Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Torelli Theorem for Graph Isomorphisms   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.

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The categories of this paper are: astro-ph
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The categories of this paper are: eess
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The categories of this paper are: plasm-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: econ
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The categories of this paper are: q-bio
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The categories of this paper are: hep-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: nlin
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The categories of this paper are: patt-sol
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The categories of this paper are: mtrl-th
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The categories of this paper are: stat
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The categories of this paper are: gr-qc
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The categories of this paper are: hep-lat
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The categories of this paper are: funct-an