论文标题

移动降低图形上的图形

Move-reduced graphs on a torus

论文作者

Galashin, Pavel, George, Terrence

论文摘要

我们确定嵌入在圆环中的哪些两分图被移动。此外,我们在方形/蜘蛛移动下对此类移动的图形的等效类别进行分类。这扩展了Goncharov-Kenyon研究的圆环上的最小图类别,并在磁盘上给出了尼科夫的结果。

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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