%% This BibTeX bibliography file was created using BibDesk. %% http://bibdesk.sourceforge.net/ %% Created for Nick Beaton at 2019-05-07 22:56:22 +1000 %% Saved with string encoding Unicode (UTF-8) @article{CN17, Author = {Chapoton, F. and Nadeau, P.}, Journal = {S\'em. Lothar. Combin.}, Pages = {Art. 37, 12}, Title = {{Combinatorics of the Categories of noncrossing partitions}}, Volume = {78B}, Year = {2017}} @article{Rog18, Author = {Rognerud, B.}, Journal = {To appear in S\'em. Lothar. Combin.}, Title = {{Exceptional and modern intervals of the Tamari lattice}}, Year = {2019}} @article{CP15, Author = {Ch{\^a}tel, G. and Pons, V.}, Date-Modified = {2019-05-07 22:44:35 +1000}, Doi = {10.1016/j.jcta.2015.03.004}, Journal = {J. Combin. Theory Ser. A}, Pages = {58--97}, Title = {Counting smaller elements in the Tamari and $m$-Tamari lattices}, Volume = {134}, Year = {2015}} @phdthesis{Gir11, Author = {Giraudo, S.}, Date-Modified = {2019-05-07 22:49:54 +1000}, Note = {Section 4.4.3}, School = {Universit{\'e} Paris-Est Marne-la-Vall{\'e}e}, Title = {{Combinatoire alg{\'e}brique des arbres}}, Year = {2011}} @article{Pal86, Author = {Pallo, J. M.}, Date-Modified = {2019-05-07 22:51:14 +1000}, Doi = {10.1093/comjnl/29.2.171 }, Journal = {Comput. J.}, Number = {2}, Pages = {171--175}, Title = {Enumerating, ranking and unranking binary trees}, Volume = {29}, Year = {1986}} @article{Tam62, Author = {Tamari, D.}, Journal = {Nieuw Arch. Wisk. (3)}, Pages = {131--146}, Title = {The algebra of bracketings and their enumeration}, Volume = {10}, Year = {1962}} @book{Sta12, Author = {Stanley, R. P.}, Publisher = {Cambridge University Press}, Series = {Cambridge Studies in Advanced Mathematics}, Title = {Enumerative combinatorics. {V}olume 1}, Volume = {49}, Year = {2012}} @article{PRV17, Author = {Pr\'eville-Ratelle, L.-F. and Viennot, X.}, Date-Modified = {2019-05-07 22:52:52 +1000}, Doi = {10.1090/tran/7004}, Journal = {Trans. Amer. Math. Soc.}, Number = {7}, Pages = {5219--5239}, Title = {The enumeration of generalized {T}amari intervals}, Volume = {369}, Year = {2017}} @article{Cha06, Author = {Chapoton, F.}, Date-Modified = {2019-05-07 22:41:51 +1000}, Fjournal = {S\'{e}minaire Lotharingien de Combinatoire}, Journal = {S\'{e}m. Lothar. Combin.}, Pages = {Art. B55f, 18 pp}, Title = {Sur le nombre d'intervalles dans les treillis de {T}amari}, Url = {https://www.mat.univie.ac.at/~slc/wpapers/s55chapoton.html}, Volume = {55}, Year = {2006}} @article{BB09, Author = {Bernardi, O. and Bonichon, N.}, Date-Modified = {2019-05-07 22:38:30 +1000}, Doi = {10.1016/j.jcta.2008.05.005 }, Fjournal = {Journal of Combinatorial Theory. Series A}, Journal = {J. Combin. Theory Ser. A}, Number = {1}, Pages = {55--75}, Title = {Intervals in {C}atalan lattices and realizers of triangulations}, Volume = {116}, Year = {2009}} @article{FPR17, Author = {Fang, W. and Pr\'{e}ville-Ratelle, L.-F.}, Date-Modified = {2019-05-07 22:46:38 +1000}, Doi = {10.1016/j.ejc.2016.10.003}, Fjournal = {European Journal of Combinatorics}, Journal = {European J. Combin.}, Pages = {69--84}, Title = {The enumeration of generalized {T}amari intervals}, Volume = {61}, Year = {2017}} @article{BPR12, Author = {Bergeron, F. and Pr\'{e}ville-Ratelle, L.-F.}, Date-Modified = {2019-05-07 22:37:51 +1000}, Doi = {10.4310/JOC.2012.v3.n3.a4}, Fjournal = {Journal of Combinatorics}, Journal = {J. Combin.}, Number = {3}, Pages = {317--341}, Title = {Higher trivariate diagonal harmonics via generalized {T}amari posets}, Volume = {3}, Year = {2012}} @article{BMFPR12, Author = {Bousquet-M\'elou, M. and Fusy, \'E. and Pr\'{e}ville-Ratelle, L.-F.}, Date-Modified = {2019-05-07 22:41:05 +1000}, Fjournal = {Electronic Journal of Combinatorics}, Journal = {Electronic J. Combin.}, Number = {2}, Pages = {Art. P31, 26 pp}, Title = {The number of intervals in the $m$-{T}amari lattices}, Url = {https://www.combinatorics.org/ojs/index.php/eljc/article/view/v18i2p31}, Volume = {18}, Year = {2012}} @article{Cha17, Author = {Chapoton, F.}, Date-Modified = {2019-05-07 22:43:05 +1000}, Fjournal = {Annales Math\'{e}matiques Blaise Pascal}, Journal = {Ann. Math. Blaise Pascal}, Number = {2}, Pages = {299--314}, Title = {Une note sur les intervalles de {T}amari}, Url = {http://ambp.cedram.org/item?id=AMBP_2018__25_2_299_0}, Volume = {25}, Year = {2018}} @book{Tro02, Author = {Trotter, W. T.}, Date-Modified = {2019-05-07 22:56:22 +1000}, Publisher = {Johns Hopkins University Press, Baltimore, MD}, Series = {Johns Hopkins Series in the Mathematical Sciences}, Title = {Combinatorics and Partially Ordered Sets: {D}imension Theory}, Year = {2002}}