Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Coulson Integral Formula for the Vertex Energy of a Graph   In this note we prove that the vertex energy of a graph, as defined in
Arizmendi and Juarez (2018), can be calculated in terms of a Coulson integral
formula. We present examples of how this formula can be used, and we show some
applications to bipartite graphs.

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The categories of this paper are: physics
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The categories of this paper are: solv-int
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The categories of this paper are: adap-org
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The categories of this paper are: cs
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The categories of this paper are: dg-ga
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The categories of this paper are: atom-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: bayes-an
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The categories of this paper are: chem-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: hep-ex
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The categories of this paper are: q-fin
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The categories of this paper are: q-alg
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The categories of this paper are: comp-gas
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The categories of this paper are: nlin
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The categories of this paper are: math-ph