A Torelli Theorem for Graph Isomorphisms
Combinatorics
2023-07-25 v3 Algebraic Geometry
Abstract
It is known that isomorphisms of graph Jacobians induce cyclic bijections on the associated graphs. We characterize when such cyclic bijections can be strengthened to graph isomorphisms, in terms of an easily computed divisor. The result refines tools used in algebraic geometry to examine the fibers of the compactified Torelli map.
Cite
@article{arxiv.2112.07009,
title = {A Torelli Theorem for Graph Isomorphisms},
author = {Sarah Griffith},
journal= {arXiv preprint arXiv:2112.07009},
year = {2023}
}
Comments
Belated update to publication version