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arxiv: 1804.07807 · v4 · pith:HMKHYNOVnew · submitted 2018-04-20 · 🧮 math.CO

Determining Genus From Sandpile Torsor Algorithms

classification 🧮 math.CO
keywords genusribbonsandpilegraphrotorroutingtorsorsable
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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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