Determining Genus From Sandpile Torsor Algorithms
Combinatorics
2023-06-22 v4
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.
Cite
@article{arxiv.1804.07807,
title = {Determining Genus From Sandpile Torsor Algorithms},
author = {Alex McDonough},
journal= {arXiv preprint arXiv:1804.07807},
year = {2023}
}
Comments
Reformatted for DMTCS