Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Determinant Expansions of Signed Matrices and of Certain Jacobians   This paper treats two topics: matrices with sign patterns and Jacobians of
certain mappings. The main topic is counting the number of plus and minus
coefficients in the determinant expansion of sign patterns and of these
Jacobians. The paper is motivated by an approach to chemical networks initiated
by Craciun and Feinberg. We also give a graph-theoretic test for determining
when the Jacobian of a chemical reaction dynamics has a sign pattern.

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The categories of this paper are: cond-mat
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The categories of this paper are: hep-th
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The categories of this paper are: bayes-an
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The categories of this paper are: q-bio
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The categories of this paper are: alg-geom
34
The categories of this paper are: chem-ph
32
The categories of this paper are: atom-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: q-fin
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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: astro-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: acc-phys
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The categories of this paper are: quant-ph
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The categories of this paper are: ao-sci