منابع مشابه
Linked partitions and linked cycles
The notion of noncrossing linked partition arose from the study of certain transforms in free probability theory. It is known that the number of noncrossing linked partitions of [n+1] is equal to the n-th large Schröder number rn, which counts the number of Schröder paths. In this paper we give a bijective proof of this result. Then we introduce the structures of linked partitions and linked cy...
متن کاملLinked Partitions and Permutation Tableaux
Linked partitions were introduced by Dykema in the study of transforms in free probability theory, whereas permutation tableaux were introduced by Steingŕımsson and Williams in the study of totally positive Grassmannian cells. Let [n] = {1, 2, . . . , n}. Let L(n, k) denote the set of linked partitions of [n] with k blocks, let P (n, k) denote the set of permutations of [n] with k descents, and...
متن کاملNoncrossing linked partitions and large (3, 2)-Motzkin paths
Noncrossing linked partitions arise in the study of certain transforms in free probability theory. We explore the connection between noncrossing linked partitions and (3, 2)-Motzkin paths, where a (3, 2)-Motzkin path can be viewed as a Motzkin path for which there are three types of horizontal steps and two types of down steps. A large (3, 2)Motzkin path is a (3, 2)-Motzkin path for which there...
متن کاملNon-crossing Linked Partitions and Multiplication of Free Random Variables
The material gives a new combinatorial proof of the multiplicative property of the S-transform. In particular, several properties of the coefficients of its inverse are connected to non-crossing linked partitions and planar trees. AMS subject classification: 05A10 (Enumerative Combinatorics); 46L54(Free Probability and Free Operator Algebras).
متن کاملPediatrics Functional Constipation and school-Whether are linked?
Background: Functional Constipation (FC) is one of the important digestive disorders in pediatrics. Its prevalence varies in different communities. The purpose of this study was to determine the prevalence of FC in our area between the school children and the impact of school on it. Methods: This study was done on 4 to 12 years old children of nine schools and kindergartens...
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ژورنال
عنوان ژورنال: European Journal of Combinatorics
سال: 2008
ISSN: 0195-6698
DOI: 10.1016/j.ejc.2007.06.022