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arXiv · 2212.12962

Move-reduced graphs on a torus

Pavel Galashin·Terrence George
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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.

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Pavel Galashin, Terrence George. 2022-12-25. Move-reduced graphs on a torus. https://arxiv.org/abs/2212.12962

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