Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Thistlethwaite's theorem for virtual links   The celebrated Thistlethwaite theorem relates the Jones polynomial of a link
with the Tutte polynomial of the corresponding planar graph. We give a
generalization of this theorem to virtual links. In this case, the graph will
be embedded into a (higher genus) surface. For such graphs we use the
generalization of the Tutte polynomial discovered by B.Bollobas and O.Riordan.

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The categories of this paper are: hep-th
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The categories of this paper are: cond-mat
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The categories of this paper are: funct-an
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The categories of this paper are: gr-qc
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The categories of this paper are: stat
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The categories of this paper are: comp-gas
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The categories of this paper are: chao-dyn
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The categories of this paper are: astro-ph
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The categories of this paper are: nlin
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The categories of this paper are: q-alg
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The categories of this paper are: q-fin
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The categories of this paper are: patt-sol
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The categories of this paper are: solv-int
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The categories of this paper are: physics
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The categories of this paper are: cs
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The categories of this paper are: atom-ph