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Determining Genus From Sandpile Torsor Algorithms (1804.07807v4)
Published 20 Apr 2018 in math.CO
Abstract: We provide a pair of ribbon graphs that have the same rotor routing and Bernardi sandpile torsors, but different topological genus. This resolves a question posed by M. Chan [Cha]. We also show that if we are given a graph, but not its ribbon structure, along with the rotor routing sandpile torsors, we are able to determine the ribbon graph's genus.
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