


@book {Oxley-2011,
    AUTHOR = {Oxley, James},
     TITLE = {Matroid theory},
    SERIES = {Oxford Graduate Texts in Mathematics},
    VOLUME = {21},
   EDITION = {Second},
 PUBLISHER = {Oxford University Press, Oxford},
      YEAR = {2011},
     PAGES = {xiv+684},
      ISBN = {978-0-19-960339-8},
   MRCLASS = {05-01 (05B35 90C27)},
  MRNUMBER = {2849819},
MRREVIEWER = {Maruti M. Shikare},
       DOI = {10.1093/acprof:oso/9780198566946.001.0001},
       URL = {https://doi.org/10.1093/acprof:oso/9780198566946.001.0001},
}



@article {Bonin-2024,
    AUTHOR = {Bonin, Joseph E.},
     TITLE = {A characterization of positroids, with applications to
              amalgams and excluded minors},
   JOURNAL = {European J. Combin.},
  FJOURNAL = {European Journal of Combinatorics},
    VOLUME = {122},
      YEAR = {2024},
     PAGES = {Paper No. 104040, 33},
      ISSN = {0195-6698},
   MRCLASS = {05B35},
  MRNUMBER = {4782415},
MRREVIEWER = {Martin Kochol},
       DOI = {10.1016/j.ejc.2024.104040},
       URL = {https://doi.org/10.1016/j.ejc.2024.104040},
}



@article {Bonin-Savitsky-2016,
    AUTHOR = {Bonin, Joseph E. and Savitsky, Thomas J.},
     TITLE = {An infinite family of excluded minors for strong
              base-orderability},
   JOURNAL = {Linear Algebra Appl.},
  FJOURNAL = {Linear Algebra and its Applications},
    VOLUME = {488},
      YEAR = {2016},
     PAGES = {396--429},
      ISSN = {0024-3795},
   MRCLASS = {05B35},
  MRNUMBER = {3419793},
       DOI = {10.1016/j.laa.2015.09.055},
       URL = {https://doi.org/10.1016/j.laa.2015.09.055},
}




@article {Chidiac-Hochstattler-2024,
    AUTHOR = {Chidiac, Lamar and Hochst\"{a}ttler, Winfried},
     TITLE = {Positroids are 3-colorable},
   JOURNAL = {Studia Sci. Math. Hungar.},
  FJOURNAL = {Studia Scientiarum Mathematicarum Hungarica. Combinatorics,
              Geometry and Topology (CoGeTo)},
    VOLUME = {61},
      YEAR = {2024},
    NUMBER = {2},
     PAGES = {147--160},
      ISSN = {0081-6906},
   MRCLASS = {05C15},
  MRNUMBER = {4815460},
MRREVIEWER = {Shaopu Zhang},
}


@article {Geelen-Nelson-2010,
    AUTHOR = {Geelen, Jim and Nelson, Peter},
     TITLE = {The number of points in a matroid with no {$n$}-point line as
              a minor},
   JOURNAL = {J. Combin. Theory Ser. B},
  FJOURNAL = {Journal of Combinatorial Theory. Series B},
    VOLUME = {100},
      YEAR = {2010},
    NUMBER = {6},
     PAGES = {625--630},
      ISSN = {0095-8956},
   MRCLASS = {05B35 (05C83 51A45)},
  MRNUMBER = {2718682},
MRREVIEWER = {Stefan H. M. van Zwam},
       DOI = {10.1016/j.jctb.2010.06.001},
       URL = {https://doi.org/10.1016/j.jctb.2010.06.001},
}



@article {Geelen-Nelson-Walsh-2024,
    AUTHOR = {Geelen, Jim and Nelson, Peter and Walsh, Zach},
     TITLE = {Excluding a line from complex-representable matroids},
   JOURNAL = {Mem. Amer. Math. Soc.},
  FJOURNAL = {Memoirs of the American Mathematical Society},
    VOLUME = {303},
      YEAR = {2024},
    NUMBER = {1523},
     PAGES = {v+91},
      ISSN = {0065-9266},
      ISBN = {978-1-4704-7187-3; 978-1-4704-7992-3},
   MRCLASS = {05B35},
  MRNUMBER = {4837615},
MRREVIEWER = {Joseph E. Bonin},
       DOI = {10.1090/memo/1523},
       URL = {https://doi.org/10.1090/memo/1523},
}



@article {Ingleton-Piff-1973,
    AUTHOR = {Ingleton, A. W. and Piff, M. J.},
     TITLE = {Gammoids and transversal matroids},
   JOURNAL = {J. Combinatorial Theory Ser. B},
  FJOURNAL = {Journal of Combinatorial Theory. Series B},
    VOLUME = {15},
      YEAR = {1973},
     PAGES = {51--68},
      ISSN = {0095-8956},
   MRCLASS = {05B35},
  MRNUMBER = {329936},
MRREVIEWER = {D. J. A. Welsh},
       DOI = {10.1016/0095-8956(73)90031-2},
       URL = {https://doi.org/10.1016/0095-8956(73)90031-2},
}




@article {Kung-1988,
    AUTHOR = {Kung, Joseph P. S.},
     TITLE = {The long-line graph of a combinatorial geometry. {I}.
              {E}xcluding {$M(K_4)$} and the {$(q+2)$}-point line as minors},
   JOURNAL = {Quart. J. Math. Oxford Ser. (2)},
  FJOURNAL = {The Quarterly Journal of Mathematics. Oxford. Second Series},
    VOLUME = {39},
      YEAR = {1988},
    NUMBER = {154},
     PAGES = {223--234},
      ISSN = {0033-5606},
   MRCLASS = {51D20 (05C35)},
  MRNUMBER = {947503},
MRREVIEWER = {J. Andr\'{e}},
       DOI = {10.1093/qmath/39.2.223},
       URL = {https://doi.org/10.1093/qmath/39.2.223},
}



@incollection {Kung-1993,
    AUTHOR = {Kung, Joseph P. S.},
     TITLE = {Extremal matroid theory},
 BOOKTITLE = {Graph structure theory ({S}eattle, {WA}, 1991)},
    SERIES = {Contemp. Math.},
    VOLUME = {147},
     PAGES = {21--61},
 PUBLISHER = {Amer. Math. Soc., Providence, RI},
      YEAR = {1993},
   MRCLASS = {05B35 (06C10)},
  MRNUMBER = {1224696},
MRREVIEWER = {James G. Oxley},
       DOI = {10.1090/conm/147/01164},
       URL = {https://doi.org/10.1090/conm/147/01164},
}



@article {Mason-1972,
    AUTHOR = {Mason, J. H.},
     TITLE = {On a class of matroids arising from paths in graphs},
   JOURNAL = {Proc. London Math. Soc. (3)},
  FJOURNAL = {Proceedings of the London Mathematical Society. Third Series},
    VOLUME = {25},
      YEAR = {1972},
     PAGES = {55--74},
      ISSN = {0024-6115},
   MRCLASS = {05B35},
  MRNUMBER = {311496},
MRREVIEWER = {George W. Dinolt},
       DOI = {10.1112/plms/s3-25.1.55},
       URL = {https://doi.org/10.1112/plms/s3-25.1.55},
}



@article {Oxley-1987,
    AUTHOR = {Oxley, James G.},
     TITLE = {A characterization of the ternary matroids with no
              {$M(K_4)$}-minor},
   JOURNAL = {J. Combin. Theory Ser. B},
  FJOURNAL = {Journal of Combinatorial Theory. Series B},
    VOLUME = {42},
      YEAR = {1987},
    NUMBER = {2},
     PAGES = {212--249},
      ISSN = {0095-8956},
   MRCLASS = {05B35},
  MRNUMBER = {884255},
MRREVIEWER = {Ulrich Faigle},
       DOI = {10.1016/0095-8956(87)90041-4},
       URL = {https://doi.org/10.1016/0095-8956(87)90041-4},
}



@article {Pendavingh-vanderPol-2015,
    AUTHOR = {Pendavingh, R. A. and van der Pol, J. G.},
     TITLE = {Counting matroids in minor-closed classes},
   JOURNAL = {J. Combin. Theory Ser. B},
  FJOURNAL = {Journal of Combinatorial Theory. Series B},
    VOLUME = {111},
      YEAR = {2015},
     PAGES = {126--147},
      ISSN = {0095-8956},
   MRCLASS = {05B35},
  MRNUMBER = {3315602},
MRREVIEWER = {Eva Ferrara Dentice},
       DOI = {10.1016/j.jctb.2014.10.001},
       URL = {https://doi.org/10.1016/j.jctb.2014.10.001},
}



@article {Quail-Rombach-2025,
    AUTHOR = {Quail, Jeremy and Rombach, Puck},
     TITLE = {Positroid envelopes and graphic positroids},
   JOURNAL = {Comb. Theory},
  FJOURNAL = {Combinatorial Theory},
    VOLUME = {5},
      YEAR = {2025},
    NUMBER = {3},
     PAGES = {Paper No. 1, 31},
      ISBN = {},
   MRCLASS = {05B35},
  MRNUMBER = {4962115},
}



@article {Sims-1977,
    AUTHOR = {Sims, Julie A.},
     TITLE = {A complete class of matroids},
   JOURNAL = {Quart. J. Math. Oxford Ser. (2)},
  FJOURNAL = {The Quarterly Journal of Mathematics. Oxford. Second Series},
    VOLUME = {28},
      YEAR = {1977},
    NUMBER = {112},
     PAGES = {449--451},
      ISSN = {0033-5606},
   MRCLASS = {05B35},
  MRNUMBER = {485464},
MRREVIEWER = {Thomas Brylawski},
       DOI = {10.1093/qmath/28.4.449},
       URL = {https://doi.org/10.1093/qmath/28.4.449},
}



@article {vanderPol-2023,
    AUTHOR = {van der Pol, Jorn},
     TITLE = {Almost every matroid has an {$M(K_4)$}- or a
              {$\mathcal{W}^3$}-minor},
   JOURNAL = {Electron. J. Combin.},
  FJOURNAL = {Electronic Journal of Combinatorics},
    VOLUME = {30},
      YEAR = {2023},
    NUMBER = {4},
     PAGES = {Paper No. 4.23, 10},
   MRCLASS = {05B35 (05A16)},
  MRNUMBER = {4668198},
MRREVIEWER = {Andr\'{a}s Recski},
       DOI = {10.37236/11946},
       URL = {https://doi.org/10.37236/11946},
}



@article {Brylawski-1971,
    AUTHOR = {Brylawski, Thomas H.},
     TITLE = {A combinatorial model for series-parallel networks},
   JOURNAL = {Trans. Amer. Math. Soc.},
  FJOURNAL = {Transactions of the American Mathematical Society},
    VOLUME = {154},
      YEAR = {1971},
     PAGES = {1--22},
      ISSN = {0002-9947},
   MRCLASS = {05.35 (50.00)},
  MRNUMBER = {288039},
MRREVIEWER = {F. Harary},
       DOI = {10.2307/1995423},
       URL = {https://doi.org/10.2307/1995423},
}




@unpublished{Quail-2024,
  title =	 {Ternary and quaternary positroids},
  author =	 {J. Quail},
  note = {ar{X}iv:2403.06956},
  year =	 2024
}




@article {Blum-2001,
    AUTHOR = {Blum, Stefan},
     TITLE = {Base-sortable matroids and {K}oszulness of semigroup rings},
   JOURNAL = {European J. Combin.},
  FJOURNAL = {European Journal of Combinatorics},
    VOLUME = {22},
      YEAR = {2001},
    NUMBER = {7},
     PAGES = {937--951},
      ISSN = {0195-6698},
   MRCLASS = {05B35 (16S38)},
  MRNUMBER = {1857256},
MRREVIEWER = {M. Stef\u{a}nescu},
       DOI = {10.1006/eujc.2001.0516},
       URL = {https://doi.org/10.1006/eujc.2001.0516},
}

@misc{postnikov,
      title={Total positivity, Grassmannians, and networks}, 
      author={Alexander Postnikov},
      year={2006},
      eprint={math/0609764},
      archivePrefix={arXiv},
      primaryClass={math.CO},
      url={https://arxiv.org/abs/math/0609764}, 
}

@article{AHT,
  author       = {Nima Arkani-Hamed and Jaroslav Trnka},
  title        = {The Amplituhedron},
  journal      = {J. High Energy Phys.},
  year         = {2014},
  number       = {10},
  pages        = {030},
  doi          = {10.1007/JHEP10(2014)030},
  url          = {https://doi.org/10.1007/JHEP10(2014)030}
}

@article {Williams05,
    AUTHOR = {Williams, Lauren K.},
     TITLE = {Enumeration of totally positive {G}rassmann cells},
   JOURNAL = {Adv. Math.},
  FJOURNAL = {Advances in Mathematics},
    VOLUME = {190},
      YEAR = {2005},
    NUMBER = {2},
     PAGES = {319--342},
      ISSN = {0001-8708,1090-2082},
   MRCLASS = {05E15 (05A15 14M15)},
  MRNUMBER = {2102660},
MRREVIEWER = {Gregory\ S.\ Warrington},
       DOI = {10.1016/j.aim.2004.01.003},
       URL = {https://doi.org/10.1016/j.aim.2004.01.003},
}

@article {ARW16,
    AUTHOR = {Ardila, Federico and Rinc\'on, Felipe and Williams, Lauren},
     TITLE = {Positroids and non-crossing partitions},
   JOURNAL = {Trans. Amer. Math. Soc.},
  FJOURNAL = {Transactions of the American Mathematical Society},
    VOLUME = {368},
      YEAR = {2016},
    NUMBER = {1},
     PAGES = {337--363},
      ISSN = {0002-9947,1088-6850},
   MRCLASS = {05B35 (05A15 05A19 46L53)},
  MRNUMBER = {3413866},
MRREVIEWER = {Anna\ de Mier},
       DOI = {10.1090/tran/6331},
       URL = {https://doi.org/10.1090/tran/6331},
}


@unpublished{Park-2023,
  title =	 {Excluded minors of interval positroids that
are paving matroids},
  author =	 {H. Park},
  note = {ar{X}iv:2312.03525},
  year =	 2023
}


