In this article we show how to compute the chromatic quasisymmetric function of indifference
graphs from the modular law introduced in [19]. We provide an algorithm which works for …

We prove a new signed elementary symmetric function expansion of the chromatic
quasisymmetric function of any natural unit interval graph. We then use a sign-reversing …

Chromatic symmetric functions are well-studied symmetric functions in algebraic
combinatorics that generalize the chromatic polynomial and are related to Hessenberg …

Schur functions are a basis of the symmetric function ring that represent Schubert
cohomology classes for Grassmannians. Replacing the cohomology ring with $ K $-theory …

We realize two families of combinatorial symmetric functions via the complex character
theory of the finite general linear group GL⁡ n (𝔽 q): chromatic quasisymmetric functions …

In this paper, we introduce the\emph {$\alpha $-chromatic symmetric functions}
$\chi^{(\alpha)} _\pi [X; q] $, extending Shareshian and Wachs' chromatic symmetric …

We prove that a tree with a vertex of degree at least five must be missing a connected
partition of some type and therefore its chromatic symmetric function cannot be $ e …

The chromatic quasisymmetric functions (csf) of Shareshian and Wachs associated to unit
interval orders have attracted a lot of interest since their introduction in 2016, both in …

Let $ P $ be a poset, $ inc (P) $ its incomparability graph, and $ X_ {inc (P)} $ the
corresponding chromatic symmetric function, as defined by Stanley in {\em Adv. Math.},{\bf …

We establish Guay-Paquet's unpublished linear relation between certain chromatic
symmetric functions by relating his algebra on paths to the $ q $-Klyachko algebra. The …