Mathematics > Combinatorics
[Submitted on 20 Apr 2018 (v1), last revised 5 Jan 2021 (this version, v4)]
Title:Determining Genus From Sandpile Torsor Algorithms
View PDFAbstract: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.
Submission history
From: Alex McDonough [view email][v1] Fri, 20 Apr 2018 19:33:16 UTC (18 KB)
[v2] Mon, 10 Feb 2020 20:59:26 UTC (22 KB)
[v3] Wed, 16 Dec 2020 23:38:09 UTC (172 KB)
[v4] Tue, 5 Jan 2021 06:09:09 UTC (27 KB)
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