Esme Bajo

collaborators

3 papers

math.CO2024

$q$ -Chromatic polynomials

Esme Bajo, Matthias Beck, Andrés R. Vindas-Meléndez

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

math.CO2023

Local $h^{*}$ -polynomials for one-row Hermite normal form simplices

Esme Bajo, Benjamin Braun, Giulia Codenotti +2

The local $h^{*}$ -polynomial of a lattice polytope is an important invariant arising in Ehrhart theory. Our focus is on lattice simplices presented in Hermite normal form with a sing…

math.CO2023

Weighted Ehrhart Theory: Extending Stanley's nonnegativity theorem

Esme Bajo, Robert Davis, Jesús A. De Loera +4

We generalize R. P. Stanley's celebrated theorem that the $h^{*}$ -polynomial of the Ehrhart series of a rational polytope has nonnegative coefficients and is monotone under contai…

q-Chromatic polynomials

Local h∗-polynomials for one-row Hermite normal form simplices

Weighted Ehrhart Theory: Extending Stanley's nonnegativity theorem

$q$ -Chromatic polynomials

Local $h^{*}$ -polynomials for one-row Hermite normal form simplices