@article{9c0473758009440c90dc9a5897207b28,
title = "Skew Standard Domino Tableaux and Partial Motzkin Paths",
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}",
note = "Publisher Copyright: {\textcopyright} 2017, Springer International Publishing.",
year = "2017",
month = mar,
day = "1",
doi = "10.1007/s00026-017-0340-6",
language = "English",
volume = "21",
pages = "43--71",
journal = "Annals of Combinatorics",
issn = "0218-0006",
publisher = "Birkhauser Verlag Basel",
number = "1",
}