@misc{nguyen2023Comparability,
    author={Son Nguyen and Andrew Sack},
    eprint={2310.00157},
    EPRINTTYPE = {arxiv},
    title={The poset associahedron $f$-vector is a comparability invariant}, 
    year={2023},
}

@misc{nguyen2023StackSorting,
    author={Son Nguyen and Andrew Sack},
    eprint={2310.02512},
    EPRINTTYPE = {arxiv},
    title={Poset Associahedra and Stack-sorting}, 
    year={2023},
}




@article{galashin2021poset,
  title={P-associahedra},
  author={Galashin, Pavel},
  journal={Selecta Mathematica},
  volume={30},
  number={1},
  pages={6},
  year={2024},
  publisher={Springer}
}


@misc{sack2023realization,
  title={A realization of poset associahedra},
  author={Sack, Andrew},
eprint={2301.11449},
 EPRINTTYPE = {arxiv},
  year={2023}
}


@article{gal2005real,
  title={Real root conjecture fails for five-and higher-dimensional spheres},
  author={Gal, Swiatoslaw R},
  journal={Discrete \& Computational Geometry},
  volume={34},
  pages={269--284},
  year={2005},
  publisher={Springer}
}




@article{postnikov2008faces,
  author={Postnikov, Alex and Reiner, Victor and Williams, Lauren},
  title={Faces of Generalized Permutohedra},
  journal={Documenta Mathematica},
  volume={13},
  pages={207--273},
  year={2008},
}


@book{knuth1973art,
  title={The art of computer programming},
  author={Knuth, Donald Ervin and others},
  volume={3},
  year={1973},
  publisher={Addison-Wesley Reading, MA}
}



@phdthesis{west1990permutations,
  title={Permutations with forbidden subsequences, and, stack-sortable permutations},
  author={West, Julian},
  year={1990},
  school={Massachusetts Institute of Technology}
}



@book{bona2022combinatorics,
  title={Combinatorics of permutations},
  author={B{\'o}na, Mikl{\'o}s},
  year={2022},
  publisher={CRC Press}
}



@article{branden2008actions,
  title={Actions on permutations and unimodality of descent polynomials},
  author={Br{\"a}nd{\'e}n, Petter},
  journal={European Journal of Combinatorics},
  volume={29},
  number={2},
  pages={514--531},
  year={2008},
  publisher={Elsevier}
}



@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}
}



@article{reiner1997non,
  title={Non-crossing partitions for classical reflection groups},
  author={Reiner, Victor},
  journal={Discrete Mathematics},
  volume={177},
  number={1-3},
  pages={195--222},
  year={1997},
  publisher={Elsevier}
}



@article{simion2003type,
  title={A type-B associahedron},
  author={Simion, Rodica},
  journal={Advances in Applied Mathematics},
  volume={30},
  number={1-2},
  pages={2--25},
  year={2003},
  publisher={Elsevier}
}



@article{dreesen1985comparability,
  title={Comparability invariance of the fixed point property},
  author={Dreesen, Bernhardine and Poguntke, Werner and Winkler, Peter},
  journal={Order},
  volume={2},
  pages={269--274},
  year={1985},
  publisher={Springer}
}



@article{trotter1976dimension,
  title={The dimension of a comparability graph},
  author={Trotter, William T and Moore, John I and Sumner, David P},
  journal={Proceedings of the American Mathematical Society},
  volume={60},
  number={1},
  pages={35--38},
  year={1976}
}



@article{stanley1986two,
  title={Two poset polytopes},
  author={Stanley, Richard P},
  journal={Discrete \& Computational Geometry},
  volume={1},
  number={1},
  pages={9--23},
  year={1986},
  publisher={Springer}
}