Move-reduced graphs on a torus
Combinatorics
2022-12-27 v1
Abstract
We determine which bipartite graphs embedded in a torus are move-reduced. In addition, we classify equivalence classes of such move-reduced graphs under square/spider moves. This extends the class of minimal graphs on a torus studied by Goncharov-Kenyon, and gives a toric analog of Postnikov's results on a disk.
Cite
@article{arxiv.2212.12962,
title = {Move-reduced graphs on a torus},
author = {Pavel Galashin and Terrence George},
journal= {arXiv preprint arXiv:2212.12962},
year = {2022}
}
Comments
37 pages, 24 figures