Séminaire Lotharingien de Combinatoire, 85B.12 (2021), 12 pp.
Bin Han and Jiang Zeng
Equidistributions of Mesh Patterns of Length Two
Abstract.
A systematic study of avoidance of mesh patterns of length 2 was conducted by Hilmarsson et al. in 2015. In a recent paper
Kitaev and Zhang examined the distribution of
the aforementioned
patterns. The aim of this paper is to prove more equidistributions of mesh pattern and confirm Kitaev and Zhang's four conjectures by constructing two involutions on permutations.
Received: December 1, 2020.
Accepted: March 1, 2021.
Final version: April 29, 2021.
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