Circular chromatic e-positivity conjecture

Let $\mathbf{a}$ be a circular area sequence, and let $\mathrm{X}_{\mathbf{a}}(\mathbf{x};q)$ be the corresponding chromatic symmetric function. Circular chromatic e-positivity conjecture. Then $\mathrm{X}_{\mathbf{a}}(\mathbf{x};q)$ is $\mathrm{e}$-positive, with unimodal coefficients. The paper presents this as the suspected circular generalization of the Shareshian–Wachs conjecture; it is open.