       URL = {https://doi.org/10.1007/s00222-020-00956-9},
}

% By Nima Anari et al.
@article {anari2021logconcave1,
    AUTHOR = {Anari, Nima and Gharan, Shayan Oveis and Vinzant, Cynthia},
     TITLE = {Log-concave polynomials, {I}: entropy and a deterministic
              approximation algorithm for counting bases of matroids},
   JOURNAL = {Duke Math. J.},
  FJOURNAL = {Duke Mathematical Journal},
    VOLUME = {170},
      YEAR = {2021},
    NUMBER = {16},
     PAGES = {3459--3504},
   MRCLASS = {05B35 (14C25 68W25 90C25)},
  MRNUMBER = {4332671},
       DOI = {10.1215/00127094-2020-0091},
}

@article {anari2024logconcave2,
    AUTHOR = {Anari, Nima and Liu, Kuikui and Oveis Gharan, Shayan and
              Vinzant, Cynthia},
     TITLE = {Log-concave polynomials {II}: {H}igh-dimensional walks and an
              {FPRAS} for counting bases of a matroid},
   JOURNAL = {Ann. of Math. (2)},
  FJOURNAL = {Annals of Mathematics. Second Series},
    VOLUME = {199},
      YEAR = {2024},
    NUMBER = {1},
     PAGES = {259--299},
   MRCLASS = {68Q87 (60J10 68W20 68W25)},
  MRNUMBER = {4681146},
MRREVIEWER = {Yuzhou\ Gu},
       DOI = {10.4007/annals.2024.199.1.4},
}

@article {anari2024logconcave3,
    AUTHOR = {Anari, Nima and Liu, Kuikui and Oveis Gharan, Shayan and
              Vinzant, Cynthia},
     TITLE = {Log-concave polynomials {III}: {M}ason's ultra-log-concavity
              conjecture for independent sets of matroids},
   JOURNAL = {Proc. Amer. Math. Soc.},
  FJOURNAL = {Proceedings of the American Mathematical Society},
    VOLUME = {152},
      YEAR = {2024},
    NUMBER = {5},
     PAGES = {1969--1981},
   MRCLASS = {05B35 (05A20 52A41)},
  MRNUMBER = {4728467},
       DOI = {10.1090/proc/16724},
}