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math.CO2026
Two infinite families of counterexamples to the Stanley--Gasharov conjecture
David G. L. Wang, K. Zhang, T. Y. Zhao
The Stanley--Gasharov conjecture asserts that every claw-free graph is Schur-positive. Prajapati and, independently, Matherne and Morales identified the same pair of counterexample…
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…