% This is an example bibliography file for FPSAC submissions.

@article {Abr-Nig:21,
    AUTHOR = {Abreu, Alex and Nigro, Antonio},
     TITLE = {Chromatic symmetric functions from the modular law},
   JOURNAL = {J. Combin. Theory Ser. A},
  FJOURNAL = {Journal of Combinatorial Theory. Series A},
    VOLUME = {180},
      YEAR = {2021},
     PAGES = {Paper No. 105407, 30 pp.},
   MRCLASS = {05E05 (05C15)},
  MRNUMBER = {4199388},
MRREVIEWER = {Houyi\ Yu},
       DOI = {10.1016/j.jcta.2021.105407},
       URL = {https://doi.org/10.1016/j.jcta.2021.105407},
}

@misc{Abr-Nig:23,
      title={Splitting the cohomology of Hessenberg varieties and e-positivity of chromatic symmetric functions}, 
      author={Alex Abreu and Antonio Nigro},
      year={2023},
      eprint={2304.10644},
      archivePrefix={arXiv},
      primaryClass={math.AG}, 
}

@article {Ale-Pan:18,
    AUTHOR = {Alexandersson, Per and Panova, Greta},
     TITLE = {L{LT} polynomials, chromatic quasisymmetric functions and
              graphs with cycles},
   JOURNAL = {Discrete Math.},
  FJOURNAL = {Discrete Mathematics},
    VOLUME = {341},
      YEAR = {2018},
    NUMBER = {12},
     PAGES = {3453--3482},
   MRCLASS = {05E05 (05A15)},
  MRNUMBER = {3862644},
MRREVIEWER = {Zhicong\ Lin},
       DOI = {10.1016/j.disc.2018.09.001},
       URL = {https://doi.org/10.1016/j.disc.2018.09.001},
}

@misc{Ban-Cel-Cha-Col-Gof-Kim-Kim-Len-Lia-Sun:24,
      title={The $e$-positivity of the chromatic symmetric function for twinned paths and cycles}, 
      author={Esther Banaian and Kyle Celano and Megan Chang-Lee and Laura Colmenarejo and Owen Goff and Jamie Kimble and Lauren Kimpel and John Lentfer and Jinting Liang and Sheila Sundaram},
      year={2024},
      eprint={2405.17649},
      archivePrefix={arXiv},
      primaryClass={math.CO},
}

@incollection {Bei-Ber-Del:81,
    AUTHOR = {Be\u{\i}linson, A. A. and Bernstein, J. and Deligne, P.},
     TITLE = {Faisceaux pervers},
 BOOKTITLE = {Analysis and topology on singular spaces, {I} ({L}uminy,
              1981)},
    SERIES = {Ast\'erisque},
    VOLUME = {100},
     PAGES = {5--171},
 PUBLISHER = {Soc. Math. France, Paris},
      YEAR = {1982},
   MRCLASS = {32C38},
  MRNUMBER = {751966},
MRREVIEWER = {Zoghman\ Mebkhout},
}

@article {Bro-Cho:18,
    AUTHOR = {Brosnan, Patrick and Chow, Timothy Y.},
     TITLE = {Unit interval orders and the dot action on the cohomology of
              regular semisimple {H}essenberg varieties},
   JOURNAL = {Adv. Math.},
  FJOURNAL = {Advances in Mathematics},
    VOLUME = {329},
      YEAR = {2018},
     PAGES = {955--1001},
   MRCLASS = {05E05 (14M15)},
  MRNUMBER = {3783432},
MRREVIEWER = {Marko\ Radovanovi\'c},
       DOI = {10.1016/j.aim.2018.02.020},
       URL = {https://doi.org/10.1016/j.aim.2018.02.020},
}

@misc{Ell:17,
      title={A directed graph generalization of chromatic quasisymmetric functions}, 
      author={Brittney Ellzey},
      year={2017},
      eprint={1709.00454},
      archivePrefix={arXiv},
      primaryClass={math.CO}, 
}

@article {Car-Mel:18,
    AUTHOR = {Carlsson, Erik and Mellit, Anton},
     TITLE = {A proof of the shuffle conjecture},
   JOURNAL = {J. Amer. Math. Soc.},
  FJOURNAL = {Journal of the American Mathematical Society},
    VOLUME = {31},
      YEAR = {2018},
    NUMBER = {3},
     PAGES = {661--697},
   MRCLASS = {05E10 (05E05 33D52)},
  MRNUMBER = {3787405},
MRREVIEWER = {Tanja\ Stojadinovi\'c},
       DOI = {10.1090/jams/893},
       URL = {https://doi.org/10.1090/jams/893},
}

@article {Cho-Hon:22,
    AUTHOR = {Cho, Soojin and Hong, Jaehyun},
     TITLE = {Positivity of chromatic symmetric functions associated with
              {H}essenberg functions of bounce number 3},
   JOURNAL = {Electron. J. Combin.},
  FJOURNAL = {Electronic Journal of Combinatorics},
    VOLUME = {29},
      YEAR = {2022},
    NUMBER = {2},
     PAGES = {Paper No. 2.19, 37 pp.},
   MRCLASS = {05E05 (05C15 05C25)},
  MRNUMBER = {4417181},
MRREVIEWER = {Sam\ Hopkins},
       DOI = {10.37236/10843},
       URL = {https://doi.org/10.37236/10843},
}

@article {Cho-Huh:19,
    AUTHOR = {Cho, Soojin and Huh, Jisun},
     TITLE = {On {$e$}-positivity and {$e$}-unimodality of chromatic
              quasi-symmetric functions},
   JOURNAL = {SIAM J. Discrete Math.},
  FJOURNAL = {SIAM Journal on Discrete Mathematics},
    VOLUME = {33},
      YEAR = {2019},
    NUMBER = {4},
     PAGES = {2286--2315},
   MRCLASS = {05E05 (05C15 05C25)},
  MRNUMBER = {4033687},
MRREVIEWER = {Marko\ Radovanovi\'c},
       DOI = {10.1137/18M1216201},
       URL = {https://doi.org/10.1137/18M1216201},
}

@misc{Dah:18,
      title={Triangular Ladders $P_{d,2}$ are $e$-positive}, 
      author={Samantha Dahlberg},
      year={2019},
      eprint={1811.04885},
      archivePrefix={arXiv},
      primaryClass={math.CO}, 
}

@article {Dah-Wil:18,
    AUTHOR = {Dahlberg, Samantha and van Willigenburg, Stephanie},
     TITLE = {Lollipop and lariat symmetric functions},
   JOURNAL = {SIAM J. Discrete Math.},
  FJOURNAL = {SIAM Journal on Discrete Mathematics},
    VOLUME = {32},
      YEAR = {2018},
    NUMBER = {2},
     PAGES = {1029--1039},
   MRCLASS = {05E05 (05C15 05C25)},
  MRNUMBER = {3799051},
MRREVIEWER = {Marko\ Radovanovi\'c},
       DOI = {10.1137/17M1144805},
       URL = {https://doi.org/10.1137/17M1144805},
}

@article {Fol-Hoa-Ker:19,
    AUTHOR = {Foley, Ang\`ele M. and Ho\`ang, Ch\'inh T. and Merkel, Owen
              D.},
     TITLE = {Classes of graphs with {$e$}-positive chromatic symmetric
              function},
   JOURNAL = {Electron. J. Combin.},
  FJOURNAL = {Electronic Journal of Combinatorics},
    VOLUME = {26},
      YEAR = {2019},
    NUMBER = {3},
     PAGES = {Paper No. 3.51, 19 pp.},
   MRCLASS = {05E05 (05C15)},
  MRNUMBER = {4014621},
MRREVIEWER = {Timothy\ Y.\ Chow},
       DOI = {10.37236/8211},
       URL = {https://doi.org/10.37236/8211},
}


@article {Li-Yan:21,
    AUTHOR = {Li, Grace M. X. and Yang, Arthur L. B.},
     TITLE = {On the {$e$}-positivity of {$(claw,2K_2)$}-free graphs},
   JOURNAL = {Electron. J. Combin.},
  FJOURNAL = {Electronic Journal of Combinatorics},
    VOLUME = {28},
      YEAR = {2021},
    NUMBER = {2},
     PAGES = {Paper No. 2.40, 14 pp.},
   MRCLASS = {05E05 (05C15)},
  MRNUMBER = {4281206},
MRREVIEWER = {Logan\ Crew},
       DOI = {10.37236/9910},
       URL = {https://doi.org/10.37236/9910},
}

@misc{Gua:13,
      title={A modular relation for the chromatic symmetric functions of (3+1)-free posets}, 
      author={Mathieu Guay-Paquet},
      year={2013},
      eprint={1306.2400},
      archivePrefix={arXiv},
      primaryClass={math.CO}, 
}

@misc{Gua:16,
      title={A second proof of the Shareshian--Wachs conjecture, by way of a new Hopf algebra}, 
      author={Mathieu Guay-Paquet},
      year={2016},
      eprint={1601.05498},
      archivePrefix={arXiv},
      primaryClass={math.CO}, 
}

@article {Har-Pre:19,
    AUTHOR = {Harada, Megumi and Precup, Martha E.},
     TITLE = {The cohomology of abelian {H}essenberg varieties and the
              {S}tanley-{S}tembridge conjecture},
   JOURNAL = {Algebr. Comb.},
  FJOURNAL = {Algebraic Combinatorics},
    VOLUME = {2},
      YEAR = {2019},
    NUMBER = {6},
     PAGES = {1059--1108},
   MRCLASS = {14M15 (05E05)},
  MRNUMBER = {4049838},
MRREVIEWER = {Xin\ Fang},
       DOI = {10.5802/alco.76},
       URL = {https://doi.org/10.5802/alco.76},
}

@misc{Hik:24-1,
      title={A proof of the Stanley-Stembridge conjecture}, 
      author={Tatsuyuki Hikita},
      year={2024},
      eprint={2410.12758},
      archivePrefix={arXiv},
      primaryClass={math.CO}, 
}

@misc{Hik:24-2,
      title={$(q,t)$-chromatic symmetric functions}, 
      author={Tatsuyuki Hikita},
      year={2025},
      eprint={2503.23597},
      archivePrefix={arXiv},
      primaryClass={math.CO}, 
}

@article {Huh-Nam-Yoo:20,
    AUTHOR = {Huh, JiSun and Nam, Sun-Young and Yoo, Meesue},
     TITLE = {Melting lollipop chromatic quasisymmetric functions and
              {S}chur expansion of unicellular {LLT} polynomials},
   JOURNAL = {Discrete Math.},
  FJOURNAL = {Discrete Mathematics},
    VOLUME = {343},
      YEAR = {2020},
    NUMBER = {3},
     PAGES = {111728, 21},
   MRCLASS = {05E05 (05A15)},
  MRNUMBER = {4033624},
MRREVIEWER = {Houyi\ Yu},
       DOI = {10.1016/j.disc.2019.111728},
       URL = {https://doi.org/10.1016/j.disc.2019.111728},
}

@misc{Kat:23,
      title={A geometric realization of Catalan functions}, 
      author={Syu Kato},
      year={2024},
      eprint={2301.00862},
      archivePrefix={arXiv},
      primaryClass={math.AG}, 
}

@misc{Kat:24,
      title={A geometric realization of the chromatic symmetric function of a unit interval graph}, 
      author={Syu Kato},
      year={2024},
      eprint={2410.12231},
      archivePrefix={arXiv},
      primaryClass={math.CO}, 
}

@book {Mac:95,
    AUTHOR = {Macdonald, I. G.},
     TITLE = {Symmetric functions and {H}all polynomials},
    SERIES = {Oxford Mathematical Monographs},
   EDITION = {Second},
      NOTE = {With contributions by A. Zelevinsky,
              Oxford Science Publications},
 PUBLISHER = {The Clarendon Press, Oxford University Press, New York},
      YEAR = {1995},
     PAGES = {x+475},
   MRCLASS = {05E05 (05-02 20C30 20C33 20K01 33C80 33D80)},
  MRNUMBER = {1354144},
MRREVIEWER = {John\ R.\ Stembridge},
}

@misc{McD-Pyl-Wan:24,
      title={The Stanley-Stembridge Conjecture for $\bf 2 + 1 +1$-avoiding unit interval orders: a diagrammatic proof}, 
      author={Joseph McDonough and Pavlo Pylyavskyy and Shiyun Wang},
      year={2024},
      eprint={2404.07280},
      archivePrefix={arXiv},
      primaryClass={math.CO}, 
}

@article {Mir-Vil:07,
    AUTHOR = {Mirkovi\'c, I. and Vilonen, K.},
     TITLE = {Geometric {L}anglands duality and representations of algebraic
              groups over commutative rings},
   JOURNAL = {Ann. of Math. (2)},
  FJOURNAL = {Annals of Mathematics. Second Series},
    VOLUME = {166},
      YEAR = {2007},
    NUMBER = {1},
     PAGES = {95--143},
   MRCLASS = {22E55 (11R39 20G05)},
  MRNUMBER = {2342692},
MRREVIEWER = {Peter\ Fiebig},
       DOI = {10.4007/annals.2007.166.95},
       URL = {https://doi.org/10.4007/annals.2007.166.95},
}

@misc{Qi-Tan-Wan:24,
      title={Chromatic symmetric functions of conjoined graphs}, 
      author={E. Y. J. Qi and D. Q. B. Tang and D. G. L. Wang},
      year={2025},
      eprint={2406.01418},
      archivePrefix={arXiv},
      primaryClass={math.CO}, 
}

@incollection {Sha-Wac:12,
    AUTHOR = {Shareshian, John and Wachs, Michelle L.},
     TITLE = {Chromatic quasisymmetric functions and {H}essenberg varieties},
 BOOKTITLE = {Configuration spaces},
    SERIES = {CRM Series},
    VOLUME = {14},
     PAGES = {433--460},
 PUBLISHER = {Ed. Norm., Pisa},
      YEAR = {2012},
      ISBN = {978-88-7642-430-4; 978-88-7642-431-1},
   MRCLASS = {05E05 (14M25)},
  MRNUMBER = {3203651},
       DOI = {10.1007/978-88-7642-431-1\_20},
       URL = {https://doi.org/10.1007/978-88-7642-431-1_20},
}

@article {Sha-Wac:16,
    AUTHOR = {Shareshian, John and Wachs, Michelle L.},
     TITLE = {Chromatic quasisymmetric functions},
   JOURNAL = {Adv. Math.},
  FJOURNAL = {Advances in Mathematics},
    VOLUME = {295},
      YEAR = {2016},
     PAGES = {497--551},
   MRCLASS = {05E05 (14M15)},
  MRNUMBER = {3488041},
MRREVIEWER = {Meesue\ Yoo},
       DOI = {10.1016/j.aim.2015.12.018},
       URL = {https://doi.org/10.1016/j.aim.2015.12.018},
}

@article {Sta-Ste:93,
    AUTHOR = {Stanley, Richard P. and Stembridge, John R.},
     TITLE = {On immanants of {J}acobi-{T}rudi matrices and permutations
              with restricted position},
   JOURNAL = {J. Combin. Theory Ser. A},
  FJOURNAL = {Journal of Combinatorial Theory. Series A},
    VOLUME = {62},
      YEAR = {1993},
    NUMBER = {2},
     PAGES = {261--279},
   MRCLASS = {05E15 (20C30)},
  MRNUMBER = {1207737},
MRREVIEWER = {A.\ Kerber},
       DOI = {10.1016/0097-3165(93)90048-D},
       URL = {https://doi.org/10.1016/0097-3165(93)90048-D},
}


@article {Sta:95,
    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},
}

@misc{Tom:23,
      title={A signed $e$-expansion of the chromatic quasisymmetric function}, 
      author={Foster Tom},
      year={2024},
      eprint={2311.08020},
      archivePrefix={arXiv},
      primaryClass={math.CO}, 
}

@incollection {Tym:08,
    AUTHOR = {Tymoczko, Julianna S.},
     TITLE = {Permutation actions on equivariant cohomology of flag
              varieties},
 BOOKTITLE = {Toric topology},
    SERIES = {Contemp. Math.},
    VOLUME = {460},
     PAGES = {365--384},
 PUBLISHER = {Amer. Math. Soc., Providence, RI},
      YEAR = {2008},
   MRCLASS = {14M15 (14N15 20C30 55N91)},
  MRNUMBER = {2428368},
MRREVIEWER = {Christian\ Ohn},
       DOI = {10.1090/conm/460/09030},
       URL = {https://doi.org/10.1090/conm/460/09030},
}


@misc{Wan:22,
      title={The $e$-positivity of the chromatic symmetric functions and the inverse Kostka matrix}, 
      author={Shiyun Wang},
      year={2023},
      eprint={2210.07567},
      archivePrefix={arXiv},
      primaryClass={math.CO}, 
}