Marking Algorithms in Permutation Tableaux and Transformations on Linked Partitions

Marking Algorithms in Permutation Tableaux and Transformations on Linked Partitions

In this paper, we focus on the internal structural characteristics of permutation tableaux and their correspondence with linked partitions. We begin by introducing new statistics for permutation tableaux, designed to thoroughly describe various positional relationships among the topmost 1s and the r...

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Bibliographic Details
Main Authors: Carol Jian Wang, Meryl Nan Wang
Format: Article
Language:English
Published: MDPI AG 2025-04-01
Series:Mathematics
Subjects:
permutation tableau
linked partition
marking algorithm
tugging and rebound transformation
crossing number
nesting number
Online Access:https://www.mdpi.com/2227-7390/13/8/1335
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