Year: 2024
Type: article
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.
Source: Experimental Mathematics
Author: Gabriele Balletti
Language: English
Subfield: Discrete Mathematics and Combinatorics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4403915134