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math.CO2024
Bijections around Springer numbers
Shaoshi Chen, Yang Li, Zhicong Lin +1
Arnol'd proved in 1992 that Springer numbers enumerate the Snakes, which are type analogs of alternating permutations. Chen, Fan and Jia in 2011 introduced the labeled ballot p…
math.CO2024★ 1 cited
Parity statistics on restricted permutations and the Catalan--Schett polynomials
Zhicong Lin, Jing Liu, Sherry H. F. Yan
Motivated by Kitaev and Zhang's recent work on non-overlapping ascents in stack-sortable permutations and Dumont's permutation interpretation of the Jacobi elliptic functions, we i…
math.CO2024
On a conjecture concerning the -Euler-Mahonian statistic on permutations
Kaimei Huang, Zhicong Lin, Sherry H. F. Yan
A pair of permutation statistics is said to be -Euler-Mahonian if and , are e…