4 citations · 5 across the 4 of their papers we have counts for
4 papers
-Chromatic polynomials
Esme Bajo, Matthias Beck, Andrés R. Vindas-Meléndez
We study a -version of the chromatic polynomial of a given graph , namely, \[ χ_G^λ(q,n) \ := \sum_{\substack{\text{proper colorings}\\ c\,:\,V\to[n]}} q^{ \sum_{ v \in…
Local -polynomials for one-row Hermite normal form simplices
Esme Bajo, Benjamin Braun, Giulia Codenotti +2
The local -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…
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 -polynomial of the Ehrhart series of a rational polytope has nonnegative coefficients and is monotone under contai…
Boundary -polynomials of rational polytopes
Esme Bajo, Matthias Beck
If is a lattice polytope (i.e., is the convex hull of finitely many integer points in ) of dimension , Ehrhart's famous theorem (1962) asserts that the int…