Surprising symmetries in objects counted by Catalan numbers

zbMath1243.05006MaRDI QIDQ426837

Miklós Bóna

Publication date: 12 June 2012

Published in: The Electronic Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: http://www.emis.de/journals/EJC/ojs/index.php/eljc/article/view/v19i1p62

zbMATH Keywords

permutationsbijectionplane treespatterns

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Permutations, words, matrices (05A05)

Related Items (18)

Transformation à la Foata for special kinds of descents and excedances ⋮ The Brownian limit of separable permutations ⋮ The equidistribution of some length-three vincular patterns on \(S_n(132)\) ⋮ The shape of random pattern-avoiding permutations ⋮ The infinite limit of separable permutations ⋮ Equipopularity classes of 132-avoiding permutations ⋮ Refining enumeration schemes to count according to permutation statistics ⋮ Unnamed Item ⋮ Patterns in Random Permutations Avoiding the Pattern 132 ⋮ Universal limits of substitution-closed permutation classes ⋮ Noncontiguous pattern containment in binary trees ⋮ Descent distribution on Catalan words avoiding a pattern of length at most three ⋮ Pattern statistics in faro words and permutations ⋮ Local convergence for permutations and local limits for uniform \(\rho \)-avoiding permutations with \(|\rho |=3\) ⋮ Patterns in random permutations avoiding some sets of multiple patterns ⋮ Popularity of patterns over \(d\)-equivalence classes of words and permutations ⋮ Counting pattern avoiding permutations by number of movable letters ⋮ Equipopularity classes in the separable permutations

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