Pattern avoidance in biwords

Cai，Zhijun1; Ding，Jian2; Mei，Zhousheng3; Wang，Suijie4

2022

10.1016/j.disc.2021.112635

DISCRETE MATHEMATICS   影响因子和分区

0012-365X

In this paper, we study pattern avoidance on the set of biwords with no repetitions in each block and prove that the number of those biwords avoiding π‾ is independent of the choice of π∈S, which extends Knuth's classic result on permutations avoiding π∈S. We present the proof in both bijective and inductive methods. As applications, we will give new combinatorial interpretations on Catalan, Riordan, and Motzkin numbers via pattern avoidance of biwords. Using the elementary theory of symmetric functions, we investigate the generating functions of biwords avoiding several specific patterns.

Biwords Dual RSK correspondence Pattern avoidance Symmetric functions Young tableaux

SCI

英语

第一

WOS:000704339500010

MATHEMATICS

2-s2.0-85115796525

Scopus

1.Department of Statistics and Data Science,South University of Science and Technology,Shenzhen,China
2.School of Mathematics,Jiujiang University,Jiujiang,China
3.College of Mathematics and Physics,Wenzhou University,Wenzhou,China
4.School of Mathematics,Hunan University,Changsha,China

Cai，Zhijun,Ding，Jian,Mei，Zhousheng,et al. Pattern avoidance in biwords[J]. DISCRETE MATHEMATICS,2022,345(1).

Cai，Zhijun,Ding，Jian,Mei，Zhousheng,&Wang，Suijie.(2022).Pattern avoidance in biwords.DISCRETE MATHEMATICS,345(1).

Cai，Zhijun,et al."Pattern avoidance in biwords".DISCRETE MATHEMATICS 345.1(2022).