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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,...
In this paper we introduce a combinatorial framework which provides an interpretation of RNA pseudoknot structures as sampling paths of a Markov process. Our results give insight into the cross-serial...
Using the bijection between partitions and vacillating tableaux, we establish a correspondence between pairs of noncrossing free Dyck paths of length 2n and noncrossing partitions of [2n + 1] with n +...
In this paper, we enumerate k-noncrossing tangled-diagrams. A tangled-diagram is a labeled graph with vertices 1,..., n, having degree ≤ 2, which are arranged in increasing order in a horizontal line....
We give a parity reversing involution on noncrossing trees that leads to a combinatorial interpretation of a formula on noncrossing trees and symmetric ternary trees in answer to a problem proposed by...
In this paper, we present a reduction algorithm which trans-forms m-regular partitions of [n] = {1,2,. . . , n} to (m-1)-regular partitions of [n-1]. We show that this algorithm preserves the noncross...

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