@article{tamari-def, author = {Tamari, D.}, journal = {Nieuw. Arch. Wisk. 3}, pages = {131--146}, title = {The algebra of bracketings and their enumeration}, volume = {10}, year = {1962}, } @article{bergeron-preville, author = {Bergeron, F. and Pr{\'e}ville-Ratelle, L.-F.}, journal = {J. Comb.}, number = {3}, pages = {317--341}, title = {Higher trivariate diagonal harmonics via generalized {T}amari posets}, volume = {3}, year = {2012}, doi = {10.4310/JOC.2012.v3.n3.a4}, } @article{PRV, author = {Pr\'{e}ville-Ratelle, L.-F. and Viennot, X.}, journal = {Trans. Amer. Math. Soc.}, number = {7}, pages = {5219--5239}, title = {The enumeration of generalized Tamari intervals}, volume = {369}, year = {2017}, doi = {10.1090/tran/7004}, } @article{ch06, author = {Chapoton, F.}, journal = {S\'em. Lothar. Combin.}, pages = {Art. B55f, 18 pp. (electronic)}, title = {Sur le nombre d'intervalles dans les treillis de Tamari}, year = {2006}, } @article{chatel-pons, author = {Ch{\^a}tel, G. and Pons, V.}, journal = {J. Combin. Theory Ser. A}, pages = {58--97}, title = {Counting smaller elements in the {T}amari and {$m$}-{T}amari lattices}, volume = {134}, year = {2015}, doi = {10.1016/j.jcta.2015.03.004}, } @article{nonsep, author = {Fang, W. and Pr{\'e}ville-Ratelle, L.-F.}, journal = {European J. Combin.}, pages = {69--84}, title = {The enumeration of generalized Tamari intervals}, volume = {61}, year = {2017}, doi = {10.1016/j.ejc.2016.10.003}, } @article{bernardi-bonichon, author = {Bernardi, O. and Bonichon, N.}, journal = {J. Combin. Theory Ser. A}, number = {1}, pages = {55--75}, title = {Intervals in Catalan lattices and realizers of triangulations}, volume = {116}, year = {2009}, doi = {10.1016/j.jcta.2008.05.005}, } @article{trinity, author = {Fang, W.}, journal = {Adv. Appl. Math.}, pages = {1--30}, title = {A trinity of duality: non-separable planar maps, $\beta$-(0,1) trees and synchronized intervals}, volume = {95}, year = {2017}, doi = {10.1016/j.aam.2017.10.001}, timestamp = {2018.08.16}, } @article{sticky, author = {Fang, W.}, journal = {European J. Combin.}, pages = {75--91}, title = {Planar triangulations, bridgeless planar maps and {T}amari intervals}, volume = {70}, year = {2018}, doi = {10.1016/j.ejc.2017.12.002}, } @misc{fusy-talk, author = {Fusy, {\'E}.}, note = {In IRIF Combinatorics seminar, Universit\'e Paris Diderot, \url{http://www.lix.polytechnique.fr/~fusy/Talks/Tamaris.pdf}}, title = {On Tamari intervals and planar maps}, year = {2017}, } @article{tree-bij, author = {Janson, S. and Stef\'{a}nsson, S. \"{O}.}, journal = {Ann. Probab.}, number = {3}, pages = {1045--1081}, title = {Scaling limits of random planar maps with a unique large face}, volume = {43}, year = {2015}, doi = {10.1214/13-AOP871}, } @article{huang-tamari, author = {Huang, S. and Tamari, D.}, journal = {J. Combin. Theory Ser. A}, pages = {7--13}, title = {Problems of associativity: A simple proof for the lattice property of systems ordered by a semi-associative law}, volume = {13}, year = {1972}, doi = {10.1016/0097-3165(72)90003-9}, } @article{tutte-census, author = {Tutte, W. T.}, journal = {Canad. J. Math.}, pages = {249--271}, title = {A census of planar maps}, volume = {15}, year = {1963}, doi = {10.4153/CJM-1963-029-x}, } @article{desc-tree-tutte, author = {Cori, R. and Schaeffer, G.}, journal = {Theoret. Comput. Sci.}, note = {Selected papers in honor of Jean Berstel}, number = {1}, pages = {165--183}, title = {Description trees and Tutte formulas}, volume = {292}, year = {2003}, doi = {10.1016/S0304-3975(01)00221-3}, }