Geometry of tropical moduli spaces and linkage of graphs |
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| Authors: | Lucia Caporaso |
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| Affiliation: | Dipartimento di Matematica, Università Roma Tre, Largo S. Leonardo Murialdo 1, 00146 Roma, Italy |
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| Abstract: | 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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| Keywords: | Graph Edge-contraction Regular graph Hamiltonian cycle Tropical curve Moduli spaces |
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