Geometry of tropical moduli spaces and linkage of graphs
classification
🧮 math.AG
math.CO
keywords
linkagegraphsmoduliprovespacestheoremtropicalalternating
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We prove the following "linkage" theorem: two p-regular graphs of the same genus can be obtained from one another by a finite alternating sequence of one-edge-contractions; moreover this preserves 3-edge-connectivity. We use the linkage theorem to prove that various moduli spaces of tropical curves are connected through codimension one.
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