K. Zhang

collaborators

3 papers

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.CO2025

The trinacria graphs $T_{(b + 2) b 2}$ are $e$ -positive

Simon Y. M. Gong, David G. L. Wang, K. Zhang

In this paper, we identify a new family of $e$ -positive graphs, called the trinacria graphs $T_{(b + 2) b 2}$ , thereby providing a partial answer to Stanley's question on which graphs…

math.CO2025

Exact thresholds for Schur positivity of the lattices $m \times 2$ and $m \times 3$

David G. L. Wang, K. Zhang

We determine the exact thresholds for Schur positivity in the two families of chain products $m \times 2$ and $m \times 3$ : the former is Schur positive e…

Two infinite families of counterexamples to the Stanley--Gasharov conjecture

The trinacria graphs T(b+2)b2​ are e-positive

Exact thresholds for Schur positivity of the lattices m×2 and m×3

The trinacria graphs $T_{(b + 2) b 2}$ are $e$ -positive

Exact thresholds for Schur positivity of the lattices $m \times 2$ and $m \times 3$