Skew Standard Domino Tableaux and Partial Motzkin Paths

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

*此作品的通信作者

研究成果: 雜誌貢獻期刊論文同行評審

1 引文 斯高帕斯(Scopus)

摘要

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.

原文英語
頁(從 - 到)43-71
頁數29
期刊Annals of Combinatorics
21
發行號1
DOIs
出版狀態已發佈 - 2017 三月 1

ASJC Scopus subject areas

  • 離散數學和組合

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