Skew Standard Domino Tableaux and Partial Motzkin Paths

Ting Yuan Cheng; Sen Peng Eu; Tung Shan Fu; Yi Lin Lee

doi:10.1007/s00026-017-0340-6

Skew Standard Domino Tableaux and Partial Motzkin Paths

Ting Yuan Cheng, Sen Peng Eu, Tung Shan Fu^*, Yi Lin Lee

^*Corresponding author for this work

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

In this paper, we establish a bijection between standard domino tableaux with at most three rows and partial Motzkin paths. Moreover, we establish a connection between skew standard domino tableaux with at most three rows and a variant of partial Motzkin paths within the nonnegative quadrant and enumerate such tableaux with n dominoes in terms of linear combinations of Motzkin numbers.

Original language	English
Pages (from-to)	43-71
Number of pages	29
Journal	Annals of Combinatorics
Volume	21
Issue number	1
DOIs	https://doi.org/10.1007/s00026-017-0340-6
Publication status	Published - 2017 Mar 1

Keywords

Motzkin paths
partial Motzkin paths
skew standard domino tableaux
standard domino tableaux

ASJC Scopus subject areas

Discrete Mathematics and Combinatorics

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10.1007/s00026-017-0340-6

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abstract = "In this paper, we establish a bijection between standard domino tableaux with at most three rows and partial Motzkin paths. Moreover, we establish a connection between skew standard domino tableaux with at most three rows and a variant of partial Motzkin paths within the nonnegative quadrant and enumerate such tableaux with n dominoes in terms of linear combinations of Motzkin numbers.",

keywords = "Motzkin paths, partial Motzkin paths, skew standard domino tableaux, standard domino tableaux",

author = "Cheng, {Ting Yuan} and Eu, {Sen Peng} and Fu, {Tung Shan} and Lee, {Yi Lin}",

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AU - Cheng, Ting Yuan

AU - Eu, Sen Peng

AU - Fu, Tung Shan

AU - Lee, Yi Lin

PY - 2017/3/1

Y1 - 2017/3/1

N2 - In this paper, we establish a bijection between standard domino tableaux with at most three rows and partial Motzkin paths. Moreover, we establish a connection between skew standard domino tableaux with at most three rows and a variant of partial Motzkin paths within the nonnegative quadrant and enumerate such tableaux with n dominoes in terms of linear combinations of Motzkin numbers.

AB - In this paper, we establish a bijection between standard domino tableaux with at most three rows and partial Motzkin paths. Moreover, we establish a connection between skew standard domino tableaux with at most three rows and a variant of partial Motzkin paths within the nonnegative quadrant and enumerate such tableaux with n dominoes in terms of linear combinations of Motzkin numbers.

KW - Motzkin paths

KW - partial Motzkin paths

KW - skew standard domino tableaux

KW - standard domino tableaux

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JF - Annals of Combinatorics

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ER -

Skew Standard Domino Tableaux and Partial Motzkin Paths

Abstract

Keywords

ASJC Scopus subject areas

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