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math.CO2024
On a Conjecture Concerning the Roots of Ehrhart Polynomials of Symmetric Edge Polytopes from Complete Multipartite Graphs
Max Kölbl
In [7], Higashitani, Kummer, and Michałek pose a conjecture about the symmetric edge polytopes of complete multipartite graphs and confirm it for a number of families in the bipart…
math.CO2023★ 1 cited
Nearly Gorenstein Polytopes
Thomas Hall, Max Kölbl, Koji Matsushita +1
In this paper, we study nearly Gorensteinness of Ehrhart rings arising from lattice polytopes. We give necessary conditions and sufficient conditions on lattice polytopes for their…
math.CO2022
Properties of Ehrhart Polynomials whose Roots Lie on the Critical Line
Max Kölbl
We study a class of polynomials that has all of its roots on the critical line and shares many properties with Ehrhart polynomials. Braun showed that the roots of Ehrhart polynomia…