Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Some graph theoretical characterizations of positive definite symmetric
  quasi-Cartan matrices   We present some graphical characterizations of positive definite symmetric
quasi-Cartan matrices of Dynkin type $\mathbb{A}_{n}$ and $\mathbb{D}_{n}$. Our
proofs are constructive, purely graph theoretical, and almost self-contained in
the sense that they rely on the classical inflations method only.

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The categories of this paper are: atom-ph
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The categories of this paper are: econ
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The categories of this paper are: mtrl-th
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The categories of this paper are: eess
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The categories of this paper are: gr-qc
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The categories of this paper are: plasm-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: nlin
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The categories of this paper are: cmp-lg
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The categories of this paper are: stat
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The categories of this paper are: alg-geom
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The categories of this paper are: comp-gas
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The categories of this paper are: patt-sol
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The categories of this paper are: quant-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: ao-sci