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Move-reduced graphs on a torus

Pavel GalashinTerrence George
Dec 2022
摘要
We determine which bipartite graphs embedded in a torus are move-reduced. Inaddition, we classify equivalence classes of such move-reduced graphs undersquare/spider moves. This extends the class of minimal graphs on a torusstudied by Goncharov-Kenyon, and gives a toric analog of Postnikov's results ona disk.
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