Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the size of planar graphs with positive Lin-Lu-Yau Ricci curvature   We show that if a planar graph $G$ with minimum degree at least $3$ has
positive Lin-Lu-Yau Ricci curvature on every edge, then $\Delta(G)\leq 17$,
which then implies that $G$ is finite. This is an analogue of a result of DeVos
and Mohar [{\em Trans. Amer. Math. Soc., 2007}] on the size of planar graphs
with positive combinatorial curvature.

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The categories of this paper are: cmp-lg
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The categories of this paper are: nucl-th
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The categories of this paper are: stat
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The categories of this paper are: hep-ex
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The categories of this paper are: q-bio
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The categories of this paper are: quant-ph
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The categories of this paper are: math-ph
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The categories of this paper are: adap-org
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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: nucl-ex
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The categories of this paper are: funct-an
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The categories of this paper are: ao-sci
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The categories of this paper are: acc-phys
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The categories of this paper are: astro-ph
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The categories of this paper are: q-alg