Matthias Beck

collaborators

3 papers

math.CO2026

A Closer Look at Chapoton's q-Ehrhart Polynomials

Matthias Beck, Thomas Kunze

If $P$ is a lattice polytope (i.e., $P$ is the convex hull of finitely many integer points in $R^{d}$ ), Ehrhart's famous theorem (1962) asserts that the…

math.CO2026

$q$ -Chromatic polynomials

Esme Bajo, Matthias Beck, AndrÃ©s R. Vindas-MelÃ©ndez

We study a $q$ -version of the chromatic polynomial of a given graph $G = (V, E)$ , namely, \[ Ï_G^Î»(q,n) \ := \sum_{\substack{\text{proper colorings}\\ c\,:\,V\to[n]}} q^{ \sum_{ v \…

math.CO2025

Generating functions of $q$ -chromatic polynomials

Matthias Beck, Benjamin Braun, Alvaro Cornejo

Given a graph $G = (V, E)$ and a linear form $I^» \in Z_{> 0}^{V}$ , Bajo et al. (2025) introduced the $q$ -chromatic polynomial $Ï_G^Î»(q,n) := \sum q^{\sum_{v \in V} Î»_v c(v)…

A Closer Look at Chapoton's q-Ehrhart Polynomials

q-Chromatic polynomials

Generating functions of q-chromatic polynomials

$q$ -Chromatic polynomials

Generating functions of $q$ -chromatic polynomials