Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The maximum number of intersections of two polygons   We investigate the maximum number of intersections between two polygons with
p and q vertices, respectively, in the plane. The cases where p or q is even or
the polygons do not have to be simple are quite easy and already known, but
when p and q are both odd and both polygons are simple, the problem is more
difficult. The conjectured maximum is (p-1)(q-1)+2 for all odd p and q.

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The categories of this paper are: astro-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: chem-ph
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The categories of this paper are: q-bio
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The categories of this paper are: bayes-an
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The categories of this paper are: comp-gas
33
The categories of this paper are: plasm-ph
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The categories of this paper are: funct-an
32
The categories of this paper are: atom-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: nucl-ex
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The categories of this paper are: cond-mat
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The categories of this paper are: alg-geom
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The categories of this paper are: supr-con
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The categories of this paper are: eess
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The categories of this paper are: dg-ga