Adrian She

collaborators

2 papers

math.CO2019

Chromatic Posets

Samantha Dahlberg, Adrian She, Stephanie van Willigenburg

In 1995 Stanley introduced the chromatic symmetric function $X_{G}$ of a graph $G$ , whose $e$ -positivity and Schur-positivity has been of large interest. In this paper we study the r…

math.CO2019

Schur and $e$ -positivity of trees and cut vertices

Samantha Dahlberg, Adrian She, Stephanie van Willigenburg

We prove that the chromatic symmetric function of any $n$ -vertex tree containing a vertex of degree $d \geq lo g_{2} n + 1$ is not $e$ -positive, that is, not a positive linear combinat…

Chromatic Posets

Schur and e-positivity of trees and cut vertices

Schur and $e$ -positivity of trees and cut vertices