Cubic torus obstructions of small Betti number
Combinatorics
2025-07-02 v1
Abstract
The embeddability of graphs into surfaces has been studied for nearly a century. While the complete set of topological obstructions is known for the sphere and the real projective plane, there are only partial results for the torus. Here we present a theoretical classification of cubic torus obstructions with Betti number at most eight.
Cite
@article{arxiv.2507.00876,
title = {Cubic torus obstructions of small Betti number},
author = {Marie Kramer},
journal= {arXiv preprint arXiv:2507.00876},
year = {2025}
}