3 papers
math.CO2025
Counting permutations by alternating runs via Hetyei-Reiner trees
Qiongqiong Pan, Yunze Wang, Jiang Zeng
The generating polynomial of permutations of size , counted by the number of alternating runs, has a root at of multiplicity for all . Th…
math.CO2025
An involution for trivariate symmetries of vincular patterns
Joanna N. Chen, Shishuo Fu, Jiang Zeng
We provide a bijective proof of the equidistribution of two pairs of vincular patterns in permutations, thereby resolving a recent open problem of Bitonti, Deb, and Sokal (arXiv:24…
math.CO2018
Around the -binomial-Eulerian polynomials
Zhicong Lin, David G. L. Wang, Jiang Zeng
We find a combinatorial interpretation of Shareshian and Wachs' -binomial-Eulerian polynomials, which leads to an alternative proof of their --positivity using group actio…