Genus From Sandpile Torsor Algorithm
Séminaire lotharingien de combinatoire, 80B (2018)
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Previous work by Chan-Church-Grochow and Baker-Wang showed that the output of the rotor routing and Bernardi sandpile torsor algorithms can be used to distinguish a planar ribbon graph from a nonplanar ribbon graph. Here, we show that this output is not enough to determine the genus of a ribbon graph. Nevertheless, we provide an algorithm that is able to detect the genus of a ribbon graph from the output of the rotor routing process if further information is known.