%% This BibTeX bibliography file was created using BibDesk. %% http://bibdesk.sourceforge.net/ %% Created for Nicholas Beaton at 2019-04-30 11:24:21 +1000 %% Saved with string encoding Unicode (UTF-8) @article{Simion, Author = {Rodica Simion}, Date-Added = {2019-04-30 11:15:43 +1000}, Date-Modified = {2019-04-30 11:16:49 +1000}, Doi = {10.1016/s0196-8858(02)00522-5}, Journal = {Adv. in Appl. Math.}, Number = {1-2}, Pages = {2--25}, Title = {A type-B associahedron}, Volume = {30}, Year = 2003, Bdsk-Url-1 = {https://doi.org/10.1016%2Fs0196-8858%2802%2900522-5}, Bdsk-Url-2 = {https://doi.org/10.1016/s0196-8858(02)00522-5}} @article{Postnikov_P, Author = {Alexander Postnikov}, Date-Added = {2019-04-30 11:14:49 +1000}, Date-Modified = {2019-04-30 11:16:59 +1000}, Doi = {10.1093/imrn/rnn153}, Journal = {Int. Math. Res. Not. IMRN}, Pages = {1026--1106}, Title = {Permutohedra, associahedra, and beyond}, Year = 2009, Bdsk-Url-1 = {https://doi.org/10.1093%2Fimrn%2Frnn153}, Bdsk-Url-2 = {https://doi.org/10.1093/imrn/rnn153}} @misc{Oh_Yoo_2, Author = {S. Oh and H. Yoo}, Date-Added = {2019-04-30 11:13:22 +1000}, Date-Modified = {2019-04-30 11:14:18 +1000}, Eprint = {1311.6772}, Eprinttype = {arxiv}, Title = {Triangulations of $\Delta_{n-1} \times \Delta_{d-1}$ and tropical oriented matroids}, Year = {2013}} @article{Hetyei_Legendre, Author = {G{\'{a}}bor Hetyei}, Date-Added = {2019-04-30 11:12:54 +1000}, Date-Modified = {2019-04-30 11:17:24 +1000}, Doi = {10.1007/s00454-008-9131-5}, Journal = {Discrete Comput. Geom.}, Number = {4}, Pages = {705--721}, Title = {Delannoy orthants of Legendre polytopes}, Volume = {42}, Year = 2008, Bdsk-Url-1 = {https://doi.org/10.1007%2Fs00454-008-9131-5}, Bdsk-Url-2 = {https://doi.org/10.1007/s00454-008-9131-5}} @incollection{Gelfand_Graev_Postnikov, Author = {I. M. Gelfand and M. I. Graev and A. Postnikov}, Booktitle = {Arnold-Gelfand Mathematical Seminars: Geometry and Singularity Theory}, Date-Added = {2019-04-30 11:10:56 +1000}, Date-Modified = {2019-04-30 11:12:20 +1000}, Pages = {205--221}, Publisher = {Birkh\"auser, Boston}, Title = {Combinatorics of hypergeometric functions associated with positive roots}, Year = {1996}} @article{Ehrenborg_Hetyei_Readdy, Author = {Richard Ehrenborg and G{\'{a}}bor Hetyei and Margaret Readdy}, Date-Added = {2019-04-30 11:09:57 +1000}, Date-Modified = {2019-04-30 11:10:42 +1000}, Doi = {10.1007/s00454-018-9973-4}, Journal = {Discrete Comput. Geom.}, Number = {1}, Pages = {98--114}, Title = {Simion's type $B$ associahedron is a pulling triangulation of the Legendre polytope}, Volume = {60}, Year = 2018, Bdsk-Url-1 = {https://doi.org/10.1007%2Fs00454-018-9973-4}, Bdsk-Url-2 = {https://doi.org/10.1007/s00454-018-9973-4}} @book{deLoera_Rambau_Santos, Author = {J. A. de Loera and J. Rambau and F. Santos}, Date-Added = {2019-04-30 11:08:29 +1000}, Date-Modified = {2019-04-30 11:09:19 +1000}, Number = {25}, Publisher = {Springer-Verlag, Berlin}, Series = {Algorithms. Comput. Math.}, Title = {Triangulations: Structures for Algorithms and Applications}, Year = {2010}} @article{Cori_Hetyei, Author = {R. Cori and G. Hetyei}, Date-Added = {2019-04-30 11:06:43 +1000}, Date-Modified = {2019-04-30 11:07:35 +1000}, Journal = {S\'em. Lothar. Combin.}, Pages = {Art. B70e, 29 pp}, Title = {Counting genus one partitions and permutations}, Url = {https://www.mat.univie.ac.at/~slc/wpapers/s70corihet.html}, Volume = {70}, Year = {2013}} @article{Cho, Author = {Soojin Cho}, Date-Added = {2019-04-30 11:05:14 +1000}, Date-Modified = {2019-04-30 11:06:04 +1000}, Doi = {10.1017/s0004972700033062}, Journal = {Bull. Austral. Math. Soc.}, Number = {03}, Pages = {391--402}, Title = {Polytopes of roots of type $A_n$}, Volume = {59}, Year = {1999}, Bdsk-Url-1 = {https://doi.org/10.1017%2Fs0004972700033062}, Bdsk-Url-2 = {https://doi.org/10.1017/s0004972700033062}} @article{Cellini_Marietti_abelian, Author = {Paola Cellini and Mario Marietti}, Date-Added = {2019-04-30 11:04:04 +1000}, Date-Modified = {2019-04-30 11:04:36 +1000}, Doi = {10.1007/s10801-013-0458-5}, Journal = {J. Algebr. Combin.}, Number = {3}, Pages = {607--645}, Title = {Root polytopes and Abelian ideals}, Volume = {39}, Year = 2013, Bdsk-Url-1 = {https://doi.org/10.1007%2Fs10801-013-0458-5}, Bdsk-Url-2 = {https://doi.org/10.1007/s10801-013-0458-5}} @article{Ceballos_Padrol_Sarmiento, Author = {Cesar Ceballos and Arnau Padrol and Carmilo Sarmiento}, Date-Added = {2019-04-30 10:59:50 +1000}, Date-Modified = {2019-04-30 11:24:21 +1000}, Journal = {S\'em. Lothar. Combin.}, Pages = {Art. 68, 12 pp}, Publisher = { }, Title = {Geometry of $\nu$-Tamari lattices in types $A$ and $B$}, Url = {https://www.mat.univie.ac.at/~slc/wpapers/FPSAC2017/68%20Ceballos%20Padrol%20Sarmiento.html}, Volume = {78B \textnormal{(Proceedings of FPSAC'17)}}, Year = {2017}} @article{Ceballos_Padrol_Sarmiento_old, Author = {Cesar Ceballos and Arnau Padrol and Camilo Sarmiento}, Date-Added = {2019-04-30 10:58:42 +1000}, Date-Modified = {2019-04-30 10:59:17 +1000}, Doi = {10.1016/j.jcta.2014.10.009}, Journal = {J. Combin. Theory, Ser. A}, Pages = {187--208}, Title = {Dyck path triangulations and extendability}, Volume = {131}, Year = 2015, Bdsk-Url-1 = {https://doi.org/10.1016%2Fj.jcta.2014.10.009}, Bdsk-Url-2 = {https://doi.org/10.1016/j.jcta.2014.10.009}} @article{Ardila_Beck_Hosten_Pfeifle_Seashore, Author = {Federico Ardila and Matthias Beck and Serkan Ho{\c{s}}ten and Julian Pfeifle and Kim Seashore}, Date-Added = {2019-04-30 10:57:20 +1000}, Date-Modified = {2019-04-30 11:20:48 +1000}, Doi = {10.1137/090749293}, Journal = {{SIAM} J. Discrete Math.}, Number = {1}, Pages = {360--378}, Title = {Root polytopes and growth series of root lattices}, Volume = {25}, Year = 2011, Bdsk-Url-1 = {https://doi.org/10.1137%2F090749293}, Bdsk-Url-2 = {https://doi.org/10.1137/090749293}}