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Combin.}, FJOURNAL = {European Journal of Combinatorics}, VOLUME = {20}, YEAR = {1999}, NUMBER = {6}, PAGES = {483--505}, MRCLASS = {05E15 (20F55)}, MRNUMBER = {1703595}, DOI = {10.1006/eujc.1999.0296}, } @article {billey-jockusch-stanley, AUTHOR = {Billey, S.~C. and Jockusch, W. and Stanley, R.~P.}, TITLE = {Some combinatorial properties of {S}chubert polynomials}, eprint={}, JOURNAL = {J.~Algebr.~Comb}, FJOURNAL = {Journal of Algebraic Combinatorics}, VOLUME = {2}, YEAR = {1993}, PAGES = {345-374}, } @book {BB05, 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}, } @book {Sagan, AUTHOR = {Sagan, B. E.}, TITLE = {The symmetric group}, SERIES = {Graduate Texts in Mathematics}, VOLUME = {203}, EDITION = {Second}, NOTE = {Representations, combinatorial algorithms, and symmetric functions}, PUBLISHER = {Springer-Verlag, New York}, YEAR = {2001}, PAGES = {xvi+238}, ISBN = {0-387-95067-2}, MRCLASS = {05E10 (05E05 20C30)}, MRNUMBER = {1824028}, DOI = {10.1007/978-1-4757-6804-6}, } @article {GR08, AUTHOR = {Galambos, A. and Reiner, V.}, TITLE = {Acyclic sets of linear orders via the {B}ruhat orders}, JOURNAL = {Soc. Choice Welf.}, FJOURNAL = {Social Choice and Welfare}, VOLUME = {30}, YEAR = {2008}, NUMBER = {2}, PAGES = {245--264}, MRCLASS = {91B12 (91B08)}, MRNUMBER = {2372925}, MRREVIEWER = {Vicki\ Knoblauch}, DOI = {10.1007/s00355-007-0228-1}, } @misc{hibi-li, doi = {10.48550/ARXIV.1208.4029}, url = {https://arxiv.org/abs/1208.4029}, author = {Hibi, Takayuki and Li, Nan}, keywords = {Combinatorics (math.CO), FOS: Mathematics, FOS: Mathematics, Primary 52B05, Secondary 06A07}, title = {Unimodular equivalence of order and chain polytopes}, publisher = {arXiv}, year = {2012}, copyright = {arXiv.org perpetual, non-exclusive license} } @misc{liu, doi = {10.48550/ARXIV.1711.09962}, url = {https://arxiv.org/abs/1711.09962}, author = {Liu, Fu}, keywords = {Combinatorics (math.CO), FOS: Mathematics, FOS: Mathematics, 52B20, 05A15, 90C57}, title = {On positivity of Ehrhart polynomials}, publisher = {arXiv}, year = {2017}, copyright = {arXiv.org perpetual, non-exclusive license} } @article {BS, AUTHOR = {Billera, L. and Sturmfels, B.}, TITLE = {Iterated fiber polytopes}, JOURNAL = {Mathematika}, FJOURNAL = {Mathematika. A Journal of Pure and Applied Mathematics}, VOLUME = {41}, YEAR = {1994}, NUMBER = {2}, PAGES = {348--363}, MRCLASS = {52B05}, MRNUMBER = {1316614}, MRREVIEWER = {Katrin Tschirpke}, DOI = {10.1112/S0025579300007440}, } @article {Gre74, AUTHOR = {Greene, Curtis}, TITLE = {An extension of {S}chensted's theorem}, JOURNAL = {Advances in Math.}, FJOURNAL = {Advances in Mathematics}, VOLUME = {14}, YEAR = {1974}, PAGES = {254--265}, MRCLASS = {05A17}, MRNUMBER = {354395}, MRREVIEWER = {A. O. Morris} } @article {FN14, AUTHOR = {Fishel, S. and Nelson, L.}, TITLE = {Chains of maximum length in the {T}amari lattice}, JOURNAL = {Proc. Amer. Math. Soc.}, FJOURNAL = {Proceedings of the American Mathematical Society}, VOLUME = {142}, YEAR = {2014}, NUMBER = {10}, PAGES = {3343--3353}, MRCLASS = {05A15 (05E05 06A07)}, MRNUMBER = {3238412}, MRREVIEWER = {Panagiotis\ G.\ Tsikouras}, DOI = {10.1090/S0002-9939-2014-12069-7}, } @article {MT21, AUTHOR = {Mazorchuk, Volodymyr and Tenner, Bridget Eileen}, TITLE = {Intersecting principal {B}ruhat ideals and grades of simple modules}, JOURNAL = {Comb. Theory}, FJOURNAL = {Combinatorial Theory}, VOLUME = {2}, YEAR = {2022}, NUMBER = {1}, PAGES = {Paper No. 14, 31}, MRCLASS = {20F55 (05E16 06A07 20F10)}, DOI = {10.5070/c62156886}, } @article {LL20, AUTHOR = {Labb\'{e}, J.-P. and Lange, C.}, TITLE = {Cambrian acyclic domains: counting {$c$}-singletons}, JOURNAL = {Order}, FJOURNAL = {Order. A Journal on the Theory of Ordered Sets and its Applications}, VOLUME = {37}, YEAR = {2020}, NUMBER = {3}, PAGES = {571--603}, MRCLASS = {06D99 (05A05 52B05)}, MRNUMBER = {4156319}, DOI = {10.1007/s11083-019-09520-4}, } @article {HLT11, AUTHOR = {Hohlweg, C. and Lange, C. and Thomas, H.}, TITLE = {Permutahedra and generalized associahedra}, JOURNAL = {Adv. Math.}, FJOURNAL = {Advances in Mathematics}, VOLUME = {226}, YEAR = {2011}, NUMBER = {1}, PAGES = {608--640}, MRCLASS = {20F55 (05E15 52B11)}, MRNUMBER = {2735770}, MRREVIEWER = {Chi Kin Mak}, DOI = {10.1016/j.aim.2010.07.005}, } @misc{oeis, label = "OEIS", title={{The On-Line Encyclopedia of Integer Sequences}}, howpublished = "\url{http://oeis.org}", journal={OEIS}, publisher={OEIS}, author={{{OEIS} Foundation Inc. (2022)}}} @misc{oeisold, author={{{OEIS} Foundation Inc.}}, title={The On-Line Encyclopedia of Integer Sequences}, url="http://oeis.org" } @incollection {ReadingBeyond, AUTHOR = {Reading, N.}, TITLE = {From the {T}amari lattice to {C}ambrian lattices and beyond}, BOOKTITLE = {Associahedra, {T}amari lattices and related structures}, SERIES = {Prog. Math. Phys.}, VOLUME = {299}, PAGES = {293--322}, PUBLISHER = {Birkh\"{a}user/Springer, Basel}, YEAR = {2012}, MRCLASS = {06A07 (05E15 06A11 06B05 20F55)}, MRNUMBER = {3221544}, MRREVIEWER = {T. Kyle Petersen}, DOI = {10.1007/978-3-0348-0405-9_15}, } @article{Rea06, AUTHOR = {Reading, N.}, TITLE = {Cambrian lattices}, JOURNAL = {Adv. 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