Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Crossing Numbers and Stress of Random Graphs   Consider a random geometric graph over a random point process in
$\mathbb{R}^d$. Two points are connected by an edge if and only if their
distance is bounded by a prescribed distance parameter. We show that projecting
the graph onto a two dimensional plane is expected to yield a constant-factor
crossing number (and rectilinear crossing number) approximation. We also show
that the crossing number is positively correlated to the stress of the graph's
projection.

4
The categories of this paper are: cond-mat
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The categories of this paper are: gr-qc
23
The categories of this paper are: solv-int
27
The categories of this paper are: comp-gas
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The categories of this paper are: bayes-an
6
The categories of this paper are: astro-ph
8
The categories of this paper are: hep-ex
20
The categories of this paper are: acc-phys
21
The categories of this paper are: adap-org
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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: atom-ph
29
The categories of this paper are: funct-an
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The categories of this paper are: quant-ph
9
The categories of this paper are: nlin
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The categories of this paper are: mtrl-th