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Equidistributions of mesh patterns of length two and Kitaev and Zhang's conjectures

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arxiv 2007.13015 v1 pith:T24ER4KK submitted 2020-07-25 math.CO

Equidistributions of mesh patterns of length two and Kitaev and Zhang's conjectures

Bin Han , Jiang Zeng This is my paper
classification math.CO
keywords kitaevmeshpatternszhangconjecturesequidistributionslengthaforementioned
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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.

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