@book {bjorner-brenti, AUTHOR = {Bj\"{o}rner, Anders and Brenti, Francesco}, TITLE = {Combinatorics of {C}oxeter groups}, SERIES = {Graduate Texts in Mathematics}, VOLUME = {231}, PUBLISHER = {Springer, New York}, YEAR = {2005}, PAGES = {xiv+363}, ISBN = {978-3540-442387; 3-540-44238-3}, MRCLASS = {05-01 (05E15 20F55)}, MRNUMBER = {2133266}, MRREVIEWER = {Jian-yi Shi}, } @incollection {Abrego, AUTHOR = {\'{A}brego, Bernardo M. and Fern\'{a}ndez-Merchant, Silvia and Lea\~{n}os, Jes\'{u}s and Salazar, Gelasio}, TITLE = {The maximum number of halving lines and the rectilinear crossing number of {$K_n$} for {$n\le 27$}}, BOOKTITLE = {The {IV} {L}atin-{A}merican {A}lgorithms, {G}raphs, and {O}ptimization {S}ymposium}, SERIES = {Electron. Notes Discrete Math.}, VOLUME = {30}, PAGES = {261--266}, PUBLISHER = {Elsevier Sci. B. V., Amsterdam}, YEAR = {2008}, MRCLASS = {05C10}, MRNUMBER = {2570650}, DOI = {10.1016/j.endm.2008.01.045}, URL = {https://doi.org/10.1016/j.endm.2008.01.045}, } @article {Lovasz, AUTHOR = {Lov\'{a}sz, L.}, TITLE = {On the number of halving lines}, JOURNAL = {Ann. Univ. Sci. Budapest. E\"{o}tv\"{o}s Sect. Math.}, FJOURNAL = {Annales Universitatis Scientiarum Budapestinensis de Rolando E\"{o}tv\"{o}s Nominatae. Sectio Mathematica}, VOLUME = {14}, YEAR = {1971}, PAGES = {107--108 (1972)}, ISSN = {0524-9007}, MRCLASS = {05C99}, MRNUMBER = {340111}, MRREVIEWER = {E. G. Straus}, } @inproceedings {Erdos, AUTHOR = {Erd\H{o}s, P. and Lov\'{a}sz, L. and Simmons, A. and Straus, E. G.}, TITLE = {Dissection graphs of planar point sets}, BOOKTITLE = {A survey of combinatorial theory ({P}roc. {I}nternat. {S}ympos., {C}olorado {S}tate {U}niv., {F}ort {C}ollins, {C}olo., 1971)}, PAGES = {139--149}, YEAR = {1973}, MRCLASS = {05C20}, MRNUMBER = {0363986}, MRREVIEWER = {A. C. Shershin}, } @incollection {Dey, AUTHOR = {Dey, T. K.}, TITLE = {Improved bounds for planar {$k$}-sets and related problems}, NOTE = {Dedicated to the memory of Paul Erd\H{o}s}, JOURNAL = {Discrete Comput. Geom.}, FJOURNAL = {Discrete \& Computational Geometry. An International Journal of Mathematics and Computer Science}, VOLUME = {19}, YEAR = {1998}, NUMBER = {3, Special Issue}, PAGES = {373--382}, ISSN = {0179-5376}, MRCLASS = {52A37 (52B30 52B55 52C10)}, MRNUMBER = {1608878}, DOI = {10.1007/PL00009354}, URL = {https://doi.org/10.1007/PL00009354}, } @article {Edelman, AUTHOR = {Edelman, Paul H.}, TITLE = {On the average number of {$k$}-sets}, JOURNAL = {Discrete Comput. Geom.}, FJOURNAL = {Discrete \& Computational Geometry. An International Journal of Mathematics and Computer Science}, VOLUME = {8}, YEAR = {1992}, NUMBER = {2}, PAGES = {209--213}, ISSN = {0179-5376}, MRCLASS = {52C10}, MRNUMBER = {1162394}, MRREVIEWER = {Rade \v{Z}ivaljevi\'{c}}, DOI = {10.1007/BF02293044}, URL = {https://doi.org/10.1007/BF02293044}, } @article {Edelman-Greene, AUTHOR = {Edelman, Paul and Greene, Curtis}, TITLE = {Balanced tableaux}, JOURNAL = {Adv. in Math.}, FJOURNAL = {Advances in Mathematics}, VOLUME = {63}, YEAR = {1987}, NUMBER = {1}, PAGES = {42--99}, ISSN = {0001-8708}, MRCLASS = {05A17 (20B30 20C30)}, MRNUMBER = {871081}, MRREVIEWER = {Joseph Kung}, DOI = {10.1016/0001-8708(87)90063-6}, URL = {https://doi.org/10.1016/0001-8708(87)90063-6}, } @inproceedings {Postnikov-icm, AUTHOR = {Postnikov, Alexander}, TITLE = {Positive {G}rassmannian and polyhedral subdivisions}, BOOKTITLE = {Proceedings of the {I}nternational {C}ongress of {M}athematicians---{R}io de {J}aneiro 2018. {V}ol. {IV}. {I}nvited lectures}, PAGES = {3181--3211}, PUBLISHER = {World Sci. Publ., Hackensack, NJ}, YEAR = {2018}, MRCLASS = {05E18 (05B35 13F60 52B12 52B70)}, MRNUMBER = {3966528}, } @article {Angel, AUTHOR = {Angel, Omer and Holroyd, Alexander E. and Romik, Dan and Vir\'{a}g, B\'{a}lint}, TITLE = {Random sorting networks}, JOURNAL = {Adv. Math.}, FJOURNAL = {Advances in Mathematics}, VOLUME = {215}, YEAR = {2007}, NUMBER = {2}, PAGES = {839--868}, ISSN = {0001-8708}, MRCLASS = {60C05 (05C25 05E10 68P10)}, MRNUMBER = {2355610}, MRREVIEWER = {Yoshiharu Kohayakawa}, DOI = {10.1016/j.aim.2007.05.019}, URL = {https://doi.org/10.1016/j.aim.2007.05.019}, }