% This is an example bibliography file for FPSAC submissions.

@article{branden2015unimodality,
  title={Unimodality, log-concavity, real-rootedness and beyond},
  author={Br{\"a}nd{\'e}n, Petter},
  journal={Handbook of enumerative combinatorics},
  volume={87},
  pages={437},
  year={2015},
  publisher={CRC Press Boca Raton, FL}
}

@article{athanasiadis2022chain,
  title={Chain enumeration, partition lattices and polynomials with only real roots},
  author={Athanasiadis, Christos A and Kalampogia-Evangelinou, Katerina},
  journal={Combinatorial Theory},
  volume={3},
  number={1},
  year={2023}
}

@article{mayhew2011asymptotic,
  title={On the asymptotic proportion of connected matroids},
  author={Mayhew, Dillon and Newman, Mike and Welsh, Dominic and Whittle, Geoff},
  journal={European Journal of Combinatorics},
  volume={32},
  number={6},
  pages={882--890},
  year={2011},
  publisher={Elsevier}
}

@article{fisk2006polynomials,
  title={Polynomials, roots, and interlacing},
  author={Fisk, Steve},
  journal={arXiv preprint math/0612833},
  year={2006}
}

@article{branden2006linear,
  title={On linear transformations preserving the P{\'o}lya frequency property},
  author={Br{\"a}nd{\'e}n, Petter},
  journal={Transactions of the American Mathematical Society},
  volume={358},
  number={8},
  pages={3697--3716},
  year={2006}
}

@book{oxley2006matroid,
  title={Matroid theory},
  author={Oxley, James G},
  volume={3},
  year={2006},
  publisher={Oxford University Press, USA}
}

@article{stanley1991some,
  title={Some applications of algebra to combinatorics},
  author={Stanley, Richard P},
  journal={Discrete Applied Mathematics},
  volume={34},
  number={1-3},
  pages={241--277},
  year={1991},
  publisher={North-Holland}
}

@article{chajda2019lattice,
  title={The lattice of subspaces of a vector space over a finite field},
  author={Chajda, Ivan and L{\"a}nger, Helmut},
  journal={Soft Computing},
  volume={23},
  pages={3261--3267},
  year={2019},
  publisher={Springer}
}

@misc{athanasiadis2023two,
      AUTHOR = {Athanasiadis, Christos A and Kalampogia-Evangelinou, Katerina},
      EPRINT = {2307.04839},
  EPRINTTYPE = {arXiv},
       TITLE = {Two classes of posets with real-rooted chain polynomials},
        YEAR = {2023}
}

@book{stanley2011enumerative,
  title={Enumerative Combinatorics Volume 1 second edition},
  author={Stanley, Richard P},
  journal={Cambridge studies in advanced mathematics},
  year={2011},
  publisher={Cambridge University Press}
}

@article{walkup1976polya,
  title={P{\'o}lya sequences, binomial convolution and the union of random sets},
  author={Walkup, David W},
  journal={Journal of Applied Probability},
  volume={13},
  number={1},
  pages={76--85},
  year={1976},
  publisher={Cambridge University Press}
}

@article{merino2012tutte,
  title={The Tutte polynomial of some matroids},
  author={Merino, Criel and Ram{\'\i}rez-Ib{\'a}{\~n}ez, Marcelino and Rodr{\'\i}guez-S{\'a}nchez, Guadalupe},
  journal={International Journal of Combinatorics},
  volume={2012},
  year={2012},
  publisher={Hindawi}
}

@article{brenti2008f,
  title={f-Vectors of barycentric subdivisions},
  author={Brenti, Francesco and Welker, Volkmar},
  journal={Mathematische Zeitschrift},
  volume={259},
  pages={849--865},
  year={2008},
  publisher={Springer}
}

@article{athanasiadis2021face,
  title={Face numbers of barycentric subdivisions of cubical complexes},
  author={Athanasiadis, Christos A},
  journal={Israel Journal of Mathematics},
  volume={246},
  pages={423--439},
  year={2021},
  publisher={Springer}
}

@article{stanley1998graph,
  title={Graph colorings and related symmetric functions: ideas and applications a description of results, interesting applications, \& notable open problems},
  author={Stanley, Richard P},
  journal={Discrete Mathematics},
  volume={193},
  number={1-3},
  pages={267--286},
  year={1998},
  publisher={Elsevier}
}

@article{elias2016kazhdan,
  title={The Kazhdan--Lusztig polynomial of a matroid},
  author={Elias, Ben and Proudfoot, Nicholas and Wakefield, Max},
  journal={Advances in Mathematics},
  volume={299},
  pages={36--70},
  year={2016},
  publisher={Elsevier}
}

@article{ferroni2022valuative,
  title={Valuative invariants for large classes of matroids},
  author={Ferroni, Luis and Schr{\"o}ter, Benjamin},
  eprint={2208.04893},
  year={2022}
}

@article{gedeon2016kazhdan,
  title={Kazhdan-Lusztig polynomials of matroids: a survey of results and conjectures},
  author={Gedeon, Katie and Proudfoot, Nicholas and Young, Benjamin},
  journal={S eminare Lotharingien Combinatoire 78B},
  year={2017}
}

@phdthesis{stevens2021real,
  title={Real-rootedness conjectures in matroid theory},
  author={Stevens, Matthew},
  year={2021},
  school={Stanford University},
}

@inproceedings{huh2022combinatorics,
  title={Combinatorics and Hodge theory},
  author={Huh, June},
  booktitle={Proc. Int. Cong. Math},
  volume={1},
  year={2022}
}

@article{brenti1989,
    author = {Francesco Brenti},
    title = {Unimodal, log-concave and Pólya frequency sequences in combinatorics},
    journal = {Memoirs of the American Mathematical Society},
    volume = {81},
    number = {413},
    pages={viii-106},
    year = {1989}
}

@article{wagner1992enumeration,
  title={Enumeration of functions from posets to chains},
  author={Wagner, David G},
  journal={European journal of combinatorics},
  volume={13},
  number={4},
  pages={313--324},
  year={1992},
  publisher={Elsevier}
}

@article{stembridge2007counterexamples,
  title={Counterexamples to the poset conjectures of Neggers, Stanley, and Stembridge},
  author={Stembridge, John},
  journal={Transactions of the American Mathematical Society},
  volume={359},
  number={3},
  pages={1115--1128},
  year={2007}
}

@article{branden2004operators,
  title={On operators on polynomials preserving real-rootedness and the Neggers-Stanley conjecture},
  author={Br{\"a}nd{\'e}n, Petter},
  journal={Journal of Algebraic Combinatorics},
  volume={20},
  pages={119--130},
  year={2004},
  publisher={Springer}
}