Sur les partitions non croisées d'un cycle. (The non-crossed partitions of a cycle)
From MaRDI portal
Publication:2550395
DOI10.1016/0012-365X(72)90041-6zbMath0231.05014MaRDI QIDQ2550395
Publication date: 1972
Published in: Discrete Mathematics (Search for Journal in Brave)
Related Items
Combinatorial statistics on non-crossing partitions, A new matching property for posets and existence of disjoint chains, Chung-Feller property of Schröder objects, Two shortest path metrics on well-formed parentheses strings, Closed expressions for averages of set partition statistics, Counting partitions of a fixed genus, Linear preservers for the \(q\)-permanent, cycle \(q\)-permanent expansions, and positive crossings in digraphs, Two combinatorial statistics on Dyck paths, A decomposition of parking functions by undesired spaces, Möbius functions of lattices, On \(q\)-analogues of partially ordered sets, Combinatorial aspects of Davenport-Schinzel sequences, Cumulants in noncommutative probability theory. IV: Noncrossing cumulants: de Finetti's theorem and \(L^{p}\)-inequalities, Ordered trees and non-crossing partitions, A categorification of non-crossing partitions, The phagocyte lattice of Dyck words, Invariant Peano curves of expanding Thurston maps, On the number of crossing-free partitions, Some properties of crossings and partitions, Non-crossing partitions for classical reflection groups, Bijections between noncrossing and nonnesting partitions for classical reflection groups, On trees and noncrossing partitions, Crossings and embracings of set-partitions and \(q\)-analogues of the logarithm of the Fourier transform, Factorization of the cover polynomial, A group action on noncrossing partitions, A second look at the toric \(h\)-polynomial of a cubical complex, Rational associahedra and noncrossing partitions, Enumeration of connected Catalan objects by type, Two posets of noncrossing set partitions, A type-B associahedron., Noncrossing partitions, noncrossing graphs, and \(q\)-permanental equations, Quantum symmetries and strong Haagerup inequalities, Chain enumeration and non-crossing partitions, Singletons and adjacencies of set partitions of type \(B\), Zeta polynomials and the Möbius function, Noncrossing partitions and Bruhat order, A new approach to solve open-partition problems, Catalan structures and dynamic programming in \(H\)-minor-free graphs, Weyl group \(q\)-Kreweras numbers and cyclic sieving, Efficient exact algorithms on planar graphs: Exploiting sphere cut decompositions, EL-shellability and noncrossing partitions associated with well-generated complex reflection groups, Multichains, non-crossing partitions and trees, Avoidance of partitions of a three-element set, Folded bump diagrams for partitions of classical types, Parking spaces., Problems related to type-\(A\) and type-\(B\) matrices of chromatic joins, Enumerative properties of \({\mathit NC}^{(B)}(p,q)\), Cyclic sieving of noncrossing partitions for complex reflection groups., On noncrossing and nonnesting partitions of type \(D\), Parking structures: Fuss analogs, Counting pattern-free set partitions. I: A generalization of Stirling numbers of the second kind, Commutators of free random variables, Hom-configurations and noncrossing partitions., On the structure of the lattice of noncrossing partitions, Set partition patterns and statistics, The alternating group generated by 3-cycles, Noncommutative free cumulants, Enumerative properties of grid associahedra, A recursion on maximal chains in the Tamari lattices, A ``Fourier transform for multiplicative functions on non-crossing partitions, Zero loci of skew-growth functions for dual Artin monoids, Proof of a conjecture on the infinite dimension limit of a unifying model for random matrix theory, Noncrossing partitions and the shard intersection order, Cyclic sieving, promotion, and representation theory, Lyashko-Looijenga morphisms and submaximal factorizations of a Coxeter element, Some \(q\)-analogues of the Schröder numbers arising from combinatorial statistics on lattice paths, A central partition of molecular conformational space. III. Combinatorial determination of the volume spanned by a molecular system, Cumulants and convolutions via Abel polynomials, Subexponential parameterized algorithms for degree-constrained subgraph problems on planar graphs, Oriented flip graphs of polygonal subdivisions and noncrossing tree partitions, A \(q\)-analog of Schläfli and Gould identities on Stirling numbers, Noncrossing partitions, toggles, and homomesies, Star factorizations and noncrossing partitions, Modular Catalan numbers, Intervals in Catalan lattices and realizers of triangulations, Particle diagrams and statistics of many-body random potentials, Generalized statistics of macroscopic fields, Cambrian fans., On the construction of free random variables, A partial order for the set of meanders, Posets of annular non-crossing partitions of types B and D, Representations of symmetric groups and free probability, Combinatorial statistics on alternating permutations, Combinatorics of free cumulants, \(q\)-Narayana numbers and the flag \(h\)-vector of \(J(\text \textbf{2}\times {\mathbf n})\), Non-crossing partitions, Strong Haagerup inequalities with operator coefficients, Remarks on a free analogue of the beta prime distribution, A one-parameter family of transforms, linearizing convolution laws for probability distributions, Left-modular elements of lattices, Dyck path enumeration, Analytic combinatorics of non-crossing configurations, Free stochastic measures via noncrossing partitions, R-cyclic families of matrices in free probability, Non-overlapping partitions, continued fractions, Bessel functions and a divergent series, Chains in the lattice of noncrossing partitions, Multinomial identities arising from free probability theory., The enumeration of irreducible combinatorial objects, Multiplicative functions on the lattice of non-crossing partitions and free convolution, Rational parking functions and Catalan numbers, The Shi arrangement and the Ish arrangement, From discrete to continuous monotone C*-algebras via quantum central limit theorems, Subsystem trace-distances of two random states, Counting chains in the noncrossing partition lattice via the \(W\)-Laplacian, Dominant regions in noncrystallographic hyperplane arrangements, On the Lukacs property for free random variables, Hochschild lattices and shuffle lattices, Enumeration of Fuss-Schröder paths, Three Fuss-Catalan posets in interaction and their associative algebras, Δ-Cumulants in terms of moments, Non-crossing cumulants of type B, Matchings In Three Catalan Lattices, The Catalan combinatorics of the hereditary artin algebras, The combinator M and the Mockingbird lattice, The rank enumeration of certain parabolic non-crossing partitions, FERMI CONVOLUTION, Noncommutative symmetric functions and Lagrange inversion. II: Noncrossing partitions and the Farahat-Higman algebra, Formation of a giant component in the intersection graph of a random chord diagram, Symmetric decompositions and the strong Sperner property for noncrossing partition lattices, On relations for zeros of \(f\)-polynomials and \(f^{+}\)-polynomials, Set Partition Patterns and the Dimension Index, Combinatorics of NC-probability spaces with independent constants, Sample variance in free probability, Catalan intervals and uniquely sorted permutations, Periodicity and integrability for the cube recurrence, New production matrices for geometric graphs, \(k\)-divisible random variables in free probability, Operads of (noncrossing) partitions, interacting bialgebras, and moment-cumulant relations, Fluctuations of random Motzkin paths, A shuffle algebra point of view on operator-valued probability theory, Large and small corrections to the JLMS formula from replica wormholes, On the homology of the noncrossing partition lattice and the Milnor fibre, Exceptional and modern intervals of the Tamari lattice, Uniquely sorted permutations, Chain enumeration of \(k\)-divisible noncrossing partitions of classical types, New interpretations for noncrossing partitions of classical types, Simply Generated Non-Crossing Partitions, Using Boolean cumulants to study multiplication and anti-commutators of free random variables, Merging-Free Partitions and Run-Sorted Permutations, Free convolution operators and free Hall transform, Sums of commutators in free probability, The number of coverings in four catalan lattices, Chapoton triangles for nonkissing complexes, Bijections on two variations of noncrossing partitions, On maximal chains in the non-crossing partition lattice, Strong Haagerup inequalities for free \(\mathfrak R\)-diagonal elements, \(\eta\)-series and a Boolean Bercovici--Pata bijection for bounded \(k\)-tuples, Some set partition statistics in non-crossing partitions and generating functions, THE NUMBER OF PURE CONVOLUTIONS ARISING FROM CONDITIONALLY FREE CONVOLUTION, Decomposition numbers for finite Coxeter groups and generalised non-crossing partitions, Deux propriétés combinatoires des nombres de Schröder, From the Tamari Lattice to Cambrian Lattices and Beyond, A simple and direct derivation for the number of noncrossing partitions, Hopf algebras and the logarithm of the $S$-transform in free probability, Skew Schubert functions and the Pieri formula for flag manifolds, Schur-Weyl duality and the heat kernel measure on the unitary group, The toric \(h\)-vector of a cubical complex in terms of noncrossing partition statistics, Asymptotics of characters of symmetric groups, genus expansion and free probability., Non-crossing partitions of type \((e,e,r)\)., A basis for the non-crossing partition lattice top homology, A distributive lattice structure connecting Dyck paths, noncrossing partitions and 312-avoiding permutations, Oriented Flip Graphs and Noncrossing Tree Partitions, A Pieri-type formula for isotropic flag manifolds, Non-crossing partition lattices in finite real reflection groups, Divided differences of inverse functions and partitions of a convex polygon, Gaussian fluctuations of characters of symmetric groups and of Young diagrams, Tamari lattices for parabolic quotients of the symmetric group, A poset structure on the alternating group generated by 3-cycles, Why the characteristic polynomial factors, Noncrossing arc diagrams, Tamari lattices, and parabolic quotients of the symmetric group, On enumeration of families of genus zero permutations, The role of planarity in connectivity problems parameterized by treewidth, Relations between cumulants in noncommutative probability, Unnamed Item, Coxeter-Catalan combinatorics and Temperley-Lieb algebras, Polynomials, meanders, and paths in the lattice of noncrossing partitions, Non‐crossing annular pairings and the infinitesimal distribution of the<scp>goe</scp>, The joint distribution of the marginals of multipartite random quantum states, Ballot-noncrossing partitions, Ascending runs in permutations and valued Dyck paths, Second order cumulants of products, Weak \(Z\)-property of the absolute order on groups generated by sets closed under taking inverses, CENTRAL LIMIT THEOREMS FOR COXETER SYSTEMS AND ARTIN SYSTEMS OF EXTRA LARGE TYPE, Iterated foldings of discrete spaces and their limits: candidates for the role of Brownian map in higher dimensions, Étude et denombrement parallèles des partitions non-croisees d'un cycle et des decoupages d'un polygone convexe, Subexponential Parameterized Algorithms for Bounded-Degree Connected Subgraph Problems on Planar Graphs, Thermalisation for Wigner matrices, Noncrossing partitions and representations of quivers, Generalized noncrossing partitions and combinatorics of Coxeter groups, Noncrossing partitions, Bruhat order and the cluster complex, An explicit construction of simple-minded systems over self-injective Nakayama algebras, Optimal multi-resolvent local laws for Wigner matrices, A uniform bijection between nonnesting and noncrossing partitions, Shellability of noncrossing partition lattices, Negativity spectra in random tensor networks and holography, Nica's \(q\)-convolution is not positivity preserving, Hom-configurations in triangulated categories generated by spherical objects, Motzkin path decompositions of functionals in noncommutative probability, Limit shapes for growing extreme characters of \(U(\infty)\), Free cumulants, Schröder trees, and operads, Hopf Monoids and Generalized Permutahedra, Lattice Paths and Branched Continued Fractions: An Infinite Sequence of Generalizations of the Stieltjes–Rogers and Thron–Rogers Polynomials, with Coefficientwise Hankel-Total Positivity, Beyond islands: a free probabilistic approach, An involution on restricted Laguerre histories and its applications, The category of finite strings, Phénoménologie, représentations, combinatoire, Lattices of t‐structures and thick subcategories for discrete cluster categories, Homomesies on permutations: An analysis of maps and statistics in the FindStat database, Composition closed premodel structures and the Kreweras lattice, The combinatorics of a tree-like functional equation for connected chord diagrams, Unnamed Item, Combinatorial reciprocity theorems, A partial order on the symmetric group and new \(K(\pi,1)\)'s for the braid groups, Some properties of the parking function poset, Some properties of the parking function poset, Connectivity properties of factorization posets in generated groups, The noncrossing bond poset of a graph, The steep-bounce zeta map in parabolic Cataland
Cites Work
- Functional Composition Patterns and Power Series Reversion
- [https://portal.mardi4nfdi.de/wiki/Publication:5731810 On the foundations of combinatorial theory I. Theory of M�bius Functions]
- Unnamed Item
- Unnamed Item