Counting permutations by simsun successions

Yen Chi Roger Lin; Shi Mei Ma; Yeong Nan Yeh

doi:10.11650/tjm/180701

Counting permutations by simsun successions

Yen Chi Roger Lin^*
, Shi Mei Ma
, Yeong Nan Yeh

^*此作品的通信作者

數學系

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 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.

原文	英語
頁（從 - 到）	515-527
頁數	13
期刊	Taiwanese Journal of Mathematics
卷	23
發行號	3
DOIs	https://doi.org/10.11650/tjm/180701
出版狀態	已發佈 - 2019 6月

ASJC Scopus subject areas

一般數學

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10.11650/tjm/180701

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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\}",

year = "2019",

month = jun,

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T1 - Counting permutations by simsun successions

AU - Lin, Yen Chi Roger

AU - Ma, Shi Mei

AU - Yeh, Yeong Nan

PY - 2019/6

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N2 - 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.

AB - 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.

KW - Set partitions

KW - Simsun patterns

KW - Simsun permutations

KW - Successions

UR - https://www.scopus.com/pages/publications/85068445642

UR - https://www.scopus.com/pages/publications/85068445642#tab=citedBy

U2 - 10.11650/tjm/180701

DO - 10.11650/tjm/180701

M3 - Article

AN - SCOPUS:85068445642

SN - 1027-5487

VL - 23

SP - 515

EP - 527

JO - Taiwanese Journal of Mathematics

JF - Taiwanese Journal of Mathematics

IS - 3

ER -

Counting permutations by simsun successions

摘要

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