Baxter permutations, maj-balances, and positive braids

Sen Peng Eu; Tung Shan Fu; Yeh Jong Pan; Chien Tai Ting

doi:10.37236/2620

Baxter permutations, maj-balances, and positive braids

Sen Peng Eu^*, Tung Shan Fu, Yeh Jong Pan, Chien Tai Ting

^*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 present two interesting properties of 321-avoiding Baxter permutations. The first one is a variant of refined major-balance identity for the 321-avoiding Baxter permutations, respecting the number of fixed points and descents. The second one is a bijection between the 321-avoiding Baxter permutations with the entry 1 preceding the entry 2 and the positive braid words on four strands.

原文	英語
期刊	Electronic Journal of Combinatorics
卷	19
發行號	3
DOIs	https://doi.org/10.37236/2620
出版狀態	已發佈 - 2012 八月 30

ASJC Scopus subject areas

理論電腦科學
幾何和拓撲
離散數學和組合
計算機理論與數學
應用數學

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10.37236/2620

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abstract = "In this paper we present two interesting properties of 321-avoiding Baxter permutations. The first one is a variant of refined major-balance identity for the 321-avoiding Baxter permutations, respecting the number of fixed points and descents. The second one is a bijection between the 321-avoiding Baxter permutations with the entry 1 preceding the entry 2 and the positive braid words on four strands.",

keywords = "123-avoiding, 321-avoiding, Baxter permutation, Generating tree, Maj-balance, Positive braid word",

author = "Eu, {Sen Peng} and Fu, {Tung Shan} and Pan, {Yeh Jong} and Ting, {Chien Tai}",

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AU - Pan, Yeh Jong

AU - Ting, Chien Tai

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Y1 - 2012/8/30

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KW - 123-avoiding

KW - 321-avoiding

KW - Baxter permutation

KW - Generating tree

KW - Maj-balance

KW - Positive braid word

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ER -

Baxter permutations, maj-balances, and positive braids

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