@article{0748cc2197384458a54b16d0929d104d,
title = "Counting permutations by simsun successions",
abstract = "In this paper, we introduce the definitions of simsun succession statistics and simsun patterns. In addition to its original definition by Brenti, we give two more combinatorial interpretations of the q-Eulerian polynomials using simsun successions. We also present a bijection between permutations avoiding the simsun pattern 132 and set partitions.",
keywords = "Set partitions, Simsun patterns, Simsun permutations, Successions",
author = "Lin, {Yen Chi Roger} and Ma, {Shi Mei} and Yeh, {Yeong Nan}",
note = "Funding Information: This work is supported by NSFC (11401083), Natural Science Foundation of Hebei Province (A2017501007) and the Fundamental Research Funds for the Central Universities (N152304006). Publisher Copyright: {\textcopyright} 2019, Mathematical Society of the Rep. of China. All rights reserved.",
year = "2019",
month = jun,
doi = "10.11650/tjm/180701",
language = "English",
volume = "23",
pages = "515--527",
journal = "Taiwanese Journal of Mathematics",
issn = "1027-5487",
publisher = "Mathematical Society of the Rep. of China",
number = "3",
}