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@article{Oh,
	Author = {Oh, Suho},
	Date-Added = {2019-05-16 08:28:15 +0300},
	Date-Modified = {2019-05-16 08:28:28 +0300},
	Doi = {10.1016/j.jcta.2011.06.006},
	Fjournal = {Journal of Combinatorial Theory. Series A},
	Issn = {0097-3165},
	Journal = {J. Combin. Theory Ser. A},
	Mrclass = {05B35 (52B40)},
	Mrnumber = {2834184},
	Mrreviewer = {Anna de Mier},
	Number = {8},
	Pages = {2426--2435},
	Title = {Positroids and {S}chubert matroids},
	Volume = {118},
	Year = {2011},
	Bdsk-Url-1 = {https://doi-org.ezp.lib.unimelb.edu.au/10.1016/j.jcta.2011.06.006},
	Bdsk-Url-2 = {https://doi.org/10.1016/j.jcta.2011.06.006}}

@article{kodama,
	Author = {Kodama, Yuji and Williams, Lauren},
	Date-Added = {2019-05-16 08:25:47 +0300},
	Date-Modified = {2019-05-16 08:25:56 +0300},
	Doi = {10.1007/s00222-014-0506-3},
	Fjournal = {Inventiones Mathematicae},
	Issn = {0020-9910},
	Journal = {Invent. Math.},
	Mrclass = {35Q53 (13F60 35C08)},
	Mrnumber = {3279534},
	Mrreviewer = {Amin Esfahani},
	Number = {3},
	Pages = {637--699},
	Title = {K{P} solitons and total positivity for the {G}rassmannian},
	Volume = {198},
	Year = {2014},
	Bdsk-Url-1 = {https://doi-org.ezp.lib.unimelb.edu.au/10.1007/s00222-014-0506-3},
	Bdsk-Url-2 = {https://doi.org/10.1007/s00222-014-0506-3}}

@article{greene,
	Author = {Greene, Tom},
	Date-Added = {2019-05-16 08:23:11 +0300},
	Date-Modified = {2019-05-16 08:23:22 +0300},
	Doi = {10.1016/0012-365X(91)90044-3},
	Fjournal = {Discrete Mathematics},
	Issn = {0012-365X},
	Journal = {Discrete Math.},
	Mrclass = {05B35},
	Mrnumber = {1091588},
	Mrreviewer = {Dragan M. Acketa},
	Number = {2},
	Pages = {149--161},
	Title = {Descriptively sufficient subcollections of flats in matroids},
	Volume = {87},
	Year = {1991},
	Bdsk-Url-1 = {https://doi-org.ezp.lib.unimelb.edu.au/10.1016/0012-365X(91)90044-3},
	Bdsk-Url-2 = {https://doi.org/10.1016/0012-365X(91)90044-3}}

@article{Gale,
	Author = {Gale, David},
	Date-Added = {2019-05-16 08:21:52 +0300},
	Date-Modified = {2019-05-16 08:21:57 +0300},
	Journal = {J. Combinatorial Theory},
	Mrclass = {05.35 (90.00)},
	Mrnumber = {0227039},
	Mrreviewer = {A. Lehman},
	Pages = {176--180},
	Title = {Optimal assignments in an ordered set: {A}n application of matroid theory},
	Volume = {4},
	Year = {1968}}

@article{fomin,
	Author = {Fomin, Sergey and Zelevinsky, Andrei},
	Date-Added = {2019-05-16 08:20:26 +0300},
	Date-Modified = {2019-05-16 08:20:36 +0300},
	Doi = {10.1007/BF03024444},
	Fjournal = {The Mathematical Intelligencer},
	Issn = {0343-6993},
	Journal = {Math. Intelligencer},
	Mrclass = {15A48 (15A23 15A57 81R50)},
	Mrnumber = {1745560},
	Mrreviewer = {D. J. Hartfiel},
	Number = {1},
	Pages = {23--33},
	Title = {Total positivity: tests and parametrizations},
	Volume = {22},
	Year = {2000},
	Bdsk-Url-1 = {https://doi-org.ezp.lib.unimelb.edu.au/10.1007/BF03024444},
	Bdsk-Url-2 = {https://doi.org/10.1007/BF03024444}}

@article{ARW,
	Author = {Ardila, Federico and Rinc\'{o}n, Felipe and Williams, Lauren},
	Date-Added = {2019-05-16 08:16:43 +0300},
	Date-Modified = {2019-05-16 08:16:54 +0300},
	Doi = {10.1090/tran/6331},
	Fjournal = {Transactions of the American Mathematical Society},
	Issn = {0002-9947},
	Journal = {Trans. Amer. Math. Soc.},
	Mrclass = {05B35 (05A15 05A19 46L53)},
	Mrnumber = {3413866},
	Mrreviewer = {Anna de Mier},
	Number = {1},
	Pages = {337--363},
	Title = {Positroids and non-crossing partitions},
	Volume = {368},
	Year = {2016},
	Bdsk-Url-1 = {https://doi-org.ezp.lib.unimelb.edu.au/10.1090/tran/6331},
	Bdsk-Url-2 = {https://doi.org/10.1090/tran/6331}}

@article{Bonin,
	Author = {J. Bonin and A. Mier},
	Journal = {European Journal of Combinatorics},
	Number = {5},
	Pages = {701-738},
	Title = {Lattice path matroids: Structual properties},
	Volume = {27},
	Year = {(2006)}}

@book{BGW,
	Author = {Borovik, A. and Gelʹfand, I.M. and White, N.},
	Isbn = {9780817637644},
	Lccn = {2003045247},
	Publisher = {Birkh{\"a}user},
	Series = {Progress in Mathematics},
	Title = {Coxeter Matroids},
	Url = {https://books.google.com/books?id=moU\_AQAAIAAJ},
	Year = {2003},
	Bdsk-Url-1 = {https://books.google.com/books?id=moU%5C_AQAAIAAJ}}

@misc{Knutson,
	Author = {{Knutson}, A.},
	Date-Modified = {2019-05-16 08:24:19 +0300},
	Eprint = {1408.1261},
	Eprinttype = {arxiv},
	Title = {Schubert calculus and shifting of interval positroid varieties},
	Year = {2014}}

@article{Oh3333,
	Author = {S. Oh},
	Journal = {Discrete Mathematics and Theoretical Computer Science},
	Pages = {721-732},
	Title = {Combinatorics of Positroids},
	Year = {(2009)}}

@misc{Postnikov,
	Author = {{Postnikov}, A.},
	Date-Modified = {2019-05-16 08:30:00 +0300},
	Eprint = {math/0609764},
	Eprinttype = {arxiv},
	Title = {Total positivity, Grassmannians, and networks},
	Year = {2006}}

@misc{arkani,
	Author = {{Arkani-Hamed}, N. and {Bourjaily}, J.~L. and {Cachazo}, F. and {Goncharov}, A.~B. and {Postnikov}, A. and {Trnka}, J.},
	Date-Modified = {2019-05-16 08:17:46 +0300},
	Eprint = {1212.5605},
	Eprinttype = {arxiv},
	Title = {Scattering Amplitudes and the Positive Grassmannian},
	Year = {2012}}

@book{borovik,
	Author = {A.V. Borovik and I.M. Gelfand and N. White},
	Origyear = {2003},
	Publisher = {Birkh{\"a}user},
	Title = {Coxeter Matroids},
	Year = {2003}}

@article{Feichtner2005,
	Author = {E. Feichtner and B. Sturmfels},
	Date-Modified = {2019-05-16 08:18:25 +0300},
	Journal = {Portugaliae Mathematica. Nova S{\'e}rie},
	Number = {4},
	Pages = {437-468},
	Publisher = {European Mathematical Society Publishing House},
	Title = {Matroid polytopes, nested sets and Bergman fans.},
	Url = {http://eudml.org/doc/52519},
	Volume = {62},
	Year = {2005},
	Bdsk-Url-1 = {http://eudml.org/doc/52519}}

@book{Oxley,
	Author = {J. Oxley},
	Origyear = {1992},
	Publisher = {Oxford University Press},
	Title = {Matroid Theory},
	Year = {2011}}

@book{Schrijver,
	Added-At = {2007-07-05T16:17:35.000+0200},
	Author = {Schrijver, A.},
	Biburl = {https://www.bibsonomy.org/bibtex/2496d0012f9b295acbef270a129061375/jleny},
	Description = {bandit problems},
	Interhash = {dfbeb3a87380195540f44a10e9995230},
	Intrahash = {496d0012f9b295acbef270a129061375},
	Keywords = {imported},
	Publisher = {Springer},
	Timestamp = {2007-07-05T16:17:37.000+0200},
	Title = {Combinatorial Optimization - Polyhedra and Efficiency},
	Year = 2003}

@misc{LP,
	Author = {T. Lam and A. Postnikov},
	Date-Modified = {2019-05-16 08:26:44 +0300},
	Note = {In preparation},
	Title = {Polypositroids}}

@misc{EP,
	Author = {T. Lam},
	Date-Modified = {2019-05-16 08:26:14 +0300},
	Eprint = {1402.6261},
	Eprinttype = {arXiv},
	Title = {Electroid varieties and a compactification of the space of electrical networks},
	Year = {2014}}

@misc{OM,
	Author = {R. McAlmon and S. Oh},
	Date-Modified = {2019-05-16 08:27:00 +0300},
	Eprint = {1709.01580},
	Eprinttype = {arXiv},
	Title = {The rank function of a positroid and non-crossing partitions},
	Year = {2017}}

@misc{OX,
	Author = {S. Oh and D. Xiang},
	Date-Modified = {2019-05-16 08:28:44 +0300},
	Eprint = {1701.08483},
	Eprinttype = {arXiv},
	Title = {The facets of the matroid polytope and the independent set polytope of a positroid},
	Year = {2017}}

@article{CLOZ,
	Author = {B. Chen, A. Lu, S. Oh and C. Zhou},
	Journal = {in preparation},
	Title = {Flats of a positroid}}

@inproceedings{OY,
	Address = {San Francisco, United States},
	Author = {Oh, Suho and Yoo, Hwanchul},
	Booktitle = {{22nd International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2010)}},
	Editor = {Billey, Sara and Reiner, Victor},
	Hal_Id = {hal-01186263},
	Hal_Version = {v1},
	Keywords = {Bruhat order ; Schubert Variety ; Rational Smoothness ; Palidromic ; Hyperplanes ; Coxeter arrangement},
	Pages = {965-972},
	Pdf = {https://hal.inria.fr/hal-01186263/file/dmAN0173.pdf},
	Publisher = {{Discrete Mathematics and Theoretical Computer Science}},
	Series = {DMTCS Proceedings},
	Title = {{Bruhat order, rationally smooth Schubert varieties, and hyperplane arrangements}},
	Url = {https://hal.inria.fr/hal-01186263},
	Volume = {DMTCS Proceedings vol. AN, 22nd International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2010)},
	Year = {2010},
	Bdsk-Url-1 = {https://hal.inria.fr/hal-01186263}}