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arXiv · 2309.16848

A genetic algorithm to search the space of Ehrhart $h^*$-vectors

Gabriele Balletti
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Abstract

We describe a genetic algorithm to find candidates for $h^*$-vectors satisfying given properties in the space of integers vectors of finite length. We use an implementation of such algorithm to find a 52-dimensional lattice polytope having a non-unimodal $h^*$-vector which is the Cartesian product of two lattice polytopes having unimodal $h^*$-vectors. This counterexample answers negatively to a question by Ferroni and Higashitani.

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BibTeXRIS

Gabriele Balletti. 2024-10-23. A genetic algorithm to search the space of Ehrhart $h^*$-vectors. https://doi.org/10.1080/10586458.2024.2419526

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