%% This BibTeX bibliography file was created using BibDesk. %% http://bibdesk.sourceforge.net/ %% Created for Nicholas Beaton at 2019-04-26 10:58:36 +1000 %% Saved with string encoding Unicode (UTF-8) @article{athanasiadis07on, Author = {C. A. Athanasiadis}, Date-Modified = {2019-04-26 10:39:49 +1000}, Doi = {10.1016/j.ejc.2006.02.002}, Journal = {Europ. J. Combin.}, Number = {4}, Pages = {1208--1215}, Title = {On some enumerative aspects of generalized associahedra}, Volume = {28}, Year = {2007}} @misc{ceballos19steep, Author = {C. Ceballos and W. Fang and H. M{\"u}hle}, Eprint = {1903.08515}, Eprinttype = {arxiv}, Title = {{The Steep-Bounce Zeta Map in Parabolic Cataland}}, Year = {2019}} @article{chapoton04enumerative, Author = {F. Chapoton}, Date-Modified = {2019-04-26 10:41:45 +1000}, Journal = {S{\'e}m. Loth. Combin.}, Pages = {Art. \#B51b, 16 pp}, Title = {{Enumerative Properties of Generalized Associahedra}}, Url = {https://www.mat.univie.ac.at/~slc/wpapers/s51chapoton.html}, Volume = {51}, Year = {2004}} @article{chapoton06sur, Author = {F. Chapoton}, Journal = {Bull. Belg. Math. Soc.}, Pages = {585--596}, Title = {Sur le Nombre de R\'eflexions Pleines dans les Groupes de Coxeter Finis}, Volume = {13}, Year = {2006}} @article{day79characterizations, Author = {A. Day}, Date-Modified = {2019-04-26 10:43:21 +1000}, Doi = {10.4153/cjm-1979-008-x}, Journal = {Canad. J. Math.}, Pages = {69--78}, Title = {{Characterizations of Finite Lattices that are Bounded-Homomorphic Images or Sublattices of Free Lattices}}, Volume = {31}, Year = {1979}} @article{kreweras72sur, Author = {G. Kreweras}, Date-Modified = {2019-04-26 10:46:02 +1000}, Doi = {10.1016/0012-365x(72)90041-6}, Journal = {Discrete Math.}, Number = {4}, Pages = {333--350}, Title = {Sur les partitions non crois\'{e}es d'un cycle}, Volume = {1}, Year = {1972}} @article{markowsky92primes, Author = {G. Markowsky}, Date-Modified = {2019-04-26 10:47:09 +1000}, Doi = {10.1007/bf00383950}, Journal = {Order}, Number = {3}, Pages = {265--290}, Title = {Primes, irreducibles and extremal lattices}, Volume = {9}, Year = {1992}} @article{muehle19the, Author = {H. M{\"u}hle}, Date-Modified = {2019-04-26 10:48:58 +1000}, Doi = {10.1007/s00012-019-0585-5}, Journal = {Algebra Univ.}, Number = {10}, Title = {The core label order of a congruence-uniform lattice}, Volume = {80}, Year = {2019}} @misc{muehle18noncrossing, Author = {H. M{\"u}hle}, Eprint = {1809.01405}, Eprinttype = {arxiv}, Title = {{Noncrossing Partitions, Tamari Lattices, and Parabolic Quotients of the Symmetric Group}}, Year = {2018}} @misc{muehle18tamari, Author = {H. M{\"u}hle and N. Williams}, Eprint = {1804.02761}, Eprinttype = {arxiv}, Title = {{Tamari Lattices for Parabolic Quotients of the Symmetric Group}}, Year = {2018}} @article{preville17enumeration, Author = {L.-F. Pr{\'e}ville-Ratelle and X. Viennot}, Date-Modified = {2019-04-26 10:50:03 +1000}, Doi = {10.1090/tran/7004}, Journal = {Trans. Amer. Math. Soc.}, Number = {7}, Pages = {5219--5239}, Title = {The enumeration of generalized Tamari intervals}, Volume = {369}, Year = {2017}} @article{reading11noncrossing, Author = {N. Reading}, Date-Modified = {2019-04-26 10:55:48 +1000}, Doi = {10.1007/s10801-010-0255-3}, Journal = {J. Algebraic Combin.}, Number = {4}, Pages = {483--530}, Title = {Noncrossing partitions and the shard intersection order}, Volume = {33}, Year = {2011}} @article{simion91on, Author = {R. Simion and D. Ullman}, Date-Modified = {2019-04-26 10:56:31 +1000}, Doi = {10.1016/0012-365x(91)90376-d }, Journal = {Discrete Math.}, Number = {3}, Pages = {193--206}, Title = {On the structure of the lattice of noncrossing partitions}, Volume = {98}, Year = {1991}} @article{thiel14on, Author = {M. Thiel}, Date-Modified = {2019-04-26 10:57:41 +1000}, Doi = {10.1016/j.ejc.2014.01.010 }, Journal = {Europ. J. Combin.}, Pages = {244--255}, Title = {On the $H$-triangle of generalised nonnesting partitions}, Volume = {39}, Year = {2014}} @article{thomas06analogue, Author = {H. Thomas}, Date-Modified = {2019-04-26 10:58:18 +1000}, Doi = {10.1007/s11083-006-9046-9 }, Journal = {Order}, Pages = {249--269}, Title = {{An Analogue of Distributivity for Ungraded Lattices}}, Volume = {23}, Year = {2006}} @misc{thomas17rowmotion, Author = {H. Thomas and N. Williams}, Date-Modified = {2019-04-26 10:58:35 +1000}, Eprint = {1712.10123}, Eprinttype = {arxiv}, Title = {Rowmotion in slow motion}, Year = {2017}} @incollection{krattenthaler15lattice, Address = {Boca Raton-London-New York}, Author = {C. Krattenthaler}, Booktitle = {{Handbook of Enumerative Combinatorics}}, Date-Modified = {2019-04-26 10:44:05 +1000}, Editor = {M. B{\'o}na}, Number = {87}, Pages = {589--678}, Publisher = {CRC Press}, Series = {Discrete Math. Appl.}, Title = {{Lattice Path Enumeration}}, Year = {2015}} @misc{krattenthaler19zeta, Author = {C. Krattenthaler}, Date-Modified = {2019-04-26 10:44:17 +1000}, Note = {Personal communication}, Year = {2019}} @misc{sloane, Author = {N. J. A. Sloane}, Date-Modified = {2019-04-26 10:56:54 +1000}, Title = {{The Online Encyclopedia of Integer Sequences}}, Url = {http://www.oeis.org}}