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math.CO2025
A bijection between - and -avoiding permutations preserving -stack-sortability
Yang Li, Sergey Kitaev, Zhicong Lin +1
We construct a bijection between - and -avoiding permutations that preserves the property of -stack-sortability. Our bijection transforms natural statistics between th…
math.CO2025
Bijections in weakly increasing trees via binary trees
Yang Li, Zhicong Lin
As a unification of increasing trees and plane trees, the weakly increasing trees labeled by a multiset was introduced by Lin-Ma-Ma-Zhou in 2021. Motived by some symmetries in plan…
math.CO2025
Combinatorics on bi--positivity of -Eulerian polynomials
Sherry H. F. Yan, Xubo Yang, Zhicong Lin
The -Eulerian polynomials were introduced as ascent polynomials over -inversion sequences by Savage and Viswanathan. The bi--positivity of the -Eul…